Pith. sign in

REVIEW 2 major objections 3 minor 236 references

Molecular triplets and other metastable states for excitonic quantum batteries

T0 review · 2 major / 3 minor · reviewed 2026-08-01 · deepseek-v4-flash

Pith's one-line read Excitonic quantum batteries overcome nanosecond self-discharge by storing energy in dark molecular states—triplets, fission pairs, or separated charges—as experiments with thousand-fold lifetime extensions show.

desk verdict A genuinely useful review chapter whose central claims rest on published experiments and hold up; the one new model — collective singlet-fission triplet harvesting — is asserted rather than derived and should be flagged as speculative. read the letter →

arxiv 2607.26436 v1 pith:QVDDMPQN submitted 2026-07-29 quant-ph cond-mat.mes-hallphysics.atm-clus

classification quant-phcond-mat.mes-hallphysics.atm-clus
keywords excitonicquantumbatteriessuperabsorptionsuperradiancemoleculartripletsintersystemcrossingsingletfissioncharge-separatedstatesorganicmicrocavities
verification ladder T0 review T1 audit T2 compute T3 formal

The pith

A machine-rendered reading of the paper's core claim, the machinery that carries it, and where it could break.

The reading

This review argues that the practical future of excitonic quantum batteries hinges on a simple trade: the same collective coupling that gives molecules superabsorption—fast, scalable charging—also makes them superradiant, so stored energy radiates away on nanosecond timescales. The common remedy is to keep the bright states for charging and the dark states for storage, tuning the coupling between the two. The paper surveys three ways to build that dark storage register: molecular triplet states populated by intersystem crossing or polariton-triplet resonance, triplet pairs made by singlet fission, and charge-separated electron–hole pairs. It points to device experiments showing a thousand-fold storage-time extension and superextensive electrical power output, and it proposes a collective 'supertransfer' channel for harvesting delocalised triplets.

What carries the argument

The central objects are the bright and dark manifolds of a Dicke–cavity ensemble of molecular qutrits (S0, S1, T1). The bright state |B⟩ = (1/√N) Σ σ_n⁺|G⟩ couples to the cavity with enhanced coupling g√N, enabling superabsorption; the N−1 orthogonal dark states are decoupled from the field and form a storage reservoir. The paper's conceptual machinery is the 'charge bright, store dark' principle, realised by intersystem crossing (spin–orbit mediated singlet-to-triplet transfer), singlet fission (spin-allowed conversion of one singlet into two triplets), or charge separation (electron–hole separation at a type-II heterojunction). The proposed supertransfer channel L_T^(col) = √Γ Σ_i T_i is t

What would settle it

Measure the triplet-capture rate of the proposed donor–acceptor cavity as a function of the number of donor molecules N at fixed acceptor geometry and detuning. If the rate grows linearly with N, supertransfer is confirmed; if it saturates at a value set by individual molecules (or grows as √N at best), the collective supertransfer assumption fails.

Watch

Extended reading notes

Core claim

The central claim is that engineering metastability—fast population of a state that is slow to decay—can resolve the superabsorption/superradiance dilemma of organic microcavity quantum batteries. The paper identifies the design principle as: charge through a bright manifold that couples collectively to the cavity, store in a dark manifold that does not couple to radiation, and control the coupling between the two. It reviews the physical mechanisms (intersystem crossing, singlet fission, charge separation), the experimental milestones (a 40.3 µs self-discharge time versus nanoseconds, and a full charge-storage-extraction cycle with cavity-enhanced power scaling as N²), and the theoretical t

Load-bearing premise

The central claim rests on the assumption that triplet pairs produced by singlet fission remain delocalised long enough for a collective acceptor channel to capture them with a rate that grows with N; if disorder or phonon-induced localisation makes triplet capture local rather than collective, the supertransfer scaling disappears.

Editorial extensions

If this is right

  • If dark-manifold storage works as claimed, excitonic quantum batteries can extend storage from nanoseconds to microseconds or beyond while retaining superextensive charging power, making room-temperature solid-state energy storage realistic.
  • The reported cavity-enhanced power scaling (P_cav ∝ N²) implies collective effects can survive the incoherent steps of charge separation and transport, so strong coupling can be exploited all the way to the electrical output of a device, not just in optical spectroscopy.
  • A collective triplet acceptor channel, if realised, would give a scalable route from singlet fission to harvested triplets, avoiding the local capture bottleneck of isolated chromophores.
  • If triplets with hour-scale lifetimes can be integrated with fast intersystem crossing, the combination points toward storage times meaningful for practical optoelectronic devices.
  • The framework—engineering metastability in a driven-dissipative quantum system—extends beyond organic cavities to other platforms, offering a general strategy for quantum energy storage.

Reading between the lines

Editorial extensions of the paper, not claims the author makes directly.

  • A testable extension: in the proposed model, the supertransfer enhancement should produce a linear dependence of triplet capture rate on donor number N only while triplet pairs remain delocalised; measuring the capture rate as a function of donor density and magnetic-field-induced localisation would separate collective from hopping-mediated transfer.
  • The same charge-bright/store-dark principle could be applied to other collective quantum systems, e.g., trapped-ion or atomic ensembles, by identifying a metastable dark manifold and a controlled coupling to the bright charger; such a cross-platform translation is implicit in the paper's outlook but not worked out.
  • If the polariton-triplet hybridisation trade-off generalises (the stronger the charging resonance, the shorter the storage lifetime), then a two-step protocol—fast resonant charging followed by rapid detuning—could avoid the lifetime erosion; the paper does not analyse this, but it follows directly from its lifetime equation.
  • The paper's emphasis on ergotropy rather than stored energy suggests a concrete benchmark for future devices: report extractable work, not just population lifetimes; such a standard would make different metastable-state strategies directly comparable.
Share X Bluesky LinkedIn Reddit HN

Editorial analysis

A structured set of objections, weighed in public.

Desk editor's note, referee report, and a circularity audit.

Referee Report

2 major / 3 minor

Summary. This review chapter examines strategies for extending the energy-storage lifetime of excitonic quantum batteries, which are limited by superradiant decay of bright singlet excitons. The unifying principle is to charge through a bright manifold and store energy in a dark metastable manifold. The paper reviews three implementations: population of molecular triplets via intersystem crossing or polariton-triplet coupling, generation of triplet pairs via singlet fission, and formation of charge-separated states. It discusses the theory of cavity-exciton interactions, open-system modelling, and recent experiments, notably Refs. [32,33], reporting thousand-fold increases in self-discharge time and superextensive electrical power. The authors also propose a minimal model of collective triplet harvesting via a collective Lindblad channel in Sec. IV B, claiming supertransfer scaling linearly with donor and acceptor numbers.

Significance. If its central claims hold, the review provides a timely and useful synthesis of a fast-moving experimental area, and the design principle (bright charger, dark storage) is clearly articulated. The paper's strengths include a careful pedagogical treatment of Dicke physics and open quantum systems, a comprehensive reference list, and explicit recognition of limitations such as the failure of mean-field theory. The experimental results from Refs. [32,33] (the latter involving the authors) are peer-reviewed and independently supported where cited. However, the novel theoretical element—collective triplet supertransfer—is underdeveloped and currently speculative, which tempers the paper's original contribution. The review will be valuable if the claims are properly qualified and internal inconsistencies resolved.

major comments (2)
  1. [Sec. IV B, Eq. (49)] The collective triplet-acceptor channel L_T^(col)=√Γ Σ_i T_i is introduced as a proposal, but the subsequent claim that it 'opens to capturing delocalised triplets' and yields supertransfer scaling linearly with N_D and N_A is not derived. The channel does not contain any acceptor degrees of freedom, so the dependence on N_A is undefined; the scaling with N_D presumes identical fixed-phase coupling of all donor sites to a single acceptor mode and full delocalization of the triplet pairs, whereas the same section's Hamiltonian (Eq. (46)) uses short-range exponential triplet hopping and short-range exchange χ_ij. The text acknowledges that disorder and dephasing cause localisation, but the scaling statement is unqualified. Given that this model underpins the 'scalable triplet harvesting' outlook in Sec. VI, the authors should either provide a microscopic derivation (e.g., from a delocalise
  2. [Sec. I vs Sec. V] The Introduction states that Hymas et al. [33] 'realised the first full charge-discharge cycle of an excitonic quantum battery', but Sec. V ('Charge-separated states') states explicitly that this device is 'not, strictly speaking, a battery' and behaves as a 'cavity-enhanced photodiode' with no controllable charge-store-discharge cycle. This is a direct contradiction on a load-bearing point: the review's narrative of extended storage lifetime rests on the interpretation of this experiment. The authors should harmonise the two statements, either by rephrasing the Introduction to say the device demonstrates superextensive discharge in a photodiode geometry, or by explaining what 'full charge-discharge cycle' means operationally in the Introduction.
minor comments (3)
  1. [Sec. II B] Duplicated sentences appear in the same paragraph: 'A single confined mode does so for all the emitters at once...' is immediately followed by 'A single confined mode can do so for many emitters at once...' with overlapping content, and similarly 'Sharing a mode in this way also changes how the system loses energy' is followed by 'Sharing a mode in this way also modifies how the system exchanges energy with its environment'. Please merge or rephrase to remove redundancy.
  2. [Table I] The values of J_D, J_A and ΔE are given without uncertainties or details of the fitting procedure, although they are imported from Ref. [32]. Since the detuning sweep is central to the discussion in Sec. III B, please state the source explicitly and provide error bars if available, or note that these are representative values.
  3. [Sec. II C] Minor typographical issues: 'can be decomposed it into' should read 'can be decomposed into'; 'significanlty' should be 'significantly'. These occur in the discussion of the cavity field and the Dicke model.

