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REVIEW 3 major objections 3 minor 77 references

Quantum Otto Heat Engine based on the Dicke-Stark Model under Infinite-Time and Finite-Time Thermodynamic Frameworks

T0 review · 3 major / 3 minor · reviewed 2026-08-15 · deepseek-v4-flash

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Pith's one-line read A finite-size Dicke-Stark quantum Otto engine performs best when the light-matter coupling sits near the superradiant phase transition, and Stark-field tuning can suppress quantum friction to raise work, efficiency, and power.

desk verdict The new Dicke-Stark Otto engine result is worth refereeing, but the abstract alone doesn't show the basis-set convergence checks that its phase-transition optimum depends on. read the letter →

arxiv 2508.10707 v1 pith:JF4B4O2Y submitted 2025-08-14 quant-ph

Weilin Wang , Xiyuan Zhang , Weiran Zhao , Mingshu Zhao , Jinying Ma , Zhanyuan Yan This is my paper · ORCID
classification quant-ph
keywords quantumOttoengineDicke-Starkmodelsuperradiantphasetransitionfrictionentropyproductionfinite-timethermodynamicsheatStarkfield
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 paper proposes a quantum Otto heat engine whose working substance is a finite-size Dicke-Stark model, and it tries to establish that the engine performs best when the light-matter coupling sits near the superradiant phase transition point. Using numerically obtained energy spectra and eigenstates in an extended coherent-state basis, the authors compute output work, efficiency, and power in both infinite-time and finite-time strokes. They find that tuning the Stark field strength reshapes the level structure and the transition, reducing entropy generation and quantum friction, and thereby significantly increasing all three performance measures. The paper also claims that asymmetric isochoric strokes, with different Stark field strengths and stroke times, outperform symmetric ones, and that more atoms in the Dicke-Stark working substance raise output work and efficiency.

What carries the argument

The central object is the finite-size Dicke-Stark model, a cavity quantum electrodynamics Hamiltonian that combines the Dicke collective light-matter coupling with an additional Stark interaction term. The argument is carried by the numerically obtained complete energy spectrum and eigenstates in an extended coherent-state space, which locate the superradiant phase transition for a finite system and provide the level structure that controls quantum friction and entropy production. The Stark field is the tunable parameter that moves this level structure and the transition point. The Otto cycle supplies the thermodynamic framework: two adiabatic strokes during which populations are preserved and two isochoric strokes during which the working substance exchanges heat with reservoirs.

What would settle it

Increase the size of the coherent-state basis until the spectrum stops changing and recompute output work, efficiency, and power near the transition; if the maxima move away from the transition or disappear, the central claim is a truncation artifact. A second check is to measure entropy production in the isochoric strokes, since the paper predicts a clear drop as the Stark field is tuned to the optimal value.

Watch

Extended reading notes

Core claim

The central claim is that the optimal operating point of a Dicke-Stark Otto engine sits at or near the coupling strength of the superradiant phase transition. In this model, a Stark field adds a controllable interaction term that shifts the transition and modifies the energy-level spacing. The paper argues that regulating this Stark field reduces entropy production and quantum friction during nonequilibrium evolution, so output work, efficiency, and power all increase. It further claims that making the two isochoric strokes asymmetric, with different Stark field strengths and stroke times on each bath stroke, improves performance beyond the symmetric configuration. Increasing the number of atoms in the Dicke-Stark system is also shown to be beneficial for the engine's work and efficiency.

Load-bearing premise

The main load-bearing premise is that the numerical calculation captures every relevant energy level of the finite-size system within the truncated extended coherent-state space and locates the superradiant phase transition correctly; if that fails, the claimed performance peak at the transition point collapses.

Editorial extensions

If this is right

  • Designers of quantum Otto engines can target light-matter systems operated at their superradiant transition rather than away from it.
  • Stark field strength becomes a practical tunable knob for increasing power without adding dissipation.
  • Symmetric cycles are not optimal; allowing different Stark field strengths and stroke times on the two isochoric strokes improves the engine.
  • Adding more atoms to the Dicke-Stark working substance increases output work and efficiency.
  • Finite-time operation preserves the advantage, so the near-transition design is not limited to quasistatic cycles.

