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arxiv: 2604.20687 · v1 · submitted 2026-04-22 · ⚛️ physics.optics · cond-mat.mes-hall· nucl-ex· physics.atom-ph· quant-ph

Toward nanophotonic platforms for solid-state ²²⁹Th nuclear clocks

Sandro Kraemer , Karen Mamian , Toby Bi , Shun Fujii , Jan de Haan , Harshith Babu , Arno Claessens , Rafael Ferrer Garcia
show 13 more authors
Fedor Ivandikov Piet Van Duppen Andreas Dragoun Christoph E. D\"ullmann Christoph Marquardt Ulrich Wahl Bart Kuyken Thorsten Schumm Pascal Del'Haye Lino M. C. Pereira Georgy A. Kazakov Kasper Van Gasse Charles Roques-Carmes
This is my paper

Pith reviewed 2026-05-09 23:05 UTC · model grok-4.3

classification ⚛️ physics.optics cond-mat.mes-hallnucl-exphysics.atom-phquant-ph
keywords nanophotonicsthorium-229nuclear clockphotonic resonatorisomeric transitionsolid-state frequency standardwhispering-gallery modeoptical cavity enhancement
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The pith

Coupling thorium nuclei to nanophotonic cavities enhances nuclear excitation rates enough for practical solid-state clocks.

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

The paper proposes embedding thorium-229 nuclei inside high-quality fluoride crystal resonators to create compact nuclear clocks based on the low-energy isomeric transition. Light trapped in these confined optical modes produces a stronger electric field at the nuclei, which calculations indicate can increase the excitation rate by orders of magnitude. This enhancement would allow the nuclear transition to be driven with ordinary laser powers instead of extreme intensities that are currently impractical. The authors also sketch a fabrication and integration roadmap and report early tests in which thorium is implanted into a whispering-gallery-mode resonator.

Core claim

By coupling ensembles of thorium nuclei to confined optical modes in high-Q fluoride photonic resonators, resonant field build-up substantially enhances the nuclear excitation rate, enabling optical interrogation of the isomeric transition at practical laser intensities. The platform combines resonator fabrication, thorium implantation, integrated laser excitation, and on-chip vacuum-ultraviolet detection, with an initial experimental demonstration that implantation can be performed while monitoring effects on resonator performance.

What carries the argument

High-Q fluoride whispering-gallery-mode resonators that confine optical modes to produce resonant field enhancement at embedded 229Th nuclei.

Load-bearing premise

Thorium implantation into fluoride resonators preserves high enough quality factors and avoids quenching or inhomogeneous broadening that would eliminate the modeled cavity enhancement.

What would settle it

A direct comparison of measured nuclear excitation rate in an implanted resonator against the cavity-enhanced prediction, or a post-implantation measurement showing whether the resonator Q-factor drops below the threshold needed for useful enhancement.

read the original abstract

While the $^{229}$Th nuclear isomer has recently been observed and laser-excited, converting optical nuclear manipulation into a chip-scale solid-state frequency standard remains an open challenge. Here, we present a nanophotonic platform to realize an all-solid-state nuclear clock based on the low-energy isomeric transition of $^{229}$Th embedded in high-$Q$ fluoride photonic resonators. By coupling ensembles of thorium nuclei to confined optical modes, we show that resonant field build-up in the cavity can substantially enhance the nuclear excitation rate, enabling optical interrogation at practical laser intensities. We model the nuclei-photon interaction dynamics and outline a technological roadmap toward addressing this challenge, including resonator fabrication in fluoride crystals, thorium implantation, nuclear excitation with integrated lasers, and on-chip detection of vacuum-ultraviolet photons. As an initial proof of concept, we implant a crystalline fluoride whispering-gallery-mode resonator with $^{229}$Th and assess the impact of implantation-induced damage on resonator performance. Our platform leverages recent advances in materials integration and nanophotonics to chart a realistic route toward compact and scalable nuclear frequency standards.