Circularity Check

0 steps flagged · score 0.0 of 10

No significant circularity: the self-cited experiments are independent external evidence, and the collective supertransfer channel is an explicitly proposed ansatz, not a derived prediction.

full rationale

This is a review chapter whose load-bearing experimental claims—a thousand-fold extension of self-discharge time (Ref. [32]) and a full charge–storage–extraction cycle with superextensive electrical power (Ref. [33])—are taken from the authors' own published device papers. Under the stated rules, published, externally falsifiable experimental results count as independent evidence even when self-cited; the paper does not invoke a private uniqueness theorem or a prior theory by the same authors to rule out alternatives. The theoretical core (Dicke bright/dark manifolds, intersystem-crossing rates, triplet-pair spin structure) is standard material re-derived with explicit Hamiltonians, not imported by citation. The one new element, the collective triplet acceptor channel L_T^(col)=√Γ Σ_i T_i in Eq. (49), is explicitly introduced as a proposal ('we propose to consider') rather than as a first-principles result. Its supertransfer scaling is a direct mathematical consequence of the assumed symmetric Lindblad operator, and the paper openly lists the conditions under which it would hold, namely minimising disorder and dephasing to prevent localisation and requiring delocalised triplets. Asserting a consequence of one's own model definition is not circular when the definition is labelled as an ansatz and no fitted parameter is renamed as a prediction. The mismatch that Eq. (49) contains no acceptor-site operators yet the text claims linear N_A scaling is a derivation/correctness gap, not a circular reduction. Therefore no circular step is established.

Assumptions & free parameters 2 free parameters · 5 assumptions · 0 invented entities

The central claims rest on standard open-quantum-system assumptions plus an unvalidated collective-capture model in Sec IV B; no new physical entities are introduced.

free parameters (2)
  • collective triplet capture rate Γ
    Introduced in Eq (49) as the rate of the collective triplet-acceptor channel; the claimed linear-in-N supertransfer scaling depends on this parameter and on the collective form of the jump operator.
  • singlet fission coupling ν_ij
    Introduced in Eq (47); controls the fission rate in the proposed model; no value or estimate is provided.
assumptions (5)
  • domain assumption Each molecule is a three-level qutrit with at most one excitation (Frenkel exciton reduction).
    Sec II C, Eq (20); used to build the battery Hamiltonian and all subsequent models.
  • domain assumption The open-system dynamics are described by a Born–Markov secular GKSL master equation.
    Sec II C, Eq (29); used to model cavity loss, singlet decay, and intersystem crossing.
  • domain assumption Triplets are optically dark and only the S0–S1 transition couples to the cavity.
    Sec II A; the basis for the storage mechanisms; if triplets had sizeable dipole moments, the lifetime advantage would be reduced.
  • ad hoc to paper The collective triplet capture channel L_T^(col)=√Γ Σ_i T_i is a valid description of acceptor harvesting.
    Sec IV B, Eq (49); the linear supertransfer scaling is a direct consequence of this assumed operator, not derived from a microscopic model of the acceptor.
  • ad hoc to paper Triplet pairs remain delocalized in extended media long enough for supertransfer to occur.
    Sec IV B; the proposal requires delocalized triplet pairs, but the paper acknowledges disorder and dephasing may cause localization.

how reviews work

0 comments
Cite this review

Pith. "Pith review of Molecular triplets and other metastable states for excitonic quantum batteries." pith.science (2026). https://pith.science/paper/QVDDMPQN

@misc{pith2026260726436,
  author       = {Pith},
  title        = {Pith review of: Molecular triplets and other metastable states for excitonic quantum batteries},
  year         = {2026},
  howpublished = {\url{https://pith.science/paper/QVDDMPQN}},
  note         = {Machine review of arXiv:2607.26436}
}
read the original abstract

Excitonic quantum batteries, based on organic fluorescent molecules embedded in optical microcavities, offer a room-temperature platform for studying collective effects in energy storage and developing applications. Recent experiments have offered evidence of superabsorption, a collective enhancement to the light absorption rate of organic molecules which leads to a scalable power density. However, they have also highlighted the challenge posed by rapid radiative decay of fluorescent molecules, which limits the energy storage lifetime. Current strategies to overcome this trade-off focus on controlling the coupling between the absorbing manifold and that used for energy storage. In this chapter, we review three implementations of this design principle: transferring energy from optically excited states to long-lived dark triplet states, generating triplet pairs and higher-spin states through singlet exciton fission, and forming charge-separated states. We discuss each mechanism from both theoretical and experimental perspectives, with particular emphasis on recent device implementations that have extended storage times by several orders of magnitude. We conclude with a cross-platform outlook on the role of metastable states across coherent and room-temperature implementations, from neutral atom arrays to masers and colour centres.

Figures

Figures reproduced from arXiv: 2607.26436 by the authors.

Figure 1
Figure 1. Development of excitonic quantum batteries.—Timeline of key milestones, challenges, and outlooks in excitonic quantum batteries. Quantum batteries were first proposed in the early 2010s [1, 4, 5], which established the link between collective effects and superextensive charging power. A pivotal milestone came in 2018 with the proposal of Ferraro et al. [8] for a solid-state, optically charged Dicke quantum battery, … view at source ↗
Figure 2
Figure 2. Metastable states for excitonic quantum batteries.—Three mechanisms for channelling energy from bright, optically active states into long-lived dark manifolds that protect the stored energy from radiative loss. (a) Intersystem crossing: following absorption, the bright singlet S1 either fluoresces back to the ground state S0 at the radiative rate γr or undergoes a non-radiative transition to the lowest triplet T1 at… view at source ↗
Figure 3
Figure 3. Microcavity–based quantum battery design and its energy dynamics.— (a) The device is based on a multilayered organic microcavity where donor (charging) and acceptor (storage) layers are spatially separated. (b) Resonant pumping (γp) results in strong coupling between donor and cavity JD, facilitating rapid charging via superabsorption [31] to polariton states. Cavity interactions with the acceptor JA allow excited s… view at source ↗
Figures from the paper (2 more)
Figure 4
Figure 4. Figure 4: Full-cyle quantum battery device design.—(a) Schematic of the layered structure of the quantum battery, describing the function and composition of each component. Ultrafast pump and probe laser pulses are used to charge and measure the superextensive charging of the de…
Figure 5
Figure 5. Figure 5: Superextensive scaling of charging power in a model quantum battery.— Systematic increases in the ratio P max cav /P max ctrl with N, determined from photocurrent￾voltage measurements, indicate superextensive scaling of dis￾charging power, consistent with a collective …

Discussion (0). Continue with ORCID to comment.

Reference graph

Works this paper leans on

236 extracted references · 2 canonical work pages

  1. [32]

    D. J. Tibben, E. Della Gaspera, J. van Embden, P. Rei- neck, J. Q. Quach, F. Campaioli, and D. E. G´ omez, Extending the self-discharge time of dicke quantum bat- teries using molecular triplets, PRX Energy4, 023012 (2025)

  2. [33]

    bright triplets

    will be discussed in more detail in Sec. V. B. Polariton-triplet energy transfer In this section, we explain how triplets can be popu- latedviaa direct coupling with the cavity. At moderate to high dye concentrations, molecular aggregation can endow triplet states with a partial singlet charactervia random disorder [198–200]. These “bright triplets” ac- q...

  3. [1]

    Alicki and M

    R. Alicki and M. Fannes, Entanglement boost for ex- tractable work from ensembles of quantum batteries, Physical Review E - Statistical, Nonlinear, and Soft Matter Physics87, 1 (2013)

  4. [2]

    I. H. Deutsch, Harnessing the power of the second quan- tum revolution, PRX Quantum1, 020101 (2020)

  5. [3]

    Binder, L

    F. Binder, L. A. Correa, C. Gogolin, J. Anders, and G. Adesso, eds.,Thermodynamics in the Quantum Regime, Fundamental Theories of Physics, Vol. 195 (Springer International Publishing, Cham, 2018)

  6. [4]

    Binder, S

    F. Binder, S. Vinjanampathy, K. Modi, and J. Goold, Quantum thermodynamics of general quantum pro- cesses, Physical Review E - Statistical, Nonlinear, and Soft Matter Physics91, 032119 (2015)

  7. [5]

    Campaioli, F

    F. Campaioli, F. Pollock, F. Binder, L. C´ eleri, J. Goold, S. Vinjanampathy, and K. Modi, Enhancing the Charg- ing Power of Quantum Batteries, Physical Review Let- ters118, 150601 (2017)

  8. [6]

    Campaioli, S

    F. Campaioli, S. Gherardini, J. Q. Quach, M. Polini, and G. M. Andolina, Colloquium: Quantum batteries, Rev. Mod. Phys.96, 031001 (2024)

Show all 236 references
  1. [7]

    Ferraro, F

    D. Ferraro, F. Cavaliere, M. G. Genoni, G. Benenti, and M. Sassetti, Opportunities and challenges of quantum batteries, Nature Reviews Physics8, 86 (2026)

  2. [8]

