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arxiv: 2604.08151 · v1 · submitted 2026-04-09 · 🪐 quant-ph · cond-mat.mes-hall

Recognition: unknown

Charging Quantum Batteries via Dissipative Quenches

Riccardo Grazi , Donato Farina , Niccol\`o Traverso Ziani , Dario Ferraro
Authors on Pith no claims yet

Pith reviewed 2026-05-10 16:54 UTC · model grok-4.3

classification 🪐 quant-ph cond-mat.mes-hall
keywords quantum batteriesergotropydissipative dynamicsspin chainsMpemba effectdark statesdephasing
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The pith

Purely dissipative dynamics generate finite ergotropy from passive thermal states in XX spin-chain batteries.

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

The paper studies work extraction in small open quantum batteries consisting of two- and four-qubit XX spin chains prepared in thermal Gibbs states. It shows that dissipation alone, without any coherent driving, can create extractable work (ergotropy) from states that start completely passive. The effect appears in temperature-dependent transients where hotter initial states temporarily outperform colder ones, and in steady states whose passivity depends on system size when the noise is collective. Dephasing environments eliminate the advantage. A reader should care because the result points to a way of charging quantum batteries using only engineered environmental coupling rather than external control fields.

Core claim

Purely dissipative dynamics activate finite ergotropy from completely passive thermal states, giving rise to temperature-dependent transient regimes where hotter initial states temporarily outperform colder ones in an ergotropic Mpemba-like fashion; collective dissipation produces steady states whose passivity depends on initial temperature and system size due to non-trivial dark subspaces.

What carries the argument

Continuous interpolation between parallel (local) and collective dissipative channels weakly coupled to the XX Hamiltonian.

If this is right

  • Finite ergotropy appears during transients even when the initial thermal state has zero ergotropy.
  • Hotter initial temperatures produce higher transient ergotropy under intermediate noise interpolation.
  • Collective dissipation yields non-passive steady states whose ergotropy grows with system size.
  • Dephasing channels remove both the transient advantage and any steady-state work extraction.

Where Pith is reading between the lines

These are editorial extensions of the paper, not claims the author makes directly.

  • Engineered baths could charge quantum batteries without coherent control pulses.
  • The dark subspaces identified here may protect steady-state coherence for quantum information tasks.
  • Similar Mpemba-like transients might appear in larger spin networks or different interaction Hamiltonians.
  • The interpolation parameter offers a tunable knob for experimental tests in superconducting circuits.

Load-bearing premise

The spin chains remain weakly coupled to environments whose noise can be tuned continuously between local and collective forms, and the initial states are thermal Gibbs states.

What would settle it

Observation that the steady-state ergotropy under collective dissipation is independent of initial temperature or system size, or that hotter thermal states never transiently exceed colder ones in ergotropy.

Figures

Figures reproduced from arXiv: 2604.08151 by Dario Ferraro, Donato Farina, Niccol\`o Traverso Ziani, Riccardo Grazi.