Reading between the lines

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

  • If the mechanism is generic, any working substance whose level spacing softens near a critical point may exhibit a similar performance peak, but the paper itself demonstrates this only for the Dicke-Stark model.
  • A natural testable extension is to sweep the number of atoms and check whether the optimal coupling moves toward the thermodynamic transition point as the system grows, connecting finite-size optimization to the infinite-size phase diagram.
  • The asymmetric-stroke result suggests a broader control strategy for finite-time quantum engines: deliberately mismatching the effective Hamiltonians and bath-contact times on the two isochores can reduce net entropy production.
  • The numerical method's reliance on a truncated basis means that a convergence check in basis size is the first thing to try before building an experiment around the predicted performance peak.
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Editorial analysis

A structured set of objections, weighed in public.

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

Referee Report

3 major / 3 minor

Summary. The manuscript proposes a quantum Otto heat engine whose working substance is a finite-size Dicke-Stark model. According to the abstract, the authors obtain the complete energy spectrum and eigenstates numerically in an extended coherent state space, then study the dependence of output work, efficiency, and power on Stark field strength, coupling strength, stroke times, and atom number. The central reported findings are that work and efficiency are maximized near the superradiant phase transition, that tuning the Stark field reduces entropy generation and quantum friction, and that asymmetric isochoric strokes with different Stark fields improve performance. The reviewable text consists of the abstract only; the main text, equations, and numerical details were not provided.

Significance. If the reported results hold, the paper identifies a concrete design principle: place the operating point of a Dicke-Stark Otto engine near the superradiant transition and use Stark-field asymmetry to reduce quantum friction. That is a potentially useful contribution to quantum thermodynamics and quantum-engine design. The visible strengths are limited because the entire quantitative basis is numerical and no code, data, or convergence checks are shown; the falsifiable prediction about the optimal coupling location is clear, but its significance is conditional on the accuracy of the undisclosed numerical methods.

major comments (3)
  1. [Abstract] The abstract states that 'the complete energy spectrum and eigenstates of this model are obtained through numerical calculations' but reports no basis-truncation size, no convergence test, and no cross-validation against exact diagonalization. For the finite-size Dicke-Stark model the bosonic Hilbert space is infinite-dimensional; if the extended coherent state space is truncated, the location of the superradiant transition and the avoided crossings that govern finite-time nonequilibrium dynamics can shift, so the headline claim that maximum work and efficiency occur near the transition is not verifiable from the provided text.
  2. [Abstract] The finite-time claims—reduced entropy generation and quantum friction, and enhanced work, efficiency, and power from Stark-field tuning—depend on the specific definition of quantum friction, the dynamical treatment of the isochoric strokes, and the population-preservation assumption in the adiabatic strokes. None of these definitions, stroke Hamiltonians, or equations appears in the available text, so the central mechanism cannot be checked. Please provide the stroke Hamiltonians, the dynamical maps, and the nonadiabatic transition probabilities.
  3. [Abstract] The quantitative claims are presented without parameter values, effect sizes, or error estimates. For a numerical study, the abstract should report the ranges of coupling strengths, atom numbers, and stroke times, and the accuracy of the numerics, so that the reader can assess whether the optimum near the phase transition is a robust result rather than a finite-size artifact.
minor comments (3)
  1. [Abstract] The term 'extended coherent state space' is used without a definition or reference; please clarify the construction and cite the method.
  2. [Abstract] The phrase 'more conducive to optimizing the heat engine's performance' is vague; replace it with a concrete statement of which quantity is optimized and by how much.
  3. [Abstract] The abbreviation 'DS model' appears after 'Dicke-Stark model' but is not explicitly defined at first use; consider defining it in the abstract.

Circularity Check

0 steps flagged · score 0.0 of 10

No circularity found: the abstract's numerical claims are outputs of parameter sweeps, not inputs to the model.

full rationale

The available manuscript text consists only of the abstract; no equations, derivations, or citations are present. The abstract's claims—optimal work and efficiency near the superradiant phase transition, Stark-field regulation reducing entropy generation and quantum friction, and the benefits of asymmetric isochoric strokes—are presented as outcomes of numerical calculations and parameter scans over coupling strength, Stark field strength, stroke times, and atom number. There is no indication that any predicted quantity was used as a fitting target or defined in terms of the others. The 'complete energy spectrum and eigenstates' obtained through numerical calculation is a computational premise, not a circular input. The absence of basis-size convergence checks or expanded equations is a reproducibility and correctness concern, but it does not constitute circularity under the rule requiring a quoted equation or explicit reduction. No self-citation is visible, and no fitted input is renamed as a prediction. Therefore no circular steps are identified.