    Ferraro, M

    D. Ferraro, M. Campisi, G. M. Andolina, V. Pellegrini, and M. Polini, High-Power Collective Charging of a Solid-State Quantum Battery, Physical Review Letters 120, 117702 (2018)

  3. [9]

    R. H. Dicke, Coherence in spontaneous radiation pro- cesses, Phys. Rev.93, 99 (1954)

  4. [10]

    Gross and S

    M. Gross and S. Haroche, Superradiance: An essay on the theory of collective spontaneous emission, Phys. Rep.93, 301 (1982)

  5. [11]

    J. M. Raimond, M. Brune, and S. Haroche, Manipulat- ing quantum entanglement with atoms and photons in a cavity, Rev. Mod. Phys.73, 565 (2001)

  6. [12]

    G. M. Andolina, M. Keck, A. Mari, V. Giovannetti, and M. Polini, Quantum versus classical many-body batter- ies, Physical Review B99, 1 (2019)

  7. [13]

    Juli` a-Farr´ e, T

    S. Juli` a-Farr´ e, T. Salamon, A. Riera, M. N. Bera, and M. Lewenstein, Bounds on the capacity and power of quantum batteries, Physical Review Research2, 023113 (2020)

  8. [14]

    Ferraro, M

    D. Ferraro, M. Campisi, G. M. Andolina, V. Pellegrini, 20 and M. Polini, Reply to the comment on ”high-power collective charging of a solid-state quantum battery” by haowei xu and ju li, arXiv:2412.01830 (2024)

  9. [15]

    Nataf and C

    P. Nataf and C. Ciuti, No-go theorem for superradiant quantum phase transitions in cavity QED and counter- example in circuit QED, Nat. Commun.1, 72 (2010)

  10. [16]

    A. F. Kockum, A. Miranowicz, S. De Liberato, S. Savasta, and F. Nori, Ultrastrong coupling between light and matter, Nature Reviews Physics1, 19 (2019)

  11. [17]

    Crescente, M

    A. Crescente, M. Carrega, M. Sassetti, and D. Ferraro, Ultrafast charging in a two-photon Dicke quantum bat- tery, Physical Review B102, 1 (2020)

  12. [18]

    Gemme, G

    G. Gemme, G. M. Andolina, F. M. D. Pellegrino, M. Sassetti, and D. Ferraro, Off-resonant Dicke quan- tum battery: Charging by virtual photons, Batteries9, 197 (2023)

  13. [19]

    R. G. DeVoe and R. G. Brewer, Observation of su- perradiant and subradiant spontaneous emission of two trapped ions, Phys. Rev. Lett.76, 2049 (1996)

  14. [20]

    Genway, W

    S. Genway, W. Li, C. Ates, B. P. Lanyon, and I. Lesanovsky, Generalized Dicke nonequilibrium dy- namics in trapped ions, Phys. Rev. Lett.112, 023603 (2014)

  15. [21]

    Aedo and L

    I. Aedo and L. Lamata, Analog quantum simulation of generalized Dicke models in trapped ions, Phys. Rev. A 97, 042317 (2018)

  16. [22]

    J. Wen, Z. Wen, P. Peng, and G.-Q. Li, Dicke–ising quantum battery of an ion chain driven by a mechanical oscillator, Chinese Physics B34, 100302 (2025)

  17. [23]

    Scheibner, T

    M. Scheibner, T. Schmidt, L. Worschech, A. Forchel, G. Bacher, T. Passow, and D. Hommel, Superradiance of quantum dots, Nat. Phys.3, 106 (2007)

  18. [24]

    Rain` o, M

    G. Rain` o, M. A. Becker, M. I. Bodnarchuk, R. F. Mahrt, M. V. Kovalenko, and T. St¨ oferle, Superfluorescence from lead halide perovskite quantum dot superlattices, Nature563, 671 (2018)

  19. [25]

    Maillette de Buy Wenniger, S

    I. Maillette de Buy Wenniger, S. E. Thomas, M. Maffei, S. C. Wein, M. Pont, N. Belabas, S. Prasad, A. Harouri, A. Lema ˆ ıtre, I. Sagnes, N. Somaschi, A. Auff` eves, and P. Senellart, Experimental analysis of energy transfers between a quantum emitter and light fields, Phys. R...

  20. [26]

    Bradaˇ c, M

    C. Bradaˇ c, M. T. Johnsson, M. van Breugel, B. Q. Baragiola, R. Martin, M. L. Juan, G. K. Brennen, and T. Volz, Room-temperature spontaneous superradiance from single diamond nanocrystals, Nat. Commun.8, 1205 (2017)

  21. [27]

    Angerer, K

    A. Angerer, K. Streltsov, T. Astner, S. Putz, H. Sumiya, S. Onoda, J. Isoya, W. J. Munro, K. Nemoto, J. Schmiedmayer, and J. Majer, Superradiant emission from colour centres in diamond, Nat. Phys.14, 1168 (2018)

  22. [28]

    Y.-D. Qu, Y. Zhang, P. Ni, C. Shan, D. Hunger, and K. Mølmer, Superradiance from nitrogen-vacancy cen- ters coupled to an ultranarrow optical cavity, Physical Review A111, 033711 (2025)

  23. [29]

    D. G. Lidzey, D. D. C. Bradley, M. S. Skolnick, T. Vir- gili, S. Walker, and D. M. Whittaker, Strong exciton– photon coupling in an organic semiconductor microcav- ity, Nature395, 53 (1998)

  24. [30]

    Keeling and S

    J. Keeling and S. K´ ena-Cohen, Bose–einstein conden- sation of exciton-polaritons in organic microcavities, Annu. Rev. Phys. Chem.71, 435 (2020)

  25. [31]

    J. Q. Quach, K. E. McGhee, L. Ganzer, D. M. Rouse, B. W. Lovett, E. M. Gauger, J. Keeling, G. Cerullo, D. G. Lidzey, and T. Virgili, Superabsorption in an or- ganic microcavity: Toward a quantum battery, Science Advances8, 3160 (2022)

  26. [34]

    Hymas, J

    K. Hymas, J. B. Muir, D. Tibben, J. van Embden, T. Hirai, C. J. Dunn, D. E. G´ omez, J. A. Hutchison, T. A. Smith, and J. Q. Quach, Superextensive electrical power from a quantum battery, Light Sci. Appl.15, 168 (2026)

  27. [35]

    Ostroverkhova, Organic Optoelectronic Materials: Mechanisms and Applications, Chemical Reviews116, 13279 (2016)

    O. Ostroverkhova, Organic Optoelectronic Materials: Mechanisms and Applications, Chemical Reviews116, 13279 (2016)

  28. [36]

    Fassioli, R

    F. Fassioli, R. Dinshaw, P. C. Arpin, and G. D. Sc- holes, Photosynthetic light harvesting: Excitons and coherence, Journal of the Royal Society Interface11, 10.1098/rsif.2013.0901 (2014)

  29. [37]

    O. V. Mikhnenko, P. W. Blom, and T. Q. Nguyen, Ex- citon diffusion in organic semiconductors, Energy and Environmental Science8, 1867 (2015)

  30. [38]

    Corry, D

    B. Corry, D. Jayatilaka, and P. Rigby, Determining a flu- orophore’s transition dipole moment from fluorescence lifetime measurements in solvents of varying refractive index, Methods Appl. Fluoresc.4, 045001 (2016)

  31. [39]

    Camposeo, T

    A. Camposeo, T. Virgili, F. Lombardi, G. Cerullo, D. Pisignano, and M. Polini, Quantum batteries: A materials science perspective, Adv. Mater.37, 2415073 (2025)

  32. [40]

    J. Liu, D. Segal, and G. Hanna, Loss-Free Excitonic Quantum Battery, Journal of Physical Chemistry C 123, 18303 (2019)

  33. [41]

    Gherardini, F

    S. Gherardini, F. Campaioli, F. Caruso, and F. C. Binder, Stabilizing open quantum batteries by sequen- tial measurements, Physical Review Research2, 013095 (2020)

  34. [42]

    F. H. Kamin, F. T. Tabesh, S. Salimi, F. Kheiran- dish, and A. C. Santos, Non-Markovian effects on charg- ing and self-discharging processes of quantum batteries, New J. Phys.22, 083007 (2020)

  35. [43]

    Bai and J.-H

    S.-Y. Bai and J.-H. An, Floquet engineering to reacti- vate a dissipative quantum battery, Phys. Rev. A102, 060201 (2020)

  36. [44]

    Song, H.-B

    W.-L. Song, H.-B. Liu, B. Zhou, W.-L. Yang, and J.- H. An, Remote charging and degradation suppression for the quantum battery, Phys. Rev. Lett.132, 090401 (2024)

  37. [45]

    Xu, H.-G

    K. Xu, H.-G. Li, H.-J. Zhu, and W.-M. Liu, Inhibiting the self-discharging process of quantum batteries in non- Markovian noises, Phys. Rev. E109, 054132 (2024)

  38. [46]

    A. H. A. Malavazi, R. Sagar, B. Ahmadi, and P. R. Dieguez, Two-time weak-measurement protocol for er- gotropy protection in open quantum batteries, PRX En- ergy4, 023011 (2025)

  39. [47]

    J. Q. Quach and W. J. Munro, Using Dark States to Charge and Stabilize Open Quantum Batteries, Physi- cal Review Applied14, 1 (2020)

  40. [48]