Figure 1
Figure 1. Figure 1: Scheme of the considered dissipative quench [PITH_FULL_IMAGE:figures/full_fig_p003_1.png] view at source ↗
Figure 2
Figure 2. Figure 2: Ergotropy E of the two-qubit system as func￾tion of time and in presence of two parallel dissipative channels for h = 0.1, γ = 0.05 and initial state’s temper￾ature β = 0.2 (blue), β = 0.5 (orange), β = 1 (green), β = 2 (red) and β = 5 (purple). Local dissipation acti￾vates ergotropy in the transient regime at different times tc given by Eq. (17), while all temperatures asymptoti￾cally converge to the same… view at source ↗
Figure 3
Figure 3. Figure 3: Ergotropy E of the two-qubit system as func￾tion of time in presence of a collective dissipative chan￾nel for h = 0.1, γ = 0.05 and initial state’s temperature β = 0.2 (blue), β = 0.3 (orange), β = 0.4 (green), β = 0.5 (red), β = 1 (purple), β = 2 (brown) and β = 5 (pink). Collective dissipation leads to a temperature-dependent steady state, with a critical inverse temperature separat￾ing passive and non-p… view at source ↗
Figure 4
Figure 4. Figure 4: Phase diagram of the system’s steady state. [PITH_FULL_IMAGE:figures/full_fig_p005_4.png] view at source ↗
Figure 6
Figure 6. Figure 6: (a) Ergotropy E of the four-qubit system as function of time in presence of a collective dissipa￾tive channel for h = 0.1, γ = 0.05 and initial state’s temperature β = 0.2 (blue curve), β = 0.5 (orange curve), β = 1 (green curve), β = 2 (red curve) and β = 5 (purple curve). (b) Ergotropy difference ∆E(t) = Eβ(t)− Eβ=5.0(t) with respect to the reference case β = 5 as function of time for β = 0.2 (blue curve… view at source ↗
Figure 7
Figure 7. Figure 7: Plot of pdark as function of the inverse temper￾ature β of the system’s initial thermal state for h = 0.1 and γ = 0.05. Colder Gibbs states show a greater over￾lap with the dark subspace, explaining the temperature dependence of the steady-state ergotropy. IV. RESULTS ON DEPHASING CHANNEL We now focus on the full dephasing scenario, obtained by fixing α = 1 in Eq. (15). Starting from the parallel case α (z… view at source ↗
Figure 8
Figure 8. Figure 8: Ergotropy E of the two-qubit (a) and the four￾qubit (b) system as function of time in presence of par￾allel dephasing channels for h = 0.1, γ = 0.05 and initial state’s temperature β = 0.2 (blue curve), β = 0.5 (or￾ange curve), β = 1 (green curve), β = 2 (red curve) and β = 5 (purple curve). Pure dephasing suppresses temper￾ature crossings and leaves the coldest initial state with the largest ergotropy at … view at source ↗
Figure 9
Figure 9. Figure 9: Comparison between the full 4x4 Jaynes￾Cummings evolution with cavity dissipation (solid lines) and the effective 2x2 atomic master equation (dashed lines) for k/g = 1 (blue curve), k/g = 5 (green curve), k/g = 10 (purple curve), k/g = 20 (red curve), k/g = 50 (orange curve) and k/g = 100 (cyan curve). The effec￾tive Lindblad description reproduces the full lossy-cavity dynamics in the large-loss limit. Ap… view at source ↗
Figure 11
Figure 11. Figure 11: Ergotropy E of the system’s steady state as function of α (z) and β for h = 0.1, γ = 0.05 and t = 800 for (a) N = 2 qubits and (b) N = 4 qubits. In this sce￾nario, changing the collectivity of the dephasing channel has only a minor effect on the steady-state ergotropy un￾til α (z) ≃ 1. 3. Channels interpolation We finally fix both α (−) and α (z) to either 0 (fully parallel) or 1 (fully collective) and we… view at source ↗
Figure 12
Figure 12. Figure 12: Ergotropy E as function of time for α = 0 (blue curve), α = 0.3 (orange curve), α = 0.5 (green curve), α = 0.7 (red curve), α = 0.9 (purple curve) and α = 1 (brown curve) for (a) α (−) = α (z) = 0 and β = 0.2; (b) α (−) = α (z) = 0 and β = 5; (c) α (−) = α (z) = 1 and β = 0.2. It can be observed that dephasing mainly slows down the dynamics without changing the final steady-state ergotropy, with the excep… view at source ↗
Figure 13
Figure 13. Figure 13: (a) Ergotropy as function of time for an ini [PITH_FULL_IMAGE:figures/full_fig_p012_13.png] view at source ↗
read the original abstract

We investigate work extraction in open quantum batteries composed of interacting spin chains weakly coupled to engineered environments. Focusing on two- and four-qubit XX models initially prepared in thermal Gibbs states, we analyze how dissipation and dephasing, acting either locally or collectively, can generate and shape ergotropy during both transient and steady-state dynamics. By introducing a continuous interpolation between parallel and collective noise channels, we systematically characterize the impact of environmental structure on work extractability. We show that purely dissipative dynamics can activate finite ergotropy from completely passive thermal states, giving rise to temperature-dependent transient regimes where hotter initial states temporarily outperform colder ones in an ergotropic Mpemba-like fashion. In contrast, collective dissipation leads to steady states whose passivity crucially depends on the initial temperature and system size, a behavior we trace back to the emergence of non-trivial dark subspaces. Finally, we demonstrate that dephasing channels suppress both transient advantages and steady-state work extraction, highlighting the qualitative difference between dissipative and dephasing environments.

Editorial analysis

A structured set of objections, weighed in public.

Desk editor's note, referee report, simulated authors' rebuttal, and a circularity audit. Tearing a paper down is the easy half of reading it; the pith above is the substance, this is the friction.

Referee Report

2 major / 3 minor

Summary. The paper investigates work extraction from open quantum batteries consisting of two- and four-qubit XX spin chains prepared in thermal Gibbs states and weakly coupled to engineered environments. It shows that purely dissipative dynamics, via a continuous interpolation between parallel and collective noise channels, can generate finite ergotropy from initially passive states. This includes transient temperature-dependent regimes exhibiting an ergotropic Mpemba-like effect (hotter initial states temporarily outperforming colder ones) and, under collective dissipation, steady states whose passivity depends on initial temperature and system size due to non-trivial dark subspaces. Dephasing channels are shown to suppress both transient and steady-state advantages.