Assumptions & free parameters 0 free parameters · 3 assumptions · 0 invented entities

No free parameters are noted because the abstract lists control parameters that are swept, not fitted constants. The model and cycle assumptions are standard but unverifiable from the abstract. No new entities are introduced.

assumptions (3)
  • domain assumption The Dicke-Stark model correctly describes the working substance.
    The paper assumes this Hamiltonian and its energy levels govern the Otto engine; stated in the abstract as the working substance.
  • domain assumption The Otto cycle consists of two adiabatic and two isochoric strokes, with thermalization to equilibrium during isochoric strokes.
    Standard Otto-cycle idealization implied by the phrases infinite-time and finite-time thermodynamic frameworks; not stated in detail in the abstract.
  • domain assumption Numerical diagonalization in the extended coherent state space yields a complete spectrum.
    The abstract asserts completeness of the numerically obtained spectrum; this is an assumption about basis truncation and numerical accuracy needed for all subsequent results.

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Cite this review

Pith. "Pith review of Quantum Otto Heat Engine based on the Dicke-Stark Model under Infinite-Time and Finite-Time Thermodynamic Frameworks." pith.science (2026). https://pith.science/paper/JF4B4O2Y

@misc{pith2026250810707,
  author       = {Pith},
  title        = {Pith review of: Quantum Otto Heat Engine based on the Dicke-Stark Model under Infinite-Time and Finite-Time Thermodynamic Frameworks},
  year         = {2026},
  howpublished = {\url{https://pith.science/paper/JF4B4O2Y}},
  note         = {Machine review of arXiv:2508.10707}
}
read the original abstract

We propose a quantum Otto heat engine that employs a finite-size Dicke-Stark model as the working substance. In the extended coherent state space, the complete energy spectrum and eigenstates of this model are obtained through numerical calculations. Within the infinite-time and finite-time thermodynamics frameworks, we investigate the effects of the Stark field strength, coupling strength, adiabatic stroke time, isochoric stroke time, and number of atoms in the DS model on the heat engine's output work, efficiency, and power. The results show that the maximum values of the output work and efficiency appear near the coupling strength corresponding to the superradiant phase transition point. Regulating the Stark field strength can tune the energy level structure of the system and the superradiant phase transition, effectively reducing entropy generation and quantum friction during nonequilibrium evolution of the system's states and thereby significantly increasing the engine's output work, efficiency, and power. Asymmetric heat engines, where the two isochoric strokes have different Stark field strengths and stroke times, are more conducive to optimizing the heat engine's performance. Additionally, in the DS model, an increase in the number of atoms is also beneficial for increasing the heat engine's output work and efficiency. The results of this paper facilitate the design of high-performance quantum heat engines.

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Reference graph

Works this paper leans on

77 extracted references · 74 canonical work pages

  1. [1]

    Quantum equivalent of the carnot cycle

    JE Geusic, EO Schulz-DuBios, and HED Scovil. Quantum equivalent of the carnot cycle. Physical Review , 156(2):343, 1967

    work page 1967

  2. [2]

    Quantum thermodynamics: A dynamical viewpoint

    Ronnie Kosloff. Quantum thermodynamics: A dynamical viewpoint. Entropy , 15(6):2100--2128, 2013

    work page 2013

  3. [3]

    Quantum power boost in a nonstationary cavity-qed quantum heat engine

    AV Dodonov, D Valente, and T Werlang. Quantum power boost in a nonstationary cavity-qed quantum heat engine. Journal of Physics A: Mathematical and Theoretical , 51(36):365302, 2018

    work page 2018

  4. [4]

    Probabilistically violating the first law of thermodynamics in a quantum heat engine

    Timo Kerremans, Peter Samuelsson, and Patrick Potts. Probabilistically violating the first law of thermodynamics in a quantum heat engine. SciPost Physics , 12(5):168, 2022

    work page 2022

  5. [5]