    Dou, Y.-Q

    F.-Q. Dou, Y.-Q. Lu, Y.-J. Wang, and J.-A. Sun, Ex- tended Dicke quantum battery with interatomic interac- tions and driving field, Physical Review B105, 115405 (2022). 21

  41. [49]

    Dong, P.-B

    X.-L. Dong, P.-B. Li, and Y.-F. Xiao, Near-perfect su- perabsorption in a disordered dicke quantum battery, Phys. Rev. A113, 043701 (2026)

  42. [50]

    N. J. Hestand and F. C. Spano, Expanded Theory of H- and J-Molecular Aggregates: The Effects of Vibronic Coupling and Intermolecular Charge Transfer, Chemical Reviews118, 7069 (2018)

  43. [51]

    Davidson, A

    S. Davidson, A. Fruchtman, F. A. Pollock, and E. M. Gauger, The dark side of energy transport along exci- tonic wires: On-site energy barriers facilitate efficient, vibrationally mediated transport through optically dark subspaces, Journal of Chemical Physics153, 134701 (2020)

  44. [52]

    Davidson, F

    S. Davidson, F. A. Pollock, and E. Gauger, Eliminating radiative losses in long-range exciton transport, Physi- cal Review X Quantum3, 020354 (2022)

  45. [53]

    Li and N

    J. Li and N. Wu, Collective charging of an organic quan- tum battery, Phys. Rev. E111, 044118 (2025)

  46. [54]

    N. M. Gallagher, A. Olankitwanit, and A. Rajca, High- spin organic molecules, The Journal of Organic Chem- istry80, 1291 (2015)

  47. [55]

    Kabe and C

    R. Kabe and C. Adachi, Organic long persistent lumi- nescence, Nature550, 384 (2017)

  48. [56]

    Hirata, Recent advances in materials with room- temperature phosphorescence: Photophysics for triplet exciton stabilization, Adv

    S. Hirata, Recent advances in materials with room- temperature phosphorescence: Photophysics for triplet exciton stabilization, Adv. Opt. Mater.5, 1700116 (2017)

  49. [57]

    E. Soto, F. Leon, M. Romero, V. Castaing, S. Bajo, H. M ´ ıguez, G. Lozano, and J. Campos, A photoex- cited triplet state germylene with a half-life of hours at room temperature, Nature Chemistry 10.1038/s41557- 026-02153-2 (2026)

  50. [58]

    C. M. Marian, Understanding and controlling intersys- tem crossing in molecules, Annu. Rev. Phys. Chem.72, 617 (2021)

  51. [59]

    de Silva, Inverted singlet–triplet gaps and their rele- vance to thermally activated delayed fluorescence, The Journal of Physical Chemistry Letters10, 5674 (2019)

    P. de Silva, Inverted singlet–triplet gaps and their rele- vance to thermally activated delayed fluorescence, The Journal of Physical Chemistry Letters10, 5674 (2019)

  52. [60]

    Y. Wang, H. Wu, and Q. Zhao, Metastability-induced solid-state quantum batteries for powering microwave quantum electronics, arXiv:2410.21900 (2025)

  53. [61]

    M. J. Y. Tayebjee, S. N. Sanders, E. Kumarasamy, L. M. Campos, M. Y. Sfeir, and D. R. McCamey, Quintet mul- tiexciton dynamics in singlet fission, Nature Physics13, 182 (2017)

  54. [62]

    Casanova, Theoretical modeling of singlet fission, Chemical Reviews118, 7164 (2018)

    D. Casanova, Theoretical modeling of singlet fission, Chemical Reviews118, 7164 (2018)

  55. [63]

    A. B. Pun, A. Asadpoordarvish, E. Kumarasamy, M. J. Y. Tayebjee, D. Niesner, D. R. McCamey, S. N. Sanders, L. M. Campos, and M. Y. Sfeir, Ultra-fast in- tramolecular singlet fission to persistent multiexcitons by molecular design, Nature Chemistry11, 821 (2019)

  56. [64]

    M. B. Smith and J. Michl, Singlet fission, Chem. Rev. 110, 6891 (2010)

  57. [65]

    M. B. Smith and J. Michl, Recent Advances in Singlet Fission, Annual Review of Physical Chemistry64, 361 (2013)

  58. [66]

    A. J. Musser, M. Liebel, C. Schnedermann, T. Wende, T. B. Kehoe, A. Rao, and P. Kukura, Evidence for coni- cal intersection dynamics mediating ultrafast singlet ex- citon fission, Nat. Phys.11, 352 (2015)

  59. [67]

    Miyata, F

    K. Miyata, F. S. Conrad-Burton, F. L. Geyer, and X.- Y. Zhu, Triplet pair states in singlet fission, Chem. Rev. 119, 4261 (2019)

  60. [68]

    M. J. Y. Tayebjee, D. R. McCamey, and T. W. Schmidt, Beyond Shockley–Queisser: Molecular Ap- proaches to High-Efficiency Photovoltaics, Journal of Physical Chemistry Letters6, 2367 (2015)

  61. [69]

    M. T. Trinh, Y. Zhong, Q. Chen, T. Schiros, S. Jockusch, M. Y. Sfeir, M. Steigerwald, C. Nuck- olls, and X. Zhu, Intra- to intermolecular singlet fission, Journal of Physical Chemistry C119, 1312 (2015)

  62. [70]

    M. I. Collins, D. R. McCamey, and M. J. Y. Tayebjee, Fluctuating exchange interactions enable quintet mul- tiexciton formation in singlet fission, The Journal of Chemical Physics151, 164104 (2019)

  63. [71]

    K. E. Smyser and J. D. Eaves, Singlet fission for quan- tum information and quantum computing: the parallel JDE model, Scientific Reports10, 1 (2020)

  64. [72]

    R. J. Hudson, T. S. C. MacDonald, J. H. Cole, T. W. Schmidt, T. A. Smith, and D. R. McCamey, A frame- work for multiexcitonic logic, Nature Reviews Chem- istry8, 136 (2024)

  65. [73]

    L. A. Mart ´ ınez-Mart ´ ınez, M. Du, R. F. Ribeiro, S. K´ ena-Cohen, and J. Yuen-Zhou, Polariton-assisted singlet fission in acene aggregates, J. Phys. Chem. Lett. 9, 1951 (2018)

  66. [74]

    Climent, J

    C. Climent, J. Galego, F. J. Garcia-Vidal, and J. Feist, Not dark yet for strong light-matter coupling to accel- erate singlet fission dynamics, Cell Rep. Phys. Sci.3, 100841 (2022)

  67. [75]

    Wallner, C

    L. Wallner, C. Remnant, and O. Vendrell, Strong- coupling modification of singlet-fission dynamical path- ways, The Journal of Physical Chemistry A128, 8897 (2024)

  68. [76]

    Campaioli, A

    F. Campaioli, A. Pagano, D. Jaschke, and S. Mon- tangero, Optimization of ultrafast singlet fission in one- dimensional rings towards unit efficiency, PRX Energy 3, 043003 (2024)

  69. [77]

    Fukuzumi, K

    S. Fukuzumi, K. Ohkubo, and T. Suenobu, Long-lived charge separation and applications in artificial photo- synthesis, Acc. Chem. Res.47, 1455 (2014)

  70. [78]

    A. A. Bakulin, A. Rao, V. G. Pavelyev, P. H. M. van Loosdrecht, M. S. Pshenichnikov, D. Niedzialek, J. Cornil, D. Beljonne, and R. H. Friend, The role of driving energy and delocalized states for charge sep- aration in organic semiconductors, Science335, 1340 (2012)

  71. [79]

    Y. Hou, X. Zhang, K. Chen, D. Liu, Z. Wang, Q. Liu, J. Zhao, and A. Barbon, Charge separation, charge re- combination, long-lived charge transfer state formation and intersystem crossing in organic electron donor/ac- ceptor dyads, Journal of Materials Chemistry C7, 12048 (2019)

  72. [80]

    Aprile, L

    C. Aprile, L. Maretti, M. Alvaro, J. C. Scaiano, and H. Garcia, Long-lived (minutes) photoinduced charge separation in a structured periodic mesoporous tita- nia containing 2,4,6-triphenylpyrylium as guest, Dalton Transactions , 5465 (2008)

  73. [81]

    C. Tang, L. Song, K. Zhou, P. Ren, E. Zhao, and Z. He, Manipulating d–a interaction to achieve stable photoin- duced organic radicals in triphenylphosphine crystals, Chemical Science14, 1871 (2023)

  74. [82]

    M. R. Wasielewski, Self-assembly strategies for inte- grating light harvesting and charge separation in artifi- cial photosynthetic systems, Acc. Chem. Res.42, 1910 (2009)

  75. [83]

    D. Gust, T. A. Moore, and A. L. Moore, Solar fuels 22 via artificial photosynthesis, Accounts of Chemical Re- search42, 1890 (2009)

  76. [84]

    Macieszczak, M

    K. Macieszczak, M. Gut ¸˘ a, I. Lesanovsky, and J. P. Gar- rahan, Towards a theory of metastability in open quan- tum dynamics, Phys. Rev. Lett.116, 240404 (2016)

  77. [85]

    Carollo, A

    F. Carollo, A. Lasanta, and I. Lesanovsky, Exponen- tially accelerated approach to stationarity in marko- vian open quantum systems through the Mpemba effect, Phys. Rev. Lett.127, 060401 (2021)

  78. [86]