Significance. If the results hold, the work demonstrates a mechanism for charging quantum batteries using only dissipation without coherent driving, while identifying an ergotropic analog of the Mpemba effect and clarifying the role of dark subspaces in collective environments. The systematic channel interpolation and focus on small spin chains provide concrete, testable predictions for quantum thermodynamics and could guide experimental implementations in platforms such as trapped ions or superconducting qubits.

major comments (2)
  1. [§3] §3 (transient dynamics): The Mpemba-like inversion is reported for specific temperature pairs, but the manuscript does not quantify the sensitivity of the crossover time to the interpolation parameter λ between parallel and collective channels; a small variation in λ could shift or eliminate the effect, which is central to the claim of environmental-structure control.
  2. [§4] §4 (steady-state analysis): The dependence of steady-state passivity on initial temperature for the four-qubit case is attributed to dark subspaces, yet no explicit projector or eigenvalue spectrum of the steady-state density matrix is provided; without this, it is difficult to confirm that the passivity is not an artifact of the weak-coupling or secular approximations used in the Lindblad derivation.
minor comments (3)
  1. The abstract and introduction use the term 'ergotropic Mpemba-like fashion' without a brief definition or reference to the standard Mpemba effect in the first paragraph; adding one sentence would improve accessibility.
  2. Figure captions for the ergotropy-vs-time plots should explicitly state the values of the interpolation parameter λ, the coupling strength γ, and the temperature range T used in each panel.
  3. [§2] The Lindblad operators for the interpolated channels are defined in §2, but the normalization condition ensuring trace preservation for all λ is not written explicitly; including it would remove ambiguity.

Simulated Author's Rebuttal

2 responses · 0 unresolved

We thank the referee for the positive evaluation and the recommendation for minor revision. The comments are constructive and help strengthen the presentation of our results on dissipative charging of quantum batteries. We address each major comment below.

read point-by-point responses

  1. Referee: [§3] §3 (transient dynamics): The Mpemba-like inversion is reported for specific temperature pairs, but the manuscript does not quantify the sensitivity of the crossover time to the interpolation parameter λ between parallel and collective channels; a small variation in λ could shift or eliminate the effect, which is central to the claim of environmental-structure control.

    Authors: We agree that quantifying the dependence of the crossover time on λ would better support the claim of environmental-structure control. In the revised manuscript we will add a new panel (or supplementary figure) in Section 3 that plots the crossover time versus λ for the temperature pairs already considered. This will explicitly show the range of λ over which the ergotropic Mpemba-like inversion persists, thereby addressing the sensitivity concern without altering the main conclusions. revision: yes

  2. Referee: [§4] §4 (steady-state analysis): The dependence of steady-state passivity on initial temperature for the four-qubit case is attributed to dark subspaces, yet no explicit projector or eigenvalue spectrum of the steady-state density matrix is provided; without this, it is difficult to confirm that the passivity is not an artifact of the weak-coupling or secular approximations used in the Lindblad derivation.

    Authors: We thank the referee for this observation. To remove any ambiguity regarding the origin of the temperature-dependent passivity, the revised manuscript will include the explicit projector onto the dark subspace for the four-qubit collective channel, together with the eigenvalue spectrum of the steady-state density matrix for representative initial temperatures. These additions (placed in Section 4 and an appendix) will demonstrate that the non-trivial steady-state populations arise directly from the dark-subspace structure and are robust under the employed approximations. revision: yes

Circularity Check

0 steps flagged

No significant circularity; derivation self-contained in standard Lindblad dynamics

full rationale

The paper's claims rest on direct application of the Lindblad master equation to small XX spin chains initialized in thermal Gibbs states, with an interpolation between parallel and collective dissipators. No equations, parameters, or results are defined in terms of themselves or prior self-citations in a load-bearing way; ergotropy emergence and transient temperature inversion follow from the non-commuting structure of the jump operators and dark subspaces without any reduction to fitted inputs or renamed ansatze. The modeling uses standard open-quantum-system tools that are externally verifiable and independent of the target phenomena.

Axiom & Free-Parameter Ledger

0 free parameters · 2 axioms · 0 invented entities

The central claims rest on standard quantum mechanics and open-system theory rather than new postulates. No free parameters, invented entities, or ad-hoc axioms are introduced in the abstract.

axioms (2)
  • domain assumption Weak-coupling limit allowing a Markovian master equation description
    Implicit in the use of dissipative and dephasing channels acting on the spin chains.
  • domain assumption Initial states are thermal Gibbs states of the closed XX Hamiltonian
    Stated directly in the abstract as the starting point for all dynamics.

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Reference graph

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