Papers
Topics
Authors
Recent
Search
2000 character limit reached

Nonequilibrium thermodynamics and power generation in open quantum optomechanical systems

Published 20 Dec 2022 in cond-mat.stat-mech and quant-ph | (2212.10194v2)

Abstract: Cavity optomechanical systems are a paradigmatic setting for the conversion of electromagnetic energy into mechanical work. Experiments with atoms coupled to cavity modes are realized in nonequilibrium conditions, described by phenomenological models encoding non-thermal dissipative dynamics and falling outside the framework of weak system-bath couplings. This fact makes their interpretation as quantum engines, e.g., the derivation of a well-defined efficiency, quite challenging. Here, we present a consistent thermodynamic description of open quantum cavity-atom systems. Our approach takes advantage of their nonequilibrium nature and arrives at an energetic balance which is fully interpretable in terms of persistent dissipated heat currents. The interaction between atoms and cavity modes can further give rise to nonequilibrium phase transitions and emergent behavior and allows to assess the impact of collective many-body phenomena on the engine operation. To enable this, we define two thermodynamic limits related to a weak and to a strong optomechanical coupling, respectively. We illustrate our ideas focussing on a time-crystal engine and discuss power generation, energy-conversion efficiency, and emergence of metastable behavior in both limits.

Definition Search Book Streamline Icon: https://streamlinehq.com
References (49)
  1. R. Alicki, The quantum open system as a model of the heat engine, J. Phys. A: Math. Gen. 12, L103 (1979).
  2. R. Kosloff, A quantum mechanical open system as a model of a heat engine, The Journal of Chemical Physics 80, 1625 (1984).
  3. R. Kosloff, Quantum Thermodynamics: A Dynamical Viewpoint, Entropy 15, 2100 (2013).
  4. S. Deffner and S. Campbell, Quantum Thermodynamics: An introduction to the thermodynamics of quantum information (Morgan & Claypool Publishers, 2019).
  5. G. De Chiara, M. Paternostro, and G. M. Palma, Entanglement detection in hybrid optomechanical systems, Phys. Rev. A 83, 052324 (2011).
  6. C. Elouard and A. N. Jordan, Efficient quantum measurement engines, Phys. Rev. Lett. 120, 260601 (2018).
  7. T. Feldmann and R. Kosloff, Quantum four-stroke heat engine: Thermodynamic observables in a model with intrinsic friction, Phys. Rev. E 68, 016101 (2003).
  8. Y. Rezek and R. Kosloff, Irreversible performance of a quantum harmonic heat engine, New J. Phys. 8, 83 (2006).
  9. G. T. Landi and M. Paternostro, Irreversible entropy production: From classical to quantum, Rev. Mod. Phys. 93, 035008 (2021).
  10. A. Levy and R. Kosloff, The local approach to quantum transport may violate the second law of thermodynamics, Europhys. Lett. 107, 20004 (2014).
  11. F. Barra, The thermodynamic cost of driving quantum systems by their boundaries, Sci. Rep. 5, 14873 (2015).
  12. A. Hewgill, G. De Chiara, and A. Imparato, Quantum thermodynamically consistent local master equations, Phys. Rev. Research 3, 013165 (2021).
  13. W. Muschik, Phenomenological Non-Equilibrium Quantum Thermodynamics based on Modified von Neumann Equations, arXiv:2211.12558  (2022).
  14. J. T. Stockburger and T. Motz, Thermodynamic deficiencies of some simple Lindblad operators, Fortschr. Phys. 65, 1600067 (2017).
  15. R. Dann and R. Kosloff, Quantum thermo-dynamical construction for driven open quantum systems, Quantum 5, 590 (2021).
  16. É. Fodor, R. L. Jack, and M. E. Cates, Irreversibility and biased ensembles in active matter: Insights from stochastic thermodynamics, Annu. Rev. Condens. Matter Phys. 13, 215 (2022).
  17. É. Fodor and M. E. Cates, Active engines: Thermodynamics moves forward, Europhys. Lett. 134, 10003 (2021).
  18. A. Riera, C. Gogolin, and J. Eisert, Thermalization in Nature and on a Quantum Computer, Phys. Rev. Lett. 108, 080402 (2012).
  19. M. Aspelmeyer, T. J. Kippenberg, and F. Marquardt, Cavity optomechanics, Rev. Mod. Phys. 86, 1391 (2014).
  20. K. Zhang, F. Bariani, and P. Meystre, Quantum Optomechanical Heat Engine, Phys. Rev. Lett. 112, 150602 (2014a).