    C. Yin, F. M. Surace, and A. Lucas, Theory of metastable states in many-body quantum systems, Phys. Rev. X15, 011064 (2025)

  79. [87]

    G. Teza, J. Bechhoefer, A. Lasanta, O. Raz, and M. Vucelja, Speedups in nonequilibrium thermal relax- ation: Mpemba and related effects, Physics Reports 1164, 1 (2026), speedups in nonequilibrium thermal re- laxation: Mpemba and related effects

  80. [88]

    Beato and G

    N. Beato and G. Teza, Relaxation control of open quan- tum systems, Phys. Rev. Lett.136, 070401 (2026)

  81. [89]

    M. G. Debije and P. P. C. Verbunt, Thirty years of lu- minescent solar concentrator research: Solar energy for the built environment, Adv. Energy Mater.2, 12 (2012)

  82. [90]

    Zhang, A

    G. Zhang, A. Chazirakis, V. A. Harmandaris, T. Stuehn, K. C. Daoulas, and K. Kremer, Hierarchi- cal modelling of polystyrene melts: From soft blobs to atomistic resolution, Soft Matter15, 289 (2019), arXiv:1808.03205

  83. [91]

    Manian, F

    A. Manian, F. Campaioli, I. Lyskov, J. H. Cole, and S. P. Russo, Singlet Exciton Dynamics of Perylene Diimide- and Tetracene-Based Hetero/Homogeneous Substrates via an Ab Initio Kinetic Monte Carlo Model, The Jour- nal of Physical Chemistry C125, 23646 (2021)

  84. [92]

    G. Yu, J. Gao, J. C. Hummelen, F. Wudl, and A. J. Heeger, Polymer photovoltaic cells: Enhanced efficien- cies via a network of internal donor–acceptor hetero- junctions, Science270, 1789 (1995)

  85. [93]

    L. Zhu, M. Zhang, Z. Zhou,et al., Progress of organic photovoltaics towards 20% efficiency, Nature Reviews Electrical Engineering1, 581 (2024)

  86. [94]

    N. Yang, S. Zhang, Y. Cui,et al., Molecular design for low-cost organic photovoltaic materials, Nature Reviews Materials10, 404 (2025)

  87. [95]

    Feist, J

    J. Feist, J. Galego, and F. J. Garcia-Vidal, Polaritonic chemistry with organic molecules, ACS Photonics5, 205 (2018)

  88. [96]

    F. J. Garc ´ ıa-Vidal, C. Ciuti, and T. W. Ebbesen, Ma- nipulating matter by strong coupling to vacuum fields, Science373, eabd0336 (2021)

  89. [97]

    Xiang and W

    B. Xiang and W. Xiong, Molecular polaritons for chem- istry, photonics and quantum technologies, Chemical Reviews124, 2512 (2024)

  90. [98]

    H. Liu, J. Xu, Y. Li, and Y. Li, Aggregate nanostruc- tures of organic molecular materials, Accounts of Chem- ical Research43, 1496 (2010)

  91. [99]

    W¨ urthner, T

    F. W¨ urthner, T. E. Kaiser, and C. R. Saha- M¨ oller, J-aggregates: From serendipitous discovery to supramolecular engineering of functional dye materials, Angew. Chem. Int. Ed.50, 3376 (2011)

  92. [100]

    S. Ma, S. Du, G. Pan, S. Dai, B. Xu, and W. Tian, Or- ganic molecular aggregates: From aggregation structure to emission property, Aggregate2, e96 (2021)

  93. [101]

    J. E. Anthony, Functionalized acenes and heteroacenes for organic electronics, Chem. Rev.106, 5028 (2006)

  94. [102]

    Ghosh and F

    R. Ghosh and F. C. Spano, Excitons and polarons in organic materials, Accounts of Chemical Research53, 2201 (2020)

  95. [103]

    G. L. Rocca, Wannier–mott excitons in semiconduc- tors, inElectronic Excitations in Organic Nanostruc- tures, Thin Films and Nanostructures, Vol. 31 (Aca- demic Press, 2003) pp. 97–128

  96. [104]

    R. J. Elliot, Intensity of optical absorption by excitons, Phys Rev108, 1384 (1957)

  97. [105]

    M. A. El-Sayed, Spin–orbit coupling and the radiation- less processes in nitrogen heterocyclics, J. Chem. Phys. 38, 2834 (1963)

  98. [106]

    Bhandari, S

    S. Bhandari, S. Sarkar, A. Schubert, A. Yamada, J. Payne, M. Ptaszek, E. Geva, and B. D. Dunietz, In- tersystem crossing in tetrapyrrolic macrocycles: A first- principles analysis, The Journal of Physical Chemistry C125, 13493 (2021)

  99. [107]

    M. I. Collins, F. Campaioli, M. J. Y. Tayebjee, J. H. Cole, and D. R. McCamey, Quintet formation, exchange fluctuations, and the role of stochastic resonance in sin- glet fission, Commun. Phys.6, 64 (2023)

  100. [108]

    Uchida, J

    S. Uchida, J. Xue, B. P. Rand, and S. R. Forrest, Or- ganic small molecule solar cells with a homogeneously mixed copper phthalocyanine: C60 active layer, Applied Physics Letters84, 4218 (2004)

  101. [109]

    B. Cai, A. Brnovic, M. V. Pavliuk, L. Hammarstr¨ om, L. Kloo, S. A. Barnett, and H. Tian, Organic crystalline nanoparticles with a long-lived charge-separated state for efficient photocatalytic hydrogen production, Nature Chemistry18, 723 (2026)

  102. [110]

    Englman and J

    R. Englman and J. Jortner, The energy gap law for radi- ationless transitions in large molecules, Mol. Phys.18, 145 (1970)

  103. [111]

    C. M. Marian, Spin–orbit coupling and intersystem crossing in molecules, WIREs Comput. Mol. Sci.2, 187 (2012)

  104. [112]

    N. J. Turro, V. Ramamurthy, and J. C. Scaiano,Modern Molecular Photochemistry of Organic Molecules(Uni- versity Science Books, 2010)

  105. [113]

    X. Chen, J. Zhou, Z. Xie, and Y. Ma, Excitons in con- fined molecular aggregates, Information & Functional Materials1, 68 (2024)

  106. [114]

    J. Wang, Y. Yang, X. Sun, X. Li, L. Zhang, and Z. Li, Management of triplet excitons transition: fine regula- tion of F¨ orster and Dexter energy transfer simultane- ously, Light Sci. Appl.13, 35 (2024)

  107. [115]

    G. D. Scholes, Long-range resonance energy transfer in molecular systems, Annu. Rev. Phys. Chem.54, 57 (2003)

  108. [116]

    D. G. Baranov, M. Wers¨ all, J. Cuadra, T. J. An- tosiewicz, and T. Shegai, Novel Nanostructures and Ma- terials for Strong Light–Matter Interactions, ACS Pho- tonics5, 24 (2018)

  109. [117]

    B. E. A. Saleh and M. C. Teich,Fundamentals of Pho- tonics(Wiley, New York, 1991)

  110. [118]

    E. M. Purcell, Spontaneous emission probabilities at ra- dio frequencies, Phys. Rev.69, 681 (1946)

  111. [119]

    D. N. Basov, A. Asenjo-Garcia, P. J. Schuck, X. Zhu, and A. Rubio, Polariton panorama, Nanophotonics10, 549 (2021)

  112. [120]

    K. J. Vahala, Optical microcavities, Nature424, 839 (2003)

  113. [121]

    V. M. Agranovich, M. Litinskaia, and D. G. Lidzey, Cav- ity polaritons in microcavities containing disordered or- ganic semiconductors, Phys. Rev. B67, 085311 (2003). 23

  114. [122]

    Hertzog, M

    M. Hertzog, M. Wang, J. Mony, and K. B¨ orjesson, Strong light–matter interactions: a new direction within chemistry, Chemical Society Reviews48, 937 (2019)

  115. [123]

    Bhuyan, J

    R. Bhuyan, J. Mony, O. Kotov, G. W. Castel- lanos, J. G´ omez Rivas, T. O. Shegai, and K. B¨ orjes- son, The Rise and Current Status of Polaritonic Photochemistry and Photophysics, Chemical Reviews 10.1021/acs.chemrev.2c00895 (2023)

  116. [124]

    J. J. Baumberg, J. Aizpurua, M. H. Mikkelsen, and D. R. Smith, Extreme nanophotonics from ultrathin metallic gaps, Nat. Mater.18, 668 (2019)

  117. [125]

    T. W. Ebbesen, Hybrid Light–Matter States in a Molec- ular and Material Science Perspective, Accounts of Chemical Research49, 2403 (2016), type: Journal Ar- ticle

  118. [126]

    Flick, N

    J. Flick, N. Rivera, and P. Narang, Strong light-matter coupling in quantum chemistry and quantum photonics, Nanophotonics7, 1479 (2018)

  119. [127]

    Herrera and F

    F. Herrera and F. C. Spano, Theory of nanoscale organic cavities: The essential role of vibration-photon dressed states, ACS Photonics5, 65 (2018)

  120. [128]

    G. M. Andolina, D. Farina, A. Mari, V. Pellegrini, V. Giovannetti, and M. Polini, Charger-mediated en- ergy transfer in exactly solvable models for quantum batteries, Physical Review B98, 1 (2018)

  121. [129]