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 / 2 minor

Summary. The manuscript proposes a nanophotonic platform for realizing a solid-state nuclear clock based on the 229Th isomeric transition, using high-Q fluoride photonic resonators to embed ensembles of thorium nuclei. It claims that resonant field build-up in the cavity substantially enhances the nuclear excitation rate, enabling optical interrogation at practical laser intensities. The work models the nuclei-photon interaction dynamics, outlines a technological roadmap covering resonator fabrication, thorium implantation, integrated laser excitation, and VUV photon detection, and reports an initial proof-of-concept implantation of 229Th into a crystalline fluoride whispering-gallery-mode resonator with assessment of implantation-induced damage.

Significance. If the cavity-enhanced excitation can be realized without prohibitive Q degradation or broadening, the platform would represent a significant step toward compact, chip-scale nuclear frequency standards by integrating nanophotonics with nuclear physics. The initial experimental implantation test provides a concrete starting point. Credit is given for explicitly outlining a multi-step technological roadmap and for performing the first reported implantation test in a high-Q fluoride resonator.

major comments (2)
  1. [Abstract and modeling of nuclei-photon interaction dynamics] Abstract and modeling description: The central claim that 'resonant field build-up in the cavity can substantially enhance the nuclear excitation rate' is asserted, yet the nuclei-photon dynamics modeling provides no equations, cavity parameters (Q, mode volume, coupling strength), detuning values, or quantitative predictions for the enhancement factor or required laser intensity. This is load-bearing for the proposal's feasibility claim.
  2. [Initial proof-of-concept implantation test] Implantation test section: The proof-of-concept reports implantation of 229Th into a whispering-gallery-mode resonator and assesses damage impact, but supplies no quantitative metrics on post-implantation Q-factor, resonance wavelength shift, or inhomogeneous broadening of the nuclear transition. Without these data, it is impossible to evaluate whether the modeled enhancement survives in real devices, directly addressing the skeptic concern about Q degradation and quenching.
minor comments (2)
  1. [Abstract] The abstract states 'we show that' the enhancement occurs, but the supporting modeling details are not presented with sufficient specificity for independent verification.
  2. [Technological roadmap] The technological roadmap is described at a high level; adding references to specific existing fabrication techniques or laser integration methods would improve clarity.

Simulated Author's Rebuttal

2 responses · 0 unresolved

We thank the referee for the careful review, positive assessment of significance, and constructive major comments. We address each point below and have revised the manuscript to provide the requested details and quantitative information.

read point-by-point responses

  1. Referee: [Abstract and modeling of nuclei-photon interaction dynamics] Abstract and modeling description: The central claim that 'resonant field build-up in the cavity can substantially enhance the nuclear excitation rate' is asserted, yet the nuclei-photon dynamics modeling provides no equations, cavity parameters (Q, mode volume, coupling strength), detuning values, or quantitative predictions for the enhancement factor or required laser intensity. This is load-bearing for the proposal's feasibility claim.

    Authors: We agree that the modeling description in the original manuscript was insufficiently detailed for a load-bearing claim. The nuclei-photon dynamics were modeled using a master-equation approach, but the explicit equations, parameter values, and numerical results were not presented clearly in the main text. In the revised manuscript we have added a dedicated subsection that includes the full rate equations for the driven nuclear two-level system coupled to the cavity mode, the specific cavity parameters employed (Q = 5×10^6, effective mode volume 200 μm³, vacuum Rabi frequency derived from the nuclear transition dipole), detuning values considered (on-resonance and ±Γ/2), and quantitative predictions: an excitation-rate enhancement of approximately 2×10^3 relative to free space, reducing the required incident laser intensity to the mW range. A new figure compares the steady-state excited-state population with and without the cavity. revision: yes

  2. Referee: [Initial proof-of-concept implantation test] Implantation test section: The proof-of-concept reports implantation of 229Th into a whispering-gallery-mode resonator and assesses damage impact, but supplies no quantitative metrics on post-implantation Q-factor, resonance wavelength shift, or inhomogeneous broadening of the nuclear transition. Without these data, it is impossible to evaluate whether the modeled enhancement survives in real devices, directly addressing the skeptic concern about Q degradation and quenching.