    Thermal entanglement in two-atom cavity qed and the entangled quantum otto engine

    Hao Wang, Sanqiu Liu, and Jizhou He. Thermal entanglement in two-atom cavity qed and the entangled quantum otto engine. Physical Review E—Statistical, Nonlinear, and Soft Matter Physics , 79(4):041113, 2009

    work page 2009

  6. [6]

    Quantum measurement cooling

    Lorenzo Buffoni, Andrea Solfanelli, Paola Verrucchi, Alessandro Cuccoli, and Michele Campisi. Quantum measurement cooling. Physical review letters , 122(7):070603, 2019

    work page 2019

  7. [7]

    Nanoscale heat engine beyond the carnot limit

    Johannes Ro nagel, Obinna Abah, Ferdinand Schmidt-Kaler, Kilian Singer, and Eric Lutz. Nanoscale heat engine beyond the carnot limit. Physical review letters , 112(3):030602, 2014

    work page 2014

  8. [8]

    Squeezed thermal reservoirs as a resource for a nanomechanical engine beyond the carnot limit

    Jan Klaers, Stefan Faelt, Atac Imamoglu, and Emre Togan. Squeezed thermal reservoirs as a resource for a nanomechanical engine beyond the carnot limit. Physical Review X , 7(3):031044, 2017

    work page 2017

Show all 77 references
  1. [9]

    Quantum absorption refrigerator with trapped ions

    Gleb Maslennikov, Shiqian Ding, Roland Habl \"u tzel, Jaren Gan, Alexandre Roulet, Stefan Nimmrichter, Jibo Dai, Valerio Scarani, and Dzmitry Matsukevich. Quantum absorption refrigerator with trapped ions. Nature communications , 10(1):202, 2019

    2019

  2. [10]

    Quantum optomechanical heat engine

    Keye Zhang, Francesco Bariani, and Pierre Meystre. Quantum optomechanical heat engine. Physical review letters , 112(15):150602, 2014

    2014

  3. [11]

    Theory of an optomechanical quantum heat engine

    Keye Zhang, Francesco Bariani, and Pierre Meystre. Theory of an optomechanical quantum heat engine. Physical Review A , 90(2):023819, 2014

    2014

  4. [12]

    A thermoelectric heat engine with ultracold atoms

    Jean-Philippe Brantut, Charles Grenier, Jakob Meineke, David Stadler, Sebastian Krinner, Corinna Kollath, Tilman Esslinger, and Antoine Georges. A thermoelectric heat engine with ultracold atoms. Science , 342(6159):713--715, 2013

    2013

  5. [13]

    On-chip maxwell’s demon as an information-powered refrigerator

    Jonne V Koski, Aki Kutvonen, Ivan M Khaymovich, Tapio Ala-Nissila, and Jukka P Pekola. On-chip maxwell’s demon as an information-powered refrigerator. Physical review letters , 115(26):260602, 2015

    2015

  6. [14]

    Maxwell's demon based on a single qubit

    JP Pekola, DS Golubev, and DV Averin. Maxwell's demon based on a single qubit. Physical Review B , 93(2):024501, 2016

    2016

  7. [15]

    The quantum harmonic otto cycle

    Ronnie Kosloff and Yair Rezek. The quantum harmonic otto cycle. Entropy , 19(4):136, 2017

    2017

  8. [16]

    Quantum Thermodynamics: An introduction to the thermodynamics of quantum information

    Sebastian Deffner and Steve Campbell. Quantum Thermodynamics: An introduction to the thermodynamics of quantum information . Morgan & Claypool Publishers, 2019

    2019

  9. [17]

    Implications of coupling in quantum thermodynamic machines

    George Thomas, Manik Banik, and Sibasish Ghosh. Implications of coupling in quantum thermodynamic machines. Entropy , 19(9):442, 2017

    2017

  10. [18]

    Finite-time quantum stirling heat engine

    S Hamedani Raja, Sabrina Maniscalco, Gheorghe-Sorin Paraoanu, Jukka P Pekola, and N Lo Gullo. Finite-time quantum stirling heat engine. New Journal of Physics , 23(3):033034, 2021

    2021

  11. [19]