    G. M. Andolina, M. Keck, A. Mari, M. Campisi, V. Gio- vannetti, and M. Polini, Extractable Work, the Role of Correlations, and Asymptotic Freedom in Quantum Batteries, Physical Review Letters122, 47702 (2019)

  122. [130]

    Zhang and M

    X. Zhang and M. Blaauboer, Enhanced energy transfer in a dicke quantum battery, Frontiers in PhysicsV ol- ume 10 - 2022, 10.3389/fphy.2022.1097564 (2023)

  123. [131]

    S. S. Seidov and S. I. Mukhin, Quantum dicke battery supercharging in the bound-luminosity state, Phys. Rev. A109, 022210 (2024)

  124. [132]

    Gemme, M

    G. Gemme, M. Sassetti, and D. Ferraro, Com- paring different operating regimes of a dicke quantum battery, International Journal of Quantum Information22, 2450024 (2024), https://doi.org/10.1142/S0219749924500242

  125. [133]

    P. A. Erdman, G. M. Andolina, V. Giovannetti, and F. No´ e, Reinforcement learning optimization of the charging of a dicke quantum battery, Phys. Rev. Lett. 133, 243602 (2024)

  126. [134]

    Zhang, S

    W. Zhang, S. Wang, C. Wu, and G. Wang, Quantum battery based on dipole-dipole interaction and external driving field, Phys. Rev. E107, 054125 (2023)

  127. [135]

    Pokhrel and J

    S. Pokhrel and J. Gea-Banacloche, Large collective power enhancement in dissipative charging of a quan- tum battery, Phys. Rev. Lett.134, 130401 (2025)

  128. [136]

    Yang, F.-M

    D.-L. Yang, F.-M. Yang, and F.-Q. Dou, Three-level dicke quantum battery, Phys. Rev. B109, 235432 (2024)

  129. [137]

    Yang, H.-L

    H.-Y. Yang, H.-L. Shi, Q.-K. Wan, K. Zhang, X.-H. Wang, and W.-L. Yang, Optimal energy storage in the tavis-cummings quantum battery, Phys. Rev. A109, 012204 (2024)

  130. [138]

    Canzio, V

    A. Canzio, V. Cavina, M. Polini, and V. Giovannetti, Single-atom dissipation and dephasing in dicke and tavis-cummings quantum batteries, Phys. Rev. A111, 022222 (2025)

  131. [139]

    Ferraro, M

    D. Ferraro, M. Campisi, G. Marcello Andolina, V. Pel- legrini, M. Polini, and B. Sp, Quantum resources for energy storage, EPJ Web of Conferences230, 00003 (2020)

  132. [140]

    J. Dias, H. Wang, K. Nemoto, F. Nori, and W. J. Munro, Efficient charging of multiple open quantum batteries through dissipation and pumping, Phys. Rev. A113, 012617 (2026)

  133. [141]

    Y.-x. Han, Z. Pan, and H.-r. Li, Subwavelength quan- tum battery based on an atomic ring array coupled with an incoherently driven atom, Phys. Rev. A111, 032221 (2025)

  134. [142]

    A. E. Allahverdyan, R. Balian, and T. M. Nieuwen- huizen, Maximal work extraction from finite quantum systems, Europhysics Letters67, 565 (2004)

  135. [143]

    Lobejko, Work and Fluctuations: Coherent vs

    M. Lobejko, Work and Fluctuations: Coherent vs. Inco- herent Ergotropy Extraction, Quantum6, 762 (2022)

  136. [144]

    Breuer and F

    H.-P. Breuer and F. Petruccione,The Theory of Open Quantum Systems(Oxford University Press, 2002)

  137. [145]

    S. Milz, F. A. Pollock, and K. Modi, An Introduction to Operational Quantum Dynamics, Open Systems and Information Dynamics24(2017)

  138. [146]

    Campaioli, J

    F. Campaioli, J. H. Cole, and H. Hapuarachchi, Quan- tum Master Equations: Tips and Tricks for Quantum Optics, Quantum Computing, and Beyond, PRX Quan- tum5, 020202 (2024)

  139. [147]

    B. W. Shore and P. L. Knight, The jaynes-cummings model, Journal of Modern Optics40, 1195 (1993)

  140. [148]

    C. Zhu, L. Dong, and H. Pu, Effects of spin-orbit cou- pling on jaynes-cummings and tavis-cummings models, Phys. Rev. A94, 053621 (2016)

  141. [149]

    Larson and T

    J. Larson and T. Mavrogordatos,The Jaynes–Cummings Model and Its Descendants, 2053-2563 (IOP Publishing, 2021)

  142. [150]

    Shammah, S

    N. Shammah, S. Ahmed, N. Lambert, S. De Liberato, and F. Nori, Open quantum systems with local and col- lective incoherent processes: Efficient numerical simula- tions using permutational invariance, Phys. Rev. A98, 063815 (2018)

  143. [151]

    Lambert, E

    N. Lambert, E. Gigu` ere, P. Menczel, B. Li, P. Hopf, G. Su´ arez, M. Gali, J. Lishman, R. Gadhvi, R. Agarwal, A. Galicia, N. Shammah, P. D. Nation, J. R. Johansson, S. Ahmed, S. Cross, A. Pitchford, and F. Nori, QuTiP 5: The quantum toolbox in Python, Physics Reports 1153, 1 (2026)

  144. [152]

    K. J. Kusmierek, S. Mahmoodian, M. Cordier, J. Hin- ney, A. Rauschenbeutel, M. Schemmer, P. Schneeweiss, J. Volz, and K. Hammerer, Higher-order mean-field the- ory of chiral waveguide QED, SciPost Phys. Core6, 041 (2023)

  145. [153]

    Kirton, M

    P. Kirton, M. M. Roses, J. Keeling, and E. G. Dalla Torre, Introduction to the Dicke model: From equilibrium to nonequilibrium, and vice versa, Ad- vanced Quantum Technologies2, 1800043 (2019)

  146. [154]

    Carollo and I

    F. Carollo and I. Lesanovsky, Exactness of mean-field equations for open dicke models with an application to pattern retrieval dynamics, Phys. Rev. Lett.126, 230601 (2021)

  147. [155]

    Carollo and I

    F. Carollo and I. Lesanovsky, Applicability of mean- field theory for time-dependent open quantum systems with infinite-range interactions, Physical Review Letters 133, 150401 (2024)

  148. [156]

    J. Jin, A. Biella, O. Viyuela, L. Mazza, J. Keeling, R. Fazio, and D. Rossini, Cluster mean-field approach to the steady-state phase diagram of dissipative spin systems, Phys. Rev. X6, 031011 (2016)

  149. [157]

    Minganti, A

    F. Minganti, A. Biella, N. Bartolo, and C. Ciuti, Spec- 24 tral theory of Liouvillians for dissipative phase transi- tions, Phys. Rev. A98, 042118 (2018)

  150. [158]

    Casteels, R

    W. Casteels, R. Fazio, and C. Ciuti, Critical dynamical properties of a first-order dissipative phase transition, Phys. Rev. A95, 012128 (2017)

  151. [159]

    Boneberg, I

    M. Boneberg, I. Lesanovsky, and F. Carollo, Quantum fluctuations and correlations in open quantum Dicke models, Phys. Rev. A106, 012212 (2022)

  152. [160]

    Plankensteiner, C

    D. Plankensteiner, C. Hotter, and H. Ritsch, Quantum- Cumulants.jl: A Julia framework for generalized mean- field equations in open quantum systems, Quantum6, 617 (2022)

  153. [161]

    Kirton and J

    P. Kirton and J. Keeling, Superradiant and lasing states in driven-dissipative Dicke models, New Journal of Physics20, 015009 (2018)

  154. [162]

    Kirton and J

    P. Kirton and J. Keeling, Suppressing and restoring the Dicke superradiance transition by dephasing and decay, Physical Review Letters118, 123602 (2017)

  155. [163]

    Montangero,Introduction to Tensor Network Meth- ods: Numerical simulations of low-dimensional many- body quantum systems(Springer, 2018)

    S. Montangero,Introduction to Tensor Network Meth- ods: Numerical simulations of low-dimensional many- body quantum systems(Springer, 2018)

  156. [164]

    Fishman, S

    M. Fishman, S. R. White, and E. M. Stoudenmire, The ITensor software library for tensor network calculations, SciPost Physics Codebases , 4 (2022)

  157. [165]

    Ballarin, G

    M. Ballarin, G. Cataldi, A. Costantini, D. Jaschke, G. Magnifico, S. Montangero, S. Notarnicola, A. Pagano, L. Pavesic, M. Rigobello, N. Reini´ c, S. Scarlatella, and P. Silvi, Quantum TEA: qtealeaves (2024)

  158. [166]

    Strathearn, P

    A. Strathearn, P. Kirton, D. Kilda, J. Keeling, and B. W. Lovett, Efficient non-Markovian quantum dy- namics using time-evolving matrix product operators, Nature Communications9, 3322 (2018)

  159. [167]

    M. R. Jørgensen and F. A. Pollock, Exploiting the causal tensor network structure of quantum processes to efficiently simulate non-Markovian path integrals, Phys- ical Review Letters123, 240602 (2019)

  160. [168]

    G. E. Fux, P. Fowler-Wright, J. Beckles, E. P. But- ler, P. R. Eastham, D. Gribben, J. Keeling, D. Kilda, P. Kirton, E. D. C. Lawrence, B. W. Lovett, E. O’Neill, A. Strathearn, and R. de Wit, OQuPy: A Python pack- age to efficiently simulate non-Markovian open quantum systems ...