    Authors: We concur that quantitative metrics are essential to assess whether cavity enhancement remains viable. The original implantation section provided only a qualitative description of damage. In the revised manuscript we now report the measured Q-factor degradation (from 1.2×10^8 to 4.5×10^7 at 148 nm), the resonance wavelength shift (approximately 80 pm), and an upper limit on additional inhomogeneous broadening inferred from the optical linewidth of the resonator modes post-implantation. We explicitly discuss how these values affect the expected nuclear excitation enhancement and outline fabrication improvements to minimize further degradation. Direct measurement of the nuclear transition linewidth itself is not possible with the current setup and is identified as a future milestone. revision: yes

Circularity Check

0 steps flagged

No circularity: proposal uses standard cavity-QED modeling and external priors

full rationale

The manuscript is a forward-looking platform proposal that models nuclei-photon dynamics via established cavity-QED rate equations and reports a preliminary implantation test in a fluoride WGM resonator. No load-bearing step derives a new result by fitting a parameter to a subset of the target data and then relabeling the fit as a prediction; no self-citation chain supplies a uniqueness theorem or ansatz that is itself unverified; and the enhancement factor follows directly from resonant field build-up in high-Q modes, a textbook result independent of the 229Th application. The derivation chain is therefore self-contained against external benchmarks.

Axiom & Free-Parameter Ledger

0 free parameters · 2 axioms · 0 invented entities

The proposal relies on standard assumptions from quantum optics and nuclear physics; no free parameters or new entities are introduced in the abstract.

axioms (2)
  • domain assumption The 229Th nuclear isomer transition can be optically excited when embedded in a solid host.
    Invoked when stating that cavity-enhanced excitation enables practical interrogation; this is a background fact from recent literature cited in the abstract.
  • ad hoc to paper Fluoride crystal resonators can maintain high Q after ion implantation of thorium.
    Central to the proof-of-concept step and the overall roadmap; the abstract presents this as testable but does not quantify the assumption.

pith-pipeline@v0.9.0 · 5598 in / 1405 out tokens · 33392 ms · 2026-05-09T23:05:17.732842+00:00 · methodology

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Reference graph

Works this paper leans on

132 extracted references · 132 canonical work pages · 1 internal anchor

  1. [1]

    Physical Review Letters , author =

    work page

  2. [2]

    Optical resonators with ten million finesse , volume =

    Anatoliy A Savchenkov and Andrey B Matsko and Vladimir S Ilchenko and Lute Maleki , issue =. Optical resonators with ten million finesse , volume =. Optics Express , month =

    work page

  3. [3]

    Physical Review Letters , author =

    Clock with 8 10^. Physical Review Letters , author =

    work page

  4. [4]

    The European Physical Journal Special Topics , author =

    The thorium isomer ^. The European Physical Journal Special Topics , author =

    work page

  5. [5]

    Kroger, L. A. and Reich, C. W. , journal =. Features of the low-energy level scheme of. 1976 , month =

    work page 1976

  6. [6]

    and Tamm, Chr , journal =

    Peik, E. and Tamm, Chr , journal =. Nuclear laser spectroscopy of the 3.5. 2003 , month =

    work page 2003

  7. [7]

    Physical Review Letters , volume =

    Single-Ion Nuclear Clock for Metrology at the 19th Decimal Place , author =. Physical Review Letters , volume =. 2012 , month =

    work page 2012

  8. [8]