  21. K. Zhang, F. Bariani, and P. Meystre, Theory of an optomechanical quantum heat engine, Phys. Rev. A 90, 023819 (2014b).
  22. C. Elouard, M. Richard, and A. Auffèves, Reversible work extraction in a hybrid opto-mechanical system, New J. Phys. 17, 055018 (2015).
  23. D. Gelbwaser-Klimovsky and G. Kurizki, Work extraction from heat-powered quantized optomechanical setups, Sci. Rep. 5, 7809 (2015).
  24. A. Mari, A. Farace, and V. Giovannetti, Quantum optomechanical piston engines powered by heat, J. Phys. B: At. Mol. Opt. Phys. 48, 175501 (2015).
  25. F. Reif, Fundamentals of statistical and thermal physics (Waveland Press, 2009).
  26. W. Casteels, R. Fazio, and C. Ciuti, Critical dynamical properties of a first-order dissipative phase transition, Phys. Rev. A 95, 012128 (2017).
  27. H. Carmichael, Breakdown of photon blockade: A dissipative quantum phase transition in zero dimensions, Phys. Rev. X 5, 031028 (2015).
  28. F. Carollo, K. Brandner, and I. Lesanovsky, Nonequilibrium many-body quantum engine driven by time-translation symmetry breaking, Phys. Rev. Lett. 125, 240602 (2020a).
  29. F. Wilczek, Quantum time crystals, Phys. Rev. Lett. 109, 160401 (2012).
  30. B. Buča, J. Tindall, and D. Jaksch, Non-stationary coherent quantum many-body dynamics through dissipation, Nat. Commun. 10, 1730 (2019).
  31. K. Sacha and J. Zakrzewski, Time crystals: a review, Rep. Prog. Phys. 81, 016401 (2017).
  32. 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).
  33. P. Bruno, Impossibility of Spontaneously Rotating Time Crystals: A No-Go Theorem, Phys. Rev. Lett. 111, 070402 (2013).
  34. H. Watanabe and M. Oshikawa, Absence of quantum time crystals, Phys. Rev. Lett. 114, 251603 (2015).
  35. E. T. Jaynes and F. W. Cummings, Comparison of quantum and semiclassical radiation theories with application to the beam maser, Proc. IEEE 51, 89 (1963).
  36. K. Hepp and E. H. Lieb, On the superradiant phase transition for molecules in a quantized radiation field: the Dicke maser model, Ann. Phys. 76, 360 (1973a).
  37. K. Hepp and E. H. Lieb, Equilibrium statistical mechanics of matter interacting with the quantized radiation field, Phys. Rev. A 8, 2517 (1973b).
  38. H.-P. Breuer and F. Petruccione, The theory of open quantum systems (Oxford University Press on Demand, 2002).
  39. T. Tomé and M. J. De Oliveira, Stochastic dynamics and irreversibility (Springer, 2015).
  40. U. Seifert, Stochastic thermodynamics, fluctuation theorems and molecular machines, Rep. Prog. Phys. 75, 126001 (2012).
  41. F. Marquardt, J. Harris, and S. M. Girvin, Dynamical multistability induced by radiation pressure in high-finesse micromechanical optical cavities, Phys. Rev. Lett. 96, 103901 (2006).
  42. S. Seah, S. Nimmrichter, and V. Scarani, Work production of quantum rotor engines, New J. Phys. 20, 043045 (2018).
  43. K. Brandner and U. Seifert, Periodic thermodynamics of open quantum systems, Phys. Rev. E 93, 062134 (2016).
  44. H. Spohn, Entropy production for quantum dynamical semigroups, J. Math. Phys. 19, 1227 (1978).
  45. V. Vedral, The role of relative entropy in quantum information theory, Rev. Mod. Phys. 74, 197 (2002).
  46. A. Tomadin and R. Fazio, Many-body phenomena in QED-cavity arrays, J. Opt. Soc. Am. B 27, A130 (2010).
  47. F. Carollo and I. Lesanovsky, Exact solution of a boundary time-crystal phase transition: time-translation symmetry breaking and non-Markovian dynamics of correlations, Phys. Rev. A 105, L040202 (2022).
  48. M. Maldovan and E. L. Thomas, Simultaneous localization of photons and phonons in two-dimensional periodic structures, Appl. Phys. Lett. 88, 251907 (2006).
  49. A. Camacho-Guardian and N. R. Cooper, Moiré-Induced Optical Nonlinearities: Single- and Multiphoton Resonances, Phys. Rev. Lett. 128, 207401 (2022).
Citations (8)

Summary

No one has generated a summary of this paper yet.

Paper to Video (Beta)

No one has generated a video about this paper yet.

Whiteboard

No one has generated a whiteboard explanation for this paper yet.

Open Problems

We haven't generated a list of open problems mentioned in this paper yet.

Continue Learning

We haven't generated follow-up questions for this paper yet.

Collections

Sign up for free to add this paper to one or more collections.