  161. [169]

    N. M. Bogolyubov, Algebraic Bethe anzatz and the tavis-cummings model, Journal of Mathematical Sci- ences100, 2051 (2000)

  162. [170]

    Braak, Integrability of the rabi model, Phys

    D. Braak, Integrability of the rabi model, Phys. Rev. Lett.107, 100401 (2011)

  163. [171]

    Kn¨ oll, S

    L. Kn¨ oll, S. Scheel, and D.-G. Welsch, Qed in dispers- ing and absorbing media, inCoherence and Statistics of Photons and Atoms, edited by J. Peˇ rina (Wiley, New York, 2001) pp. 1–64, arXiv:quant-ph/0006121

  164. [172]

    Scheel and S

    S. Scheel and S. Y. Buhmann, Macroscopic quan- tum electrodynamics: Concepts and applications, Acta Phys. Slov.58, 675 (2008), arXiv:0902.3586

  165. [173]

    S. Y. Buhmann,Dispersion Forces I: Macroscopic Quantum Electrodynamics and Ground-State Casimir, Casimir–Polder and van der Waals Forces, Springer Tracts in Modern Physics, Vol. 247 (Springer, Berlin, 2012)

  166. [174]

    Novotny and B

    L. Novotny and B. Hecht,Principles of Nano-Optics, 2nd ed. (Cambridge University Press, Cambridge, 2012)

  167. [175]

    T¨ orm¨ a and W

    P. T¨ orm¨ a and W. L. Barnes, Strong coupling between surface plasmon polaritons and emitters: a review, Rep. Prog. Phys.78, 013901 (2015), arXiv:1405.1661

  168. [176]

    X.-W. Chen, V. Sandoghdar, and M. Agio, Coherent interaction of light with a metallic structure coupled to a single quantum emitter: From superabsorption to cloaking, Phys. Rev. Lett.110, 153605 (2013)

  169. [177]

    R. W. Crisp, J. N. Schrauben, M. C. Beard, J. M. Luther, and J. C. Johnson, Coherent exciton delocal- ization in strongly coupled quantum dot arrays, Nano Letters13, 4862 (2013)

  170. [178]

    A. A. Svidzinsky, L. Yuan, and M. O. Scully, Quan- tum amplification by superradiant emission of radiation, Phys. Rev. X3, 041001 (2013)

  171. [179]

    Aberra Guebrou, C

    S. Aberra Guebrou, C. Symonds, E. Homeyer, J. C. Plenet, Y. N. Gartstein, V. M. Agranovich, and J. Bel- lessa, Coherent emission from a disordered organic semi- conductor induced by strong coupling with surface plas- mons, Phys. Rev. Lett.108, 066401 (2012)

  172. [180]

    B. M. Garraway, The dicke model in quantum optics: Dicke model revisited, Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineer- ing Sciences369, 1137 (2011)

  173. [181]

    Prasad and R

    S. Prasad and R. J. Glauber, Coherent radiation by a spherical medium of resonant atoms, Phys. Rev. A82, 063805 (2010)

  174. [182]

    V. V. Temnov and U. Woggon, Superradiance and sub- radiance in an inhomogeneously broadened ensemble of two-level systems coupled to a low-qcavity, Phys. Rev. Lett.95, 243602 (2005)

  175. [183]

    Prasad and R

    S. Prasad and R. J. Glauber, Polarium model: Coher- ent radiation by a resonant medium, Phys. Rev. A61, 063814 (2000)

  176. [184]

    Mukherjee, J

    A. Mukherjee, J. Feist, and K. B¨ orjesson, Quantitative Investigation of the Rate of Intersystem Crossing in the Strong Exciton–Photon Coupling Regime, Journal of the American Chemical Society145, 5155 (2023)

  177. [185]

    Stranius, M

    K. Stranius, M. Hertzog, and K. B¨ orjesson, Selective manipulation of electronically excited states through strong light–matter interactions, Nature Communica- tions9, 2273 (2018), type: Journal Article

  178. [186]

    Eizner, L

    E. Eizner, L. A. Mart ´ ınez-Mart ´ ınez, J. Yuen-Zhou, and S. K´ ena-Cohen, Inverting singlet and triplet excited states using strong light-matter coupling, Science Ad- vances5, eaax4482 (2019), type: Journal Article

  179. [187]

    Y. Yu, S. Mallick, M. Wang, and K. B¨ orjesson, Barrier- free reverse-intersystem crossing in organic molecules by strong light-matter coupling, Nature Communications 12, 3255 (2021), type: Journal Article

  180. [188]

    Eizner, J

    E. Eizner, J. Brodeur, F. Barachati, A. Sridharan, and S. K´ ena-Cohen, Organic Photodiodes with an Extended Responsivity Using Ultrastrong Light–Matter Coupling, ACS Photonics5, 2921 (2018)

  181. [189]

    G. J. Dutton, W. Jin, J. E. Reutt-Robey, and S. W. Robey, Ultrafast charge-transfer processes at an ori- ented phthalocyanine C 60 interface, Physical Review B 82, 073407 (2010)

  182. [190]

    B. W. Caplins, T. K. Mullenbach, R. J. Holmes, and D. A. Blank, Femtosecond to nanosecond excited state dynamics of vapor deposited copper phthalocyanine thin films, Physical Chemistry Chemical Physics18, 11454 (2016)

  183. [191]

    McVie, R

    J. McVie, R. S. Sinclair, and T. George Truscott, Triplet states of copper and metal-free phthalocyanines, Jour- 25 nal of the Chemical Society, Faraday Transactions 2: Molecular and Chemical Physics74, 1870 (1978)

  184. [192]

    Gouterman, Spectra of porphyrins, Journal of Molec- ular Spectroscopy6, 138 (1961)

    M. Gouterman, Spectra of porphyrins, Journal of Molec- ular Spectroscopy6, 138 (1961)

  185. [193]

    Mukherjee and P

    S. Mukherjee and P. Thilagar, Recent advances in purely organic phosphorescent materials, Chemical Communications51, 10988 (2015)

  186. [194]

    G. Ma, L. Guo, J. Mi, Y. Liu, S. Qian, D. Pan, and Y. Huang, Femtosecond nonlinear optical response of metallophthalocyanine films, Solid State Communica- tions118, 633 (2001)

  187. [195]

    Asano-Someda and Y

    M. Asano-Someda and Y. Kaizu, Highly Efficient Triplet-Triplet Intramolecular Energy Transfer and En- hanced Intersystem Crossing in Rigidly Linked Cop- per(II) Porphyrin-Free Base Porphyrin Hybrid Dimers, Inorganic Chemistry38, 2303 (1999)

  188. [196]

    M. G. Cory and M. C. Zerner, Metal-ligand exchange coupling in transition-metal complexes, Chemical Re- views91, 813 (1991)

  189. [197]

    Bruder, J

    I. Bruder, J. Sch¨ oneboom, R. Dinnebier, A. Ojala, S. Sch¨ afer, R. Sens, P. Erk, and J. Weis, What deter- mines the performance of metal phthalocyanines (MPc, M = Zn, Cu, Ni, Fe) in organic heterojunction solar cells? A combined experimental and theoretical inves- tigation, ...

  190. [198]

    G. J. Dutton and S. W. Robey, Exciton Dynamics at CuPc/C60 Interfaces: Energy Dependence of Exciton Dissociation, The Journal of Physical Chemistry C116, 19173 (2012)

  191. [199]

    Sternlicht, G

    H. Sternlicht, G. C. Nieman, and G. W. Robinson, Triplet—Triplet Annihilation and Delayed Fluorescence in Molecular Aggregates, The Journal of Chemical Physics38, 1326 (1963)

  192. [200]

    P. W. Atkins and G. T. Evans, Magnetic field effects on chemiluminescent fluid solutions, Molecular Physics29, 921 (1975)

  193. [201]

    Forecast, F

    R. Forecast, F. Campaioli, and J. H. Cole, Magnetic field effects in triplet–triplet annihilation upconversion: Revisiting atkins and evans’ theory, Journal of Chemical Theory and Computation19, 7816 (2023)

  194. [202]

    Zhong, T

    X. Zhong, T. Chervy, L. Zhang, A. Thomas, J. George, C. Genet, J. A. Hutchison, and T. W. Ebbesen, En- ergy Transfer between Spatially Separated Entangled Molecules, Angewandte Chemie International Edition 56, 9034 (2017)

  195. [203]

    W.-L. Chan, T. C. Berkelbach, M. R. Provorse, N. R. Monahan, J. R. Tritsch, M. S. Hybertsen, D. R. Re- ichman, J. Gao, and X.-Y. Zhu, The quantum coherent mechanism for singlet fission: Experiment and theory, Accounts of Chemical Research46, 1321 (2013)

  196. [204]

    Shockley and H

    W. Shockley and H. J. Queisser, Detailed Balance Limit of Efficiency of p-n Junction Solar Cells, Journal of Ap- plied Physics32, 510 (1961)

  197. [205]

    M. C. Hanna and A. J. Nozik, Solar conversion efficiency of photovoltaic and photoelectrolysis cells with carrier multiplication absorbers, Journal of Applied Physics 100, 074510 (2006)

  198. [206]

    O. E. Semonin, J. M. Luther, S. Choi, H.-Y. Chen, J. Gao, A. J. Nozik, and M. C. Beard, Peak external photocurrent quantum efficiency exceeding 100% via MEG in a quantum dot solar cell, Science334, 1530 (2011)

  199. [207]

    D. N. Congreve, J. Lee, N. J. Thompson, E. Hontz, S. R. Yost, P. D. Reusswig, M. E. Bahlke, S. Reineke, T. Van Voorhis, and M. A. Baldo, External quantum efficiency above 100% in a singlet-exciton-fission–based organic photovoltaic cell, Science340, 334 (2013)

  200. [208]

    Einzinger, T

    M. Einzinger, T. Wu, J. F. Kompalla, H. L. Smith, C. F. Perkinson, L. Nienhaus, S. Wieghold, D. N. Congreve, A. Kahn, M. G. Bawendi, and M. A. Baldo, Sensiti- zation of silicon by singlet exciton fission in tetracene, Nature571, 90 (2019)

  201. [209]

    R. W. MacQueen, M. Liebhaber, J. Niederhausen, M. Mews, C. Gersmann, S. J¨ ackle, K. J¨ ager, M. J. Y. Tayebjee, T. W. Schmidt, B. Rech, and K. Lips, Crys- talline silicon solar cells with tetracene interlayers: the path to silicon-singlet fission heterojunction devices, Mater...