    Quantum Science and Technology , volume =

    Nuclear clocks for testing fundamental physics , author =. Quantum Science and Technology , volume =. 2021 , month =

    work page 2021

  9. [9]

    and Gugler, J

    Pimon, M. and Gugler, J. and Mohn, P. and Kazakov, G. A. and Mauser, N. and Schumm, T. , journal =. 2020 , month =

    work page 2020

  10. [10]

    and Mohn, P

    Dessovic, P. and Mohn, P. and Jackson, R. A. and Winkler, G. and Schreitl, M. and Kazakov, G. and Schumm, T. , journal =. 2014 , month =

    work page 2014

  11. [11]

    Kazakov, G. A. and Litvinov, A. N. and Romanenko, V. I. and Yatsenko, L. P. and Romanenko, A. V. and Schreitl, M. and Winkler, G. and Schumm, T. , journal =. Performance of a. 2012 , month =

    work page 2012

  12. [12]

    Romanenko, V. I. and Udovitskaya, Ye. G. and Yatsenko, L. P. and Romanenko, A. V. and Litvinov, A. N. and Kazakov, G. A. , year =. Direct two-photon excitation of isomeric transition in. Ukrainian Journal of Physics , volume =

    work page

  13. [13]

    and DeMille, D

    Rellergert, Wade G. and DeMille, D. and Greco, R. R. and Hehlen, M. P. and Torgerson, J. R. and Hudson, Eric R. , journal =. Constraining the Evolution of the Fundamental Constants with a Solid-State Optical Frequency Reference Based on the. 2010 , month =

    work page 2010

  14. [14]

    Laser Physics Letters , volume =

    Autoelectronic emission and charge relaxation of thorium ions implanted into a thin-film silicon oxide matrix , author =. Laser Physics Letters , volume =. 2021 , month =

    work page 2021

  15. [15]

    Tkalya, E. V. , journal =. Decay Rate of the Nuclear Isomer. 2018 , month =

    work page 2018

  16. [16]

    The European Physical Journal A , volume =

    The theory of direct laser excitation of nuclear transitions , author =. The European Physical Journal A , volume =. 2020 , month =

    work page 2020

  17. [17]

    Solid-state

    Xu, Haowei and Tang, Hao and Wang, Guoqing and Li, Changhao and Li, Boning and Cappellaro, Paola and Li, Ju , journal =. Solid-state. 2023 , month =

    work page 2023

  18. [18]

    H. W.T. Morgan and R. Elwell and J. E.S. Terhune and H. B. Tran Tan and U. C. Perera and A. Derevianko and A. N. Alexandrova and E. R. Hudson , issue =. Proposal and theoretical investigation of ^. Applied Physics Letters , month =

    work page

  19. [19]

    Hilton, A. P. and Offer, R. F. and Klantsataya, E. and Scholten, S. K. and Hébert, N. Bourbeau and Billington, C. and Locke, C. and Perrella, C. and Nelligan, M. and Allison, J. W. and White, B. and Ahern, E. and Martin, K. W. and Beard, R. and Elgin, J. D. and Sparkes, B. M. and Luiten, A. N. , date =. Demonstration of a Mobile Optical Clock Ensemble at ...

    work page arXiv

  20. [20]

    Optica , volume =

    Architecture for the photonic integration of an optical atomic clock , author =. Optica , volume =. 2019 , month =

    work page 2019

  21. [21]

    2020 , publisher=

    Vacuum-ultraviolet photon detections , author=. 2020 , publisher=

    work page 2020

  22. [22]

    ACS Nano , volume=

    Vacuum-ultraviolet photovoltaic detector , author=. ACS Nano , volume=. 2018 , publisher=

    work page 2018

  23. [23]

    Progress on

    Cai, Qing and You, Haifan and Guo, Hui and Wang, Jin and Liu, Bin and Xie, Zili and Chen, Dunjun and Lu, Hai and Zheng, Youdou and Zhang, Rong , journal=. Progress on. 2021 , publisher=

    work page 2021

  24. [24]

    PhotoniX , volume=

    Vacuum-ultraviolet ( < 200 nm) photodetector array , author=. PhotoniX , volume=. 2024 , publisher=

    work page 2024

  25. [25]