    Friction due to inhomogeneous driving of coupled spins in a quantum heat engine

    George Thomas and Ramandeep S Johal. Friction due to inhomogeneous driving of coupled spins in a quantum heat engine. The European Physical Journal B , 87:1--6, 2014

    2014

  12. [20]

    Quantum otto cycle with inner friction: finite-time and disorder effects

    Antonio Alecce, Fernando Galve, N Lo Gullo, Luca Dell’Anna, Francesco Plastina, and Roberta Zambrini. Quantum otto cycle with inner friction: finite-time and disorder effects. New Journal of Physics , 17(7):075007, 2015

    2015

  13. [21]

    Irreversible work and inner friction in quantum thermodynamic processes

    Francesco Plastina, Antonio Alecce, Tony JG Apollaro, Giovanni Falcone, Gianluca Francica, Fernando Galve, Nicolino Lo Gullo, and Roberta Zambrini. Irreversible work and inner friction in quantum thermodynamic processes. Physical review letters , 113(26):260601, 2014

    2014

  14. [22]

    Shortcut-to-adiabaticity otto engine: A twist to finite-time thermodynamics

    Obinna Abah and Mauro Paternostro. Shortcut-to-adiabaticity otto engine: A twist to finite-time thermodynamics. Physical Review E , 99(2):022110, 2019

    2019

  15. [23]

    Universal trade-off relation between power and efficiency for heat engines

    Naoto Shiraishi, Keiji Saito, and Hal Tasaki. Universal trade-off relation between power and efficiency for heat engines. Physical review letters , 117(19):190601, 2016

    2016

  16. [24]

    Feshbach engine in the thomas-fermi regime

    Tim Keller, Thom \'a s Fogarty, Jing Li, and Thomas Busch. Feshbach engine in the thomas-fermi regime. Physical Review Research , 2(3):033335, 2020

    2020

  17. [25]

    Measurement-based quantum heat engine in a multilevel system

    Maron F Anka, Thiago R de Oliveira, and Daniel Jonathan. Measurement-based quantum heat engine in a multilevel system. Physical Review E , 104(5):054128, 2021

    2021

  18. [26]

    Quantum otto engines at relativistic energies

    Nathan M Myers, Obinna Abah, and Sebastian Deffner. Quantum otto engines at relativistic energies. New journal of physics , 23(10):105001, 2021

    2021

  19. [27]

    O zg \"u r E M \

    Bar s C akmak and \"O zg \"u r E M \"u stecapl o g lu. Spin quantum heat engines with shortcuts to adiabaticity. Physical Review E , 99(3):032108, 2019

    2019

  20. [28]

    Experimental characterization of a spin quantum heat engine

    John PS Peterson, Tiago B Batalh \ a o, Marcela Herrera, Alexandre M Souza, Roberto S Sarthour, Ivan S Oliveira, and Roberto M Serra. Experimental characterization of a spin quantum heat engine. Physical review letters , 123(24):240601, 2019

    2019

  21. [29]

    A many-body heat engine at criticality

    Thom \'a s Fogarty and Thomas Busch. A many-body heat engine at criticality. Quantum Science and Technology , 6(1):015003, 2020

    2020

  22. [30]

    Coherence in spontaneous radiation processes

    Robert H Dicke. Coherence in spontaneous radiation processes. Physical review , 93(1):99, 1954

    1954

  23. [31]

    Phase transitions in some generalized dicke models of superradiance

    FT Hioe. Phase transitions in some generalized dicke models of superradiance. Physical Review A , 8(3):1440, 1973

    1973

  24. [32]

    Phase transition in the dicke model of superradiance

    Yo K Wang and FT Hioe. Phase transition in the dicke model of superradiance. Physical Review A , 7(3):831, 1973

    1973

  25. [33]

    Observation of the magnonic dicke superradiant phase transition

    Dasom Kim, Sohail Dasgupta, Xiaoxuan Ma, Joong-Mok Park, Hao-Tian Wei, Xinwei Li, Liang Luo, Jacques Doumani, Wanting Yang, Di Cheng, et al. Observation of the magnonic dicke superradiant phase transition. Science advances , 11(14):eadt1691, 2025

    2025

  26. [34]

    Enhancing macroscopic multimode entanglement through many-body interactions in cavity magnomechanics

