Generalized Quantum Fluctuation Theorem for Energy Exchange

• URL: http://arxiv.org/abs/2401.15533v2
• Date: Wed, 31 Jul 2024 03:14:37 GMT
• Title: Generalized Quantum Fluctuation Theorem for Energy Exchange
• Authors: Wei Wu, Jun-Hong An,
• Abstract summary: The nonequilibrium fluctuation relation is a cornerstone of quantum thermodynamics. The Jarzynski-W'ojcik fluctuation theorem is recovered in the weak-coupling limit. We find the average energy exchange exhibits rich nonequilibrium characteristics when different numbers of system-bath bound states are formed.
• Score: 3.9826692712219467
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: The nonequilibrium fluctuation relation is a cornerstone of quantum thermodynamics. It is widely believed that the system-bath heat exchange obeys the famous Jarzynski-W\'{o}jcik fluctuation theorem. However, this theorem is established in the Born-Markovian approximation under the weak-coupling condition. Via studying the energy exchange between a harmonic oscillator and its coupled bath in the non-Markovian dynamics, we establish a generalized quantum fluctuation theorem for energy exchange being valid for arbitrary coupling strength. The Jarzynski-W\'{o}jcik fluctuation theorem is recovered in the weak-coupling limit. We also find the average energy exchange exhibits rich nonequilibrium characteristics when different numbers of system-bath bound states are formed, which suggests a useful way to control the quantum heat. Deepening our understanding of the fluctuation relation in quantum thermodynamics, our result lays the foundation to design high-efficiency quantum heat engines.

Related papers

• Quantum Effects on the Synchronization Dynamics of the Kuramoto Model [62.997667081978825]
  We show that quantum fluctuations hinder the emergence of synchronization, albeit not entirely suppressing it. We derive an analytical expression for the critical coupling, highlighting its dependence on the model parameters.
  arXiv  Detail & Related papers  (2023-06-16T16:41:16Z)
• Thermodynamics of adiabatic quantum pumping in quantum dots [50.24983453990065]
  We consider adiabatic quantum pumping through a resonant level model, a single-level quantum dot connected to two fermionic leads. We develop a self-contained thermodynamic description of this model accounting for the variation of the energy level of the dot and the tunnelling rates with the thermal baths.
  arXiv  Detail & Related papers  (2023-06-14T16:29:18Z)
• Exchange fluctuation theorems for strongly interacting quantum pumps [0.0]
  We derive a general quantum exchange fluctuation theorem for multipartite systems with arbitrary coupling strengths. The resulting second law of thermodynamics is tighter than the conventional Clausius inequality.
  arXiv  Detail & Related papers  (2022-09-26T18:01:59Z)
• Correspondence Between the Energy Equipartition Theorem in Classical Mechanics and its Phase-Space Formulation in Quantum Mechanics [62.997667081978825]
  In quantum mechanics, the energy per degree of freedom is not equally distributed. We show that in the high-temperature regime, the classical result is recovered.
  arXiv  Detail & Related papers  (2022-05-24T20:51:03Z)
• Gauge Quantum Thermodynamics of Time-local non-Markovian Evolutions [77.34726150561087]
  We deal with a generic time-local non-Markovian master equation. We define current and power to be process-dependent as in classical thermodynamics. Applying the theory to quantum thermal engines, we show that gauge transformations can change the machine efficiency.
  arXiv  Detail & Related papers  (2022-04-06T17:59:15Z)
• Energy fluctuation relations and repeated quantum measurements [4.724825031148412]
  We discuss the statistical description in non-equilibrium regimes of energy fluctuations originated by the interaction between a quantum system and a measurement apparatus. To properly quantify the information about energy fluctuations, both the exchanged heat probability density function and the corresponding characteristic function are derived and interpreted.
  arXiv  Detail & Related papers  (2022-02-05T16:20:13Z)
• Open-system approach to nonequilibrium quantum thermodynamics at arbitrary coupling [77.34726150561087]
  We develop a general theory describing the thermodynamical behavior of open quantum systems coupled to thermal baths. Our approach is based on the exact time-local quantum master equation for the reduced open system states.
  arXiv  Detail & Related papers  (2021-09-24T11:19:22Z)
• A quantum fluctuation theorem for any Lindblad master equation [0.0]
  We present a general quantum fluctuation theorem for the entropy production of an open quantum system coupled to multiple environments. The theorem is genuinely quantum, as it can be expressed in terms of conservation of a Hermitian operator. We show that the fluctuation theorem amounts to a relation between time-reversed dynamics of the global density matrix and a two-time correlation function.
  arXiv  Detail & Related papers  (2021-08-12T19:28:38Z)
• The origin of loose bound of the thermodynamic uncertainty relation in a dissipative two-level quantum system [0.0]
  thermodynamic uncertainty relations dictate the trade-off between dissipation and fluctuations of irreversible current. It has been noticed that the bound is less tight in open quantum processes. Our study offers a better understanding of how quantum nature affects the TUR bound.
  arXiv  Detail & Related papers  (2021-08-10T00:26:02Z)
• Probing eigenstate thermalization in quantum simulators via fluctuation-dissipation relations [77.34726150561087]
  The eigenstate thermalization hypothesis (ETH) offers a universal mechanism for the approach to equilibrium of closed quantum many-body systems. Here, we propose a theory-independent route to probe the full ETH in quantum simulators by observing the emergence of fluctuation-dissipation relations. Our work presents a theory-independent way to characterize thermalization in quantum simulators and paves the way to quantum simulate condensed matter pump-probe experiments.
  arXiv  Detail & Related papers  (2020-07-20T18:00:02Z)

This list is automatically generated from the titles and abstracts of the papers in this site.

This site does not guarantee the quality of this site (including all information) and is not responsible for any consequences.