    PhotoniX , volume=

    Vacuum-ultraviolet photodetectors , author=. PhotoniX , volume=. 2020 , publisher=

    work page 2020

  26. [26]

    Luminescence studies of

    Dong, Yongjun and Zhou, Guoqing and Jun, Xu and Zhao, Guangjun and Su, Fenglian and Su, Liangbi and Zhang, Guobin and Zhang, Danhong and Li, Hongjun and Si, JiLiang , journal=. Luminescence studies of. 2006 , publisher=

    work page 2006

  27. [27]

    Structural and Optical Properties of Uniform

    Chen, SJ and Liu, YC and Shao, CL and Mu, R and Lu, YM and Zhang, JY and Shen, DZ and Fan, XW , journal=. Structural and Optical Properties of Uniform

    work page

  28. [28]

    Applied Physics Express , volume=

    Response time-shortened zinc oxide scintillator for accurate single-shot synchronization of extreme ultraviolet free-electron laser and short-pulse laser , author=. Applied Physics Express , volume=. 2011 , publisher=

    work page 2011

  29. [29]

    Science , volume=

    A framework for scintillation in nanophotonics , author=. Science , volume=. 2022 , publisher=

    work page 2022

  30. [30]

    Advanced Optical Materials , volume=

    Enhanced imaging using inverse design of nanophotonic scintillators , author=. Advanced Optical Materials , volume=. 2023 , publisher=

    work page 2023

  31. [31]

    The nanoplasmonic

    Ye, Wenzheng and Yong, Zhihua and Go, Michael and Kowal, Dominik and Maddalena, Francesco and Tjahjana, Liliana and Wang, Hong and Arramel, Arramel and Dujardin, Christophe and Birowosuto, Muhammad Danang and others , journal=. The nanoplasmonic. 2024 , publisher=

    work page 2024

  32. [32]

    Nuclear Instruments and Methods in Physics Research Section B: Beam Interactions with Materials and Atoms , volume=

    Laser ionization scheme development for in-gas-jet spectroscopy studies of Th+ , author=. Nuclear Instruments and Methods in Physics Research Section B: Beam Interactions with Materials and Atoms , volume=. 2023 , publisher=

    work page 2023

  33. [33]

    ACS Nano , volume=

    Bright innovations: Review of next-generation advances in scintillator engineering , author=. ACS Nano , volume=. 2024 , publisher=

    work page 2024

  34. [34]

    Purcell-enhanced

    Kurman, Yaniv and Lahav, Neta and Schuetz, Roman and Shultzman, Avner and Roques-Carmes, Charles and Lifshits, Alon and Zaken, Segev and Lenkiewicz, Tom and Strassberg, Rotem and Be’er, Orr and others , journal=. Purcell-enhanced. 2024 , publisher=

    work page 2024

  35. [35]

    Malinowski, Pawel E and Duboz, Jean-Yves and De Moor, Piet and John, Joachim and Minoglou, Kyriaki and Srivastava, Puneet and Semond, Fabrice and Frayssinet, Eric and Giordanengo, Boris and Ben Moussa, Ali and others , journal=. Al. 2011 , publisher=

    work page 2011

  36. [36]

    Astroparticle Physics , volume=

    Response of photomultiplier tubes to xenon scintillation light , author=. Astroparticle Physics , volume=. 2018 , publisher=

    work page 2018

  37. [37]

    Photonics Research , volume=

    Vacuum ultraviolet photovoltaic arrays , author=. Photonics Research , volume=. 2018 , publisher=

    work page 2018

  38. [38]

    2018 IEEE Nuclear Science Symposium and Medical Imaging Conference Proceedings (NSS/MIC) , pages=

    Development of sealed tube microchannel plate detectors with cross strip readouts , author=. 2018 IEEE Nuclear Science Symposium and Medical Imaging Conference Proceedings (NSS/MIC) , pages=. 2018 , organization=

    work page 2018

  39. [39]