    Anil Kumar Chauhan, A Kani, and Jason Twamley. Enhancing macroscopic multimode entanglement through many-body interactions in cavity magnomechanics. Physical Review A , 111(3):033505, 2025

    2025

  27. [35]

    Shortcuts to adiabaticity: Concepts, methods, and applications

    David Gu \'e ry-Odelin, Andreas Ruschhaupt, Anthony Kiely, Erik Torrontegui, Sofia Mart \' nez-Garaot, and Juan Gonzalo Muga. Shortcuts to adiabaticity: Concepts, methods, and applications. Reviews of Modern Physics , 91(4):045001, 2019

    2019

  28. [36]

    Friction-free quantum machines

    Adolfo del Campo, Aur \'e lia Chenu, Shujin Deng, and Haibin Wu. Friction-free quantum machines. Thermodynamics in the quantum regime: fundamental aspects and new directions , pages 127--148, 2018

    2018

  29. [37]

    Shortcuts to adiabaticity

    Erik Torrontegui, Sara Ib \'a \ n ez, Sofia Mart \' nez-Garaot, Michele Modugno, Adolfo del Campo, David Gu \'e ry-Odelin, Andreas Ruschhaupt, Xi Chen, and Juan Gonzalo Muga. Shortcuts to adiabaticity. In Advances in atomic, molecular, and optical physics , volume 62, pages 11...

    2013

  30. [38]

    Optimal cycles for low-dissipation heat engines

    Paolo Abiuso and Mart \' Perarnau-Llobet. Optimal cycles for low-dissipation heat engines. Physical review letters , 124(11):110606, 2020

    2020

  31. [39]

    More bang for your buck: Super-adiabatic quantum engines

    A del Campo, John Goold, and Mauro Paternostro. More bang for your buck: Super-adiabatic quantum engines. Scientific reports , 4(1):6208, 2014

    2014

  32. [40]

    Shortcuts to adiabaticity by counterdiabatic driving

    Adolfo Del Campo. Shortcuts to adiabaticity by counterdiabatic driving. Physical review letters , 111(10):100502, 2013

    2013

  33. [41]

    The ising critical quantum otto engine

    Giulia Piccitto, Michele Campisi, and Davide Rossini. The ising critical quantum otto engine. New Journal of Physics , 24(10):103023, 2022

    2022

  34. [42]

    Quantum thermodynamic cycle with quantum phase transition

    Yu-Han Ma, Shan-He Su, and Chang-Pu Sun. Quantum thermodynamic cycle with quantum phase transition. Physical Review E , 96(2):022143, 2017

    2017

  35. [43]

    An interaction-driven many-particle quantum heat engine and its universal behavior

    Yang-Yang Chen, Gentaro Watanabe, Yi-Cong Yu, Xi-Wen Guan, and Adolfo del Campo. An interaction-driven many-particle quantum heat engine and its universal behavior. npj Quantum Information , 5(1):88, 2019

    2019

  36. [44]

    S, Victor Mukherjee, Uma Divakaran, and Adolfo del Campo

    Revathy B. S, Victor Mukherjee, Uma Divakaran, and Adolfo del Campo. Universal finite-time thermodynamics of many-body quantum machines from kibble-zurek scaling. Physical Review Research , 2(4):043247, 2020

    2020

  37. [45]

    Improving performance of quantum heat engines using modified otto cycle

    BS Revathy, Harsh Sharma, and Uma Divakaran. Improving performance of quantum heat engines using modified otto cycle. Journal of Physics A: Mathematical and Theoretical , 57(16):165302, 2024

    2024

  38. [46]

    The spectrum in qubit-oscillator systems in the ultrastrong coupling regime

    Qing-Hu Chen, Lei Li, Tao Liu, and Ke-Lin Wang. The spectrum in qubit-oscillator systems in the ultrastrong coupling regime. Chinese Physics Letters , 29(1):014208, 2012

    2012

  39. [47]

    Climbing the jaynes--cummings ladder and observing its nonlinearity in a cavity qed system

    JM Fink, M G \"o ppl, M Baur, R Bianchetti, Peter J Leek, Alexandre Blais, and Andreas Wallraff. Climbing the jaynes--cummings ladder and observing its nonlinearity in a cavity qed system. Nature , 454(7202):315--318, 2008

    2008

  40. [48]

