Nonadiabatic evolution and thermodynamics for a boundary-driven system with a weak intrasubsystem interaction

• URL: http://arxiv.org/abs/2404.14081v1
• Date: Mon, 22 Apr 2024 10:55:43 GMT
• Title: Nonadiabatic evolution and thermodynamics for a boundary-driven system with a weak intrasubsystem interaction
• Authors: Chao Jiang, Lei Shao,
• Abstract summary: We derive a time-dependent master equation for an externally driven system. We investigate the fundamental reason underlying the thermodynamic inconsistency generated by the local and nonadiabatic master equations.
• Score: 2.6644757695526957
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: We derive a time-dependent master equation for an externally driven system whose subsystems weakly interact with each other and locally connect to the thermal reservoirs. The nonadiabatic equation obtained here can be viewed as a generalization of the local master equation, which has already been extensively used in describing the dynamics of a boundary-driven system. In addition, we investigate the fundamental reason underlying the thermodynamic inconsistency generated by the local and nonadiabatic master equations. We fnd that these two equations are consistent with the second law of thermodynamics when the system is far away from the steady state, while they give rise to the contradiction at the steady state. Finally, we numerically confrm our results by considering a toy model consisting of two qubits and two local heat baths.

Related papers

• Thermodynamic Roles of Quantum Environments: From Heat Baths to Work Reservoirs [49.1574468325115]
  Environments in quantum thermodynamics usually take the role of heat baths. We show that within the same model, the environment can take three different thermodynamic roles. The exact role of the environment is determined by the strength and structure of the coupling.
  arXiv  Detail & Related papers  (2024-08-01T15:39:06Z)
• Heat currents in qubit systems [0.0]
  We present explicit expressions for the heat currents in agreement with the second law of thermodynamics. We also discuss issues regarding the possible presence of coherences in the steady state.
  arXiv  Detail & Related papers  (2023-01-31T10:41:43Z)
• Thermodynamically consistent master equation based on subsystem eigenstates [1.6574413179773761]
  We develop an alternative local master equation by virtue of similar approximations used in deriving the traditional Gorini-Kossakowski-Lindblad-Sudarshan master equation. Our results show that violations of thermodynamic laws will be avoided after correcting intersubsystem interactions.
  arXiv  Detail & Related papers  (2022-05-20T14:34:35Z)
• Fast Thermalization from the Eigenstate Thermalization Hypothesis [69.68937033275746]
  Eigenstate Thermalization Hypothesis (ETH) has played a major role in understanding thermodynamic phenomena in closed quantum systems. This paper establishes a rigorous link between ETH and fast thermalization to the global Gibbs state. Our results explain finite-time thermalization in chaotic open quantum systems.
  arXiv  Detail & Related papers  (2021-12-14T18:48:31Z)
• 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)
• Geometric Heat Pump: Controlling Thermal Transport with Time-dependent Modulations [21.544545839943446]
  We review the emergence and development of this so called geometric heat pump'' The generalization from the adiabatic to the non-adiabatic regime and the application of control theory are also discussed.
  arXiv  Detail & Related papers  (2021-06-25T14:24:42Z)
• First Law of Quantum Thermodynamics in a Driven Open Two-Level System [0.0]
  We show how contributions originally assigned to dissipation in the Lindblad equation can become coherent part assigned to work. Our results illustrate the trajectory-dependent character of heat and work, and how contributions originally assigned to dissipation can become coherent part assigned to work.
  arXiv  Detail & Related papers  (2021-04-21T18:00:02Z)
• Qubit thermodynamics far from equilibrium: two perspectives about the nature of heat and work in the quantum regime [68.8204255655161]
  We develop an alternative theoretical framework for the thermodynamic analysis of two-level systems. We observe the appearance of a new term of work, which represents the energy cost of rotating the Bloch vector in presence of the external field that defines the local Hamiltonian. In order to illustrate our findings we study, from both perspectives, matter-radiation interaction processes for two different systems.
  arXiv  Detail & Related papers  (2021-03-16T09:31:20Z)
• Open system dynamics from thermodynamic compatibility [0.0]
  In particular, strict energy conservation between the system and environment implies that the dissipative dynamical map commutes with the unitary system propagator. We use spectral analysis to prove the general form of the ensuing master equation. The obtained formal structure can be employed to test the compatibility of approximate derivations with thermodynamics.
  arXiv  Detail & Related papers  (2020-11-06T18:23:52Z)
• Assessing the role of initial correlations in the entropy production rate for non-equilibrium harmonic dynamics [0.0]
  We shed light on the relation between correlations, initial preparation of the system and non-Markovianity. We show that the global purity of the initial state of the system influences the behaviour of the entropy production rate.
  arXiv  Detail & Related papers  (2020-04-22T17:29:43Z)
• Out-of-equilibrium quantum thermodynamics in the Bloch sphere: temperature and internal entropy production [68.8204255655161]
  An explicit expression for the temperature of an open two-level quantum system is obtained. This temperature coincides with the environment temperature if the system reaches thermal equilibrium with a heat reservoir. We show that within this theoretical framework the total entropy production can be partitioned into two contributions.
  arXiv  Detail & Related papers  (2020-04-09T23:06:43Z)

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.