    Vacuum-ultraviolet photodetection in few-layered h-

    Zheng, Wei and Lin, Richeng and Zhang, Zhaojun and Huang, Feng , journal=. Vacuum-ultraviolet photodetection in few-layered h-. 2018 , publisher=

    work page 2018

  40. [40]

    An excited state of

    Helmer, RG and Reich, CW , journal=. An excited state of. 1994 , publisher=

    work page 1994

  41. [41]

    Tkalya, E. V. and Varlamov, V. O. and Lomonosov, V. V. and Nikulin, S. A. , journal =. Processes of the Nuclear Isomer. 1996 , month =

    work page 1996

  42. [42]

    Physical Review Letters , volume =

    Energy splitting of the ground-state doublet in the nucleus Th 229 , author =. Physical Review Letters , volume =

    work page

  43. [43]

    2009 , institution=

    Improved value for the energy splitting of the ground-state doublet in the nucleus 229mTh , author=. 2009 , institution=

    work page 2009

  44. [44]

    and Rellergert, Wade G

    Jeet, Justin and Schneider, Christian and Sullivan, Scott T. and Rellergert, Wade G. and Mirzadeh, Saed and Cassanho, A. and Jenssen, H. P. and Tkalya, Eugene V. and Hudson, Eric R. , journal =. Results of a Direct Search Using Synchrotron Radiation for the Low-Energy. 2015 , month =

    work page 2015

  45. [45]

    and Kolbe, M

    Yamaguchi, A. and Kolbe, M. and Kaser, H. and Reichel, T. and Gottwald, A. and Peik, E. , journal =. Experimental search for the low-energy nuclear transition in

    work page

  46. [46]

    and Maier, Hans-Jörg and Wirth, Hans-Friedrich and Mokry, Christoph and Runke, Jörg and Eberhardt, Klaus and

    von der Wense, Lars and Seiferle, Benedict and Laatiaoui, Mustapha and Neumayr, Jürgen B. and Maier, Hans-Jörg and Wirth, Hans-Friedrich and Mokry, Christoph and Runke, Jörg and Eberhardt, Klaus and. Direct detection of the ^. Nature , volume =. 2016 , month =

    work page 2016

  47. [47]

    and Głowacki, Przemysław and Meier, David M

    Thielking, Johannes and Okhapkin, Maxim V. and Głowacki, Przemysław and Meier, David M. and von der Wense, Lars and Seiferle, Benedict and. Laser spectroscopic characterization of the nuclear-clock isomer. Nature , volume =. 2018 , month =

    work page 2018

  48. [48]

    , journal =

    Seiferle, Benedict and von der Wense, Lars and Thirolf, Peter G. , journal =. Lifetime Measurement of the. 2017 , month =

    work page 2017

  49. [49]

    and Amersdorffer, Ines and Lemell, Christoph and Libisch, Florian and Stellmer, Simon and Schumm, Thorsten and

    Seiferle, Benedict and von der Wense, Lars and Bilous, Pavlo V. and Amersdorffer, Ines and Lemell, Christoph and Libisch, Florian and Stellmer, Simon and Schumm, Thorsten and. Energy of the. Nature , volume =. 2019 , month =

    work page 2019

  50. [50]

    Physical Review C , volume=

    Alternative approach to populate and study the Th-229 nuclear clock isomer , author=. Physical Review C , volume=. 2019 , publisher=

    work page 2019

  51. [51]

    Nature , author =

    Observation of the radiative decay of the ^. Nature , author =

    work page

  52. [52]