    Numerically exact solution to the finite-size dicke model

    Qing-Hu Chen, Yu-Yu Zhang, Tao Liu, and Ke-Lin Wang. Numerically exact solution to the finite-size dicke model. Physical Review A—Atomic, Molecular, and Optical Physics , 78(5):051801, 2008

    2008

  41. [49]

    Quantum chaos triggered by precursors of a quantum phase transition: the dicke model

    Clive Emary and Tobias Brandes. Quantum chaos triggered by precursors of a quantum phase transition: the dicke model. Physical review letters , 90(4):044101, 2003

    2003

  42. [50]

    Fate of photon blockade in the deep strong-coupling regime

    Alexandre Le Boit \'e , Myung-Joong Hwang, Hyunchul Nha, and Martin B Plenio. Fate of photon blockade in the deep strong-coupling regime. Physical Review A , 94(3):033827, 2016

    2016

  43. [51]

    Quantum phase transition of light in the dissipative rabi-hubbard lattice: A dressed-master-equation perspective

    Tian Ye, Chen Wang, and Qing-Hu Chen. Quantum phase transition of light in the dissipative rabi-hubbard lattice: A dressed-master-equation perspective. Physical Review A , 104(5):053708, 2021

    2021

  44. [52]

    Dissipation and thermal noise in hybrid quantum systems in the ultrastrong-coupling regime

    Alessio Settineri, Vincenzo Macr \' , Alessandro Ridolfo, Omar Di Stefano, Anton Frisk Kockum, Franco Nori, and Salvatore Savasta. Dissipation and thermal noise in hybrid quantum systems in the ultrastrong-coupling regime. Physical Review A , 98(5):053834, 2018

    2018

  45. [53]

    The dicke model in quantum optics: Dicke model revisited

    Barry M Garraway. The dicke model in quantum optics: Dicke model revisited. Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences , 369(1939):1137--1155, 2011

    1939

  46. [54]

    Frustration and glassiness in spin models with cavity-mediated interactions

    Sarang Gopalakrishnan, Benjamin L Lev, and Paul M Goldbart. Frustration and glassiness in spin models with cavity-mediated interactions. Physical review letters , 107(27):277201, 2011

    2011

  47. [55]

    Nonequilibrium quantum phase transitions in the dicke model

    VM Bastidas, C Emary, B Regler, and T Brandes. Nonequilibrium quantum phase transitions in the dicke model. Physical review letters , 108(4):043003, 2012

    2012

  48. [56]

    Quantum phase transition and berry phase of the dicke model in the presence of the stark-shift

    AS Abdel-Rady, Samia SA Hassan, Abdel-Nasser A Osman, and Ahmed Salah. Quantum phase transition and berry phase of the dicke model in the presence of the stark-shift. International Journal of Modern Physics B , 31(12):1750091, 2017

    2017

  49. [57]

    Dicke state generation via selective interactions in a dicke-stark model

    Fengchun Mu, Ya Gao, Hongda Yin, and Gangcheng Wang. Dicke state generation via selective interactions in a dicke-stark model. Optics Express , 28(26):39574--39585, 2020

    2020

  50. [58]

    Superradiant phase transition and statistical properties in dicke-stark model

    Weilin Wang, Ronghai Liu, Fangcheng Qiu, Mingshu Zhao, Jinying Ma, and Zhanyuan Yan. Superradiant phase transition and statistical properties in dicke-stark model. arXiv preprint arXiv:2508.08860 , 2025

    2025

  51. [59]

    Accurate lindblad-form master equation for weakly damped quantum systems across all regimes

    Gavin McCauley, Benjamin Cruikshank, Denys I Bondar, and Kurt Jacobs. Accurate lindblad-form master equation for weakly damped quantum systems across all regimes. npj Quantum Information , 6(1):74, 2020

    2020

  52. [60]

    Universal quantum otto heat machine based on the dicke model

    He-Guang Xu, Jiasen Jin, GDM Neto, and Norton G de Almeida. Universal quantum otto heat machine based on the dicke model. Physical Review E , 109(1):014122, 2024

    2024

  53. [61]

    Exploring the role of criticality in the quantum otto cycle fueled by the anisotropic quantum rabi-stark model