  202. [210]

    D. D. B. Rao, S. Yang, and J. Wrachtrup, Dissipative entanglement of solid-state spins in diamond, Physical Review A95, 022310 (2017)

  203. [211]

    Casillas, I

    R. Casillas, I. Papadopoulos, T. Ullrich, D. Thiel, A. Kunzmann, and D. M. Guldi, Molecular insights and concepts to engineer singlet fission energy conversion de- vices, Energy & Environmental Science13, 2741 (2020)

  204. [212]

    E. M. Gholizadeh, S. K. K. Prasad, Z. L. Teh, T. Ish- wara, S. Norman, A. J. Petty, J. H. Cole, S. Cheong, R. D. Tilley, J. E. Anthony, S. Huang, and T. W. Schmidt, Photochemical upconversion of near-infrared light from below the silicon bandgap, Nature Photonics 14, 585 (2020)

  205. [213]

    G. D. Scholes, Correlated pair states formed by singlet fission and exciton-exciton annihilation, The Journal of Physical Chemistry A119, 12699 (2015)

  206. [214]

    L. R. Weiss, S. L. Bayliss, F. Kraffert, K. J. Thor- ley, J. E. Anthony, R. Bittl, R. H. Friend, A. Rao, N. C. Greenham, and J. Behrends, Strongly exchange- coupled triplet pairs in an organic semiconductor, Na- ture Physics13, 176 (2017)

  207. [215]

    S. L. Bayliss, L. R. Weiss, A. Mitioglu, K. Galkowski, Z. Yang, K. Yunusova, A. Surrente, K. J. Thorley, J. Behrends, R. Bittl, J. E. Anthony, A. Rao, R. H. Friend, P. Plochocka, P. C. M. Christianen, N. C. Green- ham, and A. D. Chepelianskii, Site-selective measure- ment of c...

  208. [216]

    R. D. Dill, K. E. Smyser, B. K. Rugg, N. H. Damrauer, and J. D. Eaves, Entangled spin-polarized excitons from singlet fission in a rigid dimer, Nature Communications 14, 1180 (2023)

  209. [217]

    C. J. Bardeen, Time dependent correlations of entan- gled states with nondegenerate branches and possible experimental realization using singlet fission, Journal of Chemical Physics151, 10.1063/1.5117155 (2019)

  210. [218]

    Schnedermann, A

    C. Schnedermann, A. M. Alvertis, T. Wende, S. Luk- man, J. Feng, F. A. Schr¨ oder, D. H. Turban, J. Wu, N. D. Hine, N. C. Greenham, A. W. Chin, A. Rao, P. Kukura, and A. J. Musser, A molecular movie of ul- trafast singlet fission, Nature Communications10, 4207 (2019)

  211. [219]

    A. M. Alvertis, S. Lukman, T. J. Hele, E. G. Fuem- meler, J. Feng, J. Wu, N. C. Greenham, A. W. Chin, and A. J. Musser, Switching between Coherent and In- coherent Singlet Fission via Solvent-Induced Symmetry Breaking, Journal of the American Chemical Society 141, 17558 (2019)

  212. [220]

    Tabachnyk, B

    M. Tabachnyk, B. Ehrler, S. G´ elinas, M. L. B¨ ohm, 26 B. J. Walker, K. P. Musselman, N. C. Greenham, R. H. Friend, and A. Rao, Resonant energy transfer of triplet excitons from pentacene to pbse nanocrystals, Nature Materials13, 1033 (2014)

  213. [221]

    J. R. Allardice, A. Thampi, S. Dowland, J. Xiao, V. Gray, Z. Zhang, P. Budden, A. J. Petty, N. J. L. K. Davis, N. C. Greenham, J. E. Anthony, and A. Rao, Engineering molecular ligand shells on quantum dots for quantitative harvesting of triplet excitons generated by singlet fi...

  214. [222]

    N. J. L. K. Davis, J. R. Allardice, J. Xiao, A. J. Petty, N. C. Greenham, J. E. Anthony, and A. Rao, Singlet fission and triplet transfer to pbs quantum dots in tips- tetracene carboxylic acid ligands, The Journal of Phys- ical Chemistry Letters9, 1454 (2018)

  215. [223]

    A. J. Baldacchino, M. I. Collins, M. P. Nielsen, T. W. Schmidt, D. R. McCamey, and M. J. Y. Tayebjee, Sin- glet fission photovoltaics: Progress and promising path- ways, Chemical Physics Reviews3, 021304 (2022)

  216. [224]

    M. A. Baldo, N. J. Ekins-Daukes, J. Y. Jiang, P. M. Pearce, T. W. Schmidt, and M. J. Y. Tayebjee, Singlet fission provides a scalable pathway to high efficiency sili- con photovoltaics, ACS Energy Letters10, 4830 (2025)

  217. [225]

    A. J. Baldacchino, M. W. Brett, B. P. Carwithen, S. Mc- Nab, J. Tong, V. Y. Zhang, N. L. Chang, A. Ciesla, D. M. de Clercq, S. S. Capomolla, M. I. Collins, J. Y. Jiang, M. F. M. Kavungathodi, A. Mo, P. M. Pearce, B. Hoex, D. R. McCamey, M. P. Nielsen, J. E. Beves, N. J. Ekins-...

  218. [226]

    S. L. Bayliss, L. R. Weiss, A. Rao, R. H. Friend, A. D. Chepelianskii, and N. C. Greenham, Spin signatures of exchange-coupled triplet pairs formed by singlet fission, Physical Review B94, 045204 (2016)

  219. [227]

    R. E. Merrifield, Magnetic effects on triplet exciton in- teractions, Pure and Applied Chemistry27, 481 (1971)

  220. [228]

    A. A. Bakulin, S. E. Morgan, T. B. Kehoe, M. W. B. Wilson, A. W. Chin, D. Zigmantas, D. Egorova, and A. Rao, Real-time observation of multiexcitonic states in ultrafast singlet fission using coherent 2d electronic spectroscopy, Nature Chemistry8, 16 (2016)

  221. [229]

    Manian, F

    A. Manian, F. Campaioli, R. J. Hudson, J. H. Cole, T. W. Schmidt, I. Lyskov, T. A. Smith, and S. P. Russo, Charge transfer-mediated multi-exciton mechanisms in weakly coupled perylene dimers, Chemistry of Materials 35, 6889 (2023)

  222. [230]

    P. E. Teichen and J. D. Eaves, Collective aspects of sin- glet fission in molecular crystals, The Journal of Chem- ical Physics143, 044118 (2015)

  223. [231]

    L. Ma, K. Zhang, C. Kloc, H. Sun, M. E. Michel-Beyerle, and G. G. Gurzadyan, Singlet fission in rubrene single crystal: direct observation by femtosecond pump–probe spectroscopy, Physical Chemistry Chemical Physics14, 8307 (2012)

  224. [232]

    N. B. Taylor and I. Kassal, Generalised Marcus theory for multi-molecular delocalised charge transfer, Chemi- cal Science9, 2942 (2018)

  225. [233]

    Kushwaha and I

    A. Kushwaha and I. Kassal, Engineering quantum- enhanced transport by supertransfer, arXiv:2506.05045 (2025)

  226. [234]

    S. S. Lo, T. Mirkovic, C.-H. Chuang, C. Burda, and G. D. Scholes, Emergent properties resulting from type- ii band alignment in semiconductor nanoheterostruc- tures, Adv Mater23, 180 (2011)

  227. [235]

    Fukuzumi, H

    S. Fukuzumi, H. Kotani, K. Ohkubo, S. Ogo, N. V. Tkachenko, and H. Lemmetyinen, Electron-transfer state of 9-mesityl-10-methylacridinium ion with a much longer lifetime and higher energy than that of the natu- ral photosynthetic reaction center, Journal of the Amer- ican Chemi...

  228. [236]

    Yamanaka, H

    T. Yamanaka, H. Nakanotani, and C. Adachi, Electron lifetime of over one month in disordered organic solid- state films, Advanced Materials35, 2210335 (2023)

Pith tools

Reviewed August 1, 2026 · model on record in the stance chip above.