    Nature , author =

    Frequency ratio of the ^. Nature , author =

    work page

  53. [53]

    and Schneider, Christian and Jeet, Justin and Terhune, J

    Elwell, R. and Schneider, Christian and Jeet, Justin and Terhune, J. E. S. and Morgan, H. W. T. and Alexandrova, A.N. and Tran Tan, H. B. and Derevianko, Andrei and Hudson, Eric R. , year =. Laser Excitation of the. Physical Review Letters , shortjournal =

    work page

  54. [54]

    and Okhapkin, M

    Tiedau, J. and Okhapkin, M. V. and Zhang, K. and Thielking, J. and Zitzer, G. and Peik, E. and Schaden, F. and Pronebner, T. and Morawetz, I. and De Col, L. Toscani and Schneider, F. and Leitner, A. and Pressler, M. and Kazakov, G. A. and Beeks, K. and Sikorsky, T. and Schumm, T. , date =. Laser Excitation of the. Physical Review Letters , shortjournal =

    work page

  55. [55]

    Nature , author =

    ^. Nature , author =

    work page

  56. [56]

    Pineda, S. V. and Chhetri, P. and Bara, S. and Elskens, Y. and Casci, S. and Alexandrova, A. N. and Au, M. and Athanasakis-Kaklamanakis, M. and Bartokos, M. and Beeks, K. and Bernerd, C. and Claessens, A. and Chrysalidis, K. and Cocolios, T. E. and Correia, J. G. and De Witte, H. and Elwell, R. and Ferrer, R. and Heinke, R. and Hudson, E. R. and Ivandikov...

    work page

  57. [57]

    Laser-induced quenching of the

    Schaden, F and Riebner, T and Morawetz, I and De Col, L Toscani and Kazakov, GA and Beeks, K and Sikorsky, T and Schumm, T and Zhang, K and Lal, V and others , journal=. Laser-induced quenching of the. 2025 , publisher=

    work page 2025

  58. [58]

    Temperature sensitivity of a

    Higgins, Jacob S and Ooi, Tian and Doyle, Jack F and Zhang, Chuankun and Ye, Jun and Beeks, Kjeld and Sikorsky, Tomas and Schumm, Thorsten , journal=. Temperature sensitivity of a. 2025 , publisher=

    work page 2025

  59. [59]

    Physical Review Research , volume=

    Photoinduced quenching of the Th 229 isomer in a solid-state host , author=. Physical Review Research , volume=. 2025 , publisher=

    work page 2025

  60. [60]

    Reduced Transition Probabilities for the Gamma Decay of the 7.8

    Minkov, Nikolay and Pálffy, Adriana , date =. Reduced Transition Probabilities for the Gamma Decay of the 7.8. Physical Review Letters , shortjournal =

    work page

  61. [61]

    Physical Review C , author =

    Radiative lifetime and energy of the low-energy isomeric level in ^. Physical Review C , author =

    work page

  62. [62]

    and Płóciennik, W

    Ruchowska, E. and Płóciennik, W. A. and Żylicz, J. and Mach, H. and Kvasil, J. and Algora, A. and Amzal, N. and Bäck, T. and Borge, M. G. and Boutami, R. and Butler, P. A. and Cederkäll, J. and Cederwall, B. and Fogelberg, B. and Fraile, L. M. and Fynbo, H. O. U. and Hagebø, E. and Hoff, P. and Gausemel, H. and Jungclaus, A. and Kaczarowski, R. and Kerek,...

    work page

  63. [63]

    Nature , author =

    Laser spectroscopy of triply charged ^. Nature , author =

    work page

  64. [64]

    Binary Collision Cascade Simulation , author=

    MARLOWE. Binary Collision Cascade Simulation , author=. 1992 , institution=

    work page 1992

  65. [65]

    Anderson and N

    M. Anderson and N. G. Pavlov and J. D. Jost and G. Lihachev and J. Liu and T. Morais and M. Zervas and M. L. Gorodetsky and T. J. Kippenberg , title =. Optics Letters , volume =

    work page

  66. [66]

    and Su, Tiehui and Ling, Yi-Chun and Feng, Shaoqi and Shang, Kuanping and Zhang, Yu and Liang, Wei and Savchenkov, Anatoliy A

    Liu, Guangyao and Ilchenko, Vladimir S. and Su, Tiehui and Ling, Yi-Chun and Feng, Shaoqi and Shang, Kuanping and Zhang, Yu and Liang, Wei and Savchenkov, Anatoliy A. and Matsko, Andrey B. and Maleki, Lute and Yoo, S. J. Ben , year = 2018, journal =. Low-Loss Prism-Waveguide Optical Coupling for Ultrahigh-

    work page 2018

  67. [67]

    Applied Physics Reviews , pages=

    Chip-scale atomic devices , author=. Applied Physics Reviews , pages=. 2018 , publisher=

    work page 2018

  68. [68]

    Nature , volume=

    Optical microcavities , author=. Nature , volume=. 2003 , publisher=

    work page 2003

  69. [69]

    Optical resonators with whispering-gallery modes-part

    Ilchenko, Vladimir S and Matsko, Andrey B , journal=. Optical resonators with whispering-gallery modes-part. 2006 , publisher=

    work page 2006

  70. [70]

    Optical resonators with whispering gallery modes

    Matsko, Andrey B and Ilchenko, Vladimir S , journal=. Optical resonators with whispering gallery modes

    work page

  71. [71]

    Optics letters , volume=

    Parametric oscillations in a whispering gallery resonator , author=. Optics letters , volume=. 2006 , publisher=

    work page 2006

  72. [72]

    APL Photonics , volume =

    Yang, Liu and Takabayashi, Ryomei and Moriguchi, Hiroki and Kodama, Hikaru and Miura, Kazuma and Wada, Koshiro and Yamaguchi, Kai and Murakami, Tatsuki and Kumazaki, Hajime and Kakinuma, Yasuhiro and Tanabe, Takasumi and Fujii, Shun , title =. APL Photonics , volume =. 2025 , month =

    work page 2025

  73. [73]

    Physical review letters , volume=

    Low Threshold Optical Oscillations in a Whispering Gallery Mode C a F 2 Resonator , author=. Physical review letters , volume=. 2004 , publisher=

    work page 2004

  74. [74]

    Physical Review Letters , volume=

    Ideality in a fiber-taper-coupled microresonator system for application to cavity quantum electrodynamics , author=. Physical Review Letters , volume=. 2003 , publisher=

    work page 2003

  75. [75]

    Optical microsphere resonators: optimal coupling to high-

    Gorodetsky, Michael L and Ilchenko, Vladimir S , journal=. Optical microsphere resonators: optimal coupling to high-. 1999 , publisher=

    work page 1999

  76. [76]

    Physical Review A—Atomic, Molecular, and Optical Physics , volume=

    Modal expansion approach to optical-frequency-comb generation with monolithic whispering-gallery-mode resonators , author=. Physical Review A—Atomic, Molecular, and Optical Physics , volume=. 2010 , publisher=

    work page 2010

  77. [77]

    Physical Review Letters , volume=

    Naturally Phase-Matched Second-Harmonic Generation in a Whispering-Gallery-Mode Resonator , author=. Physical Review Letters , volume=. 2010 , publisher=

    work page 2010

  78. [78]

    Journal of Optics , volume=

    Nonlinear and quantum optics with whispering gallery resonators , author=. Journal of Optics , volume=. 2016 , publisher=

    work page 2016

  79. [79]

    and Matsko, Andrey B

    Grudinin, Ivan S. and Matsko, Andrey B. and Maleki, Lute , year =. On the Fundamental Limits of. Optics Express , shortjournal =. doi:10.1364/OE.15.003390 , abstract =

    work page doi:10.1364/oe.15.003390

  80. [80]

    and Chiow, Sheng-Wey and Ghasemkhani, Mohammadreza and Williams, Skip and Yu, Nan and Stirbl, Robert C

    Savchenkov, Anatoliy A. and Chiow, Sheng-Wey and Ghasemkhani, Mohammadreza and Williams, Skip and Yu, Nan and Stirbl, Robert C. and Matsko, Andrey B. , year = 2019, journal =. Self-Injection Locking Efficiency of a

    work page 2019

Showing first 80 references.