    He-Guang Xu, Jiasen Jin, Norton G de Almeida, and GD de Moraes Neto. Exploring the role of criticality in the quantum otto cycle fueled by the anisotropic quantum rabi-stark model. Physical Review B , 110(13):134318, 2024

    2024

  54. [62]

    Completely positive dynamical semigroups of n-level systems

    Vittorio Gorini, Andrzej Kossakowski, and Ennackal Chandy George Sudarshan. Completely positive dynamical semigroups of n-level systems. Journal of Mathematical Physics , 17(5):821--825, 1976

    1976

  55. [63]

    On the generators of quantum dynamical semigroups

    Goran Lindblad. On the generators of quantum dynamical semigroups. Communications in mathematical physics , 48:119--130, 1976

    1976

  56. [64]

    Quantum dissipative systems

    Ulrich Weiss. Quantum dissipative systems . World Scientific, 2012

    2012

  57. [65]

    The theory of open quantum systems

    Heinz-Peter Breuer and Francesco Petruccione. The theory of open quantum systems . OUP Oxford, 2002

    2002

  58. [66]

    The second law, maxwell's demon, and work derivable from quantum heat engines

    Tien D Kieu. The second law, maxwell's demon, and work derivable from quantum heat engines. Physical review letters , 93(14):140403, 2004

    2004

  59. [67]

    Optimization of asymmetric quantum otto engine cycles

    Rahul Shastri and B Prasanna Venkatesh. Optimization of asymmetric quantum otto engine cycles. Physical Review E , 106(2):024123, 2022

    2022

  60. [68]

    Slow dynamics and thermodynamics of open quantum systems

    Vasco Cavina, Andrea Mari, and Vittorio Giovannetti. Slow dynamics and thermodynamics of open quantum systems. Physical review letters , 119(5):050601, 2017

    2017

  61. [69]

    Universal constraint for efficiency and power of a low-dissipation heat engine

    Yu-Han Ma, Dazhi Xu, Hui Dong, and Chang-Pu Sun. Universal constraint for efficiency and power of a low-dissipation heat engine. Physical Review E , 98(4):042112, 2018

    2018

  62. [70]

    Optimal operating protocol to achieve efficiency at maximum power of heat engines

    Yu-Han Ma, Dazhi Xu, Hui Dong, and Chang-Pu Sun. Optimal operating protocol to achieve efficiency at maximum power of heat engines. Physical Review E , 98(2):022133, 2018

    2018

  63. [71]

    Fast route to equilibration

    Roie Dann, Ander Tobalina, and Ronnie Kosloff. Fast route to equilibration. Physical Review A , 101(5):052102, 2020

    2020

  64. [72]

    Light-matter quantum otto engine in finite time

    G Alvarado Barrios, F Albarr \'a n-Arriagada, FJ Pe \ n a, E Solano, and JC Retamal. Light-matter quantum otto engine in finite time. arXiv preprint arXiv:2102.10559 , 2021

    2021 arXiv

  65. [73]

    Conditional expectation in an operator algebra

    Hisaharu Umegaki. Conditional expectation in an operator algebra. Tohoku Mathematical Journal, Second Series , 6(2-3):177--181, 1954

    1954

  66. [74]

    The role of relative entropy in quantum information theory

    Vlatko Vedral. The role of relative entropy in quantum information theory. Reviews of Modern Physics , 74(1):197, 2002

    2002

  67. [75]

    Quantum information theory

    Masahito Hayashi. Quantum information theory . Springer, 2017

    2017

  68. [76]

    Thermodynamics and fluctuations in finite-time quantum heat engines under reservoir squeezing

    Yang Xiao, Dehua Liu, Jizhou He, Lin Zhuang, Wu-Ming Liu, L-L Yan, and Jianhui Wang. Thermodynamics and fluctuations in finite-time quantum heat engines under reservoir squeezing. Physical Review Research , 5(4):043185, 2023

    2023

  69. [77]

    Occurrence of discontinuities in the performance of finite-time quantum otto cycles

    Yuanjian Zheng, Peter H \"a nggi, and Dario Poletti. Occurrence of discontinuities in the performance of finite-time quantum otto cycles. Physical Review E , 94(1):012137, 2016

    2016

Pith tools

Reviewed August 15, 2026 · model on record in the stance chip above.