Strong Coupling Quantum Thermodynamics with Renormalized Hamiltonian and Temperature

• URL: http://arxiv.org/abs/2010.01828v1
• Date: Mon, 5 Oct 2020 07:34:26 GMT
• Title: Strong Coupling Quantum Thermodynamics with Renormalized Hamiltonian and Temperature
• Authors: Wei-Ming Huang and Wei-Min Zhang
• Abstract summary: We develop strong coupling quantum thermodynamics based on the solution of the exact master equation. We find that both the Hamiltonian and the temperature must be renormalized due to the system-reservoir couplings. With the renormalized Hamiltonian and temperature, the exact steady state of open quantum systems can be expressed as a standard Gibbs state.
• Score: 2.542198147027801
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: We develop the strong coupling quantum thermodynamics based on the solution of the exact master equation. We find that both the Hamiltonian and the temperature must be renormalized due to the system-reservoir couplings. With the renormalized Hamiltonian and temperature, the exact steady state of open quantum systems can be expressed as a standard Gibbs state. The exact steady-state particle distributions obey the Bose-Einstein distribution or the Fermi-Dirac distribution only for the renormalized energy and temperature. In this formulation, heat and work are quantum mechanically defined, from which we compute the specific heat and examine the consistency of the theory. Consequently, thermodynamic laws and statistical mechanics emerge naturally and rigorously from quantum evolution of open systems.

Related papers

• Quantum thermalization of translation-invariant systems at high temperature [0.0]
  Quantum thermalization describes how closed quantum systems can effectively reach thermal equilibrium. Despite its ubiquity and conceptual significance, a complete proof of quantum thermalization has remained elusive for several decades. We prove that quantum thermalization must occur in any qubit system with local interactions satisfying three conditions.
  arXiv  Detail & Related papers  (2024-09-11T18:00:01Z)
• Quantum thermodynamics of nonequilibrium processes in lattice gauge theories [0.0]
  We show how to define thermodynamic quantities using strong-coupling thermodynamics. Our definitions suit instantaneous quenches, simple nonequilibrium processes undertaken in quantum simulators.
  arXiv  Detail & Related papers  (2024-04-03T18:00:03Z)
• On the First Law of Thermodynamics in Time-Dependent Open Quantum Systems [0.0]
  How to rigorously define thermodynamic quantities such as heat, work, and internal energy in open quantum systems driven far from equilibrium remains a significant open question in quantum thermodynamics. Heat is a quantity whose fundamental definition applies only to processes in systems infinitesimally perturbed from equilibrium. Heat is accounted for carefully in strongly-driven systems.
  arXiv  Detail & Related papers  (2022-08-13T02:26:31Z)
• Nonperturbative renormalization of quantum thermodynamics from weak to strong couplings [2.542198147027801]
  By solving the exact master equation of open quantum systems, we formulate the quantum thermodynamics from weak to strong couplings. We find that the exact solution of the reduced density matrix of these systems approaches a Gibbs-type state in the steady-state limit for both the weak and strong system-reservoir coupling strengths.
  arXiv  Detail & Related papers  (2022-05-17T06:25:03Z)
• 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)
• Maximum entropy quantum state distributions [58.720142291102135]
  We go beyond traditional thermodynamics and condition on the full distribution of the conserved quantities. The result are quantum state distributions whose deviations from thermal states' get more pronounced in the limit of wide input distributions.
  arXiv  Detail & Related papers  (2022-03-23T17:42:34Z)
• 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)
• Taking the temperature of a pure quantum state [55.41644538483948]
  Temperature is a deceptively simple concept that still raises deep questions at the forefront of quantum physics research. We propose a scheme to measure the temperature of such pure states through quantum interference.
  arXiv  Detail & Related papers  (2021-03-30T18:18:37Z)
• Evolution of a Non-Hermitian Quantum Single-Molecule Junction at Constant Temperature [62.997667081978825]
  We present a theory for describing non-Hermitian quantum systems embedded in constant-temperature environments. We find that the combined action of probability losses and thermal fluctuations assists quantum transport through the molecular junction.
  arXiv  Detail & Related papers  (2021-01-21T14:33:34Z)
• Quantum corrections to the entropy in a driven quantum Brownian motion model [2.28438857884398]
  We study the von Neumann entropy of a particle undergoing quantum Brownian motion. Our results bring important insights to the understanding of entropy in open quantum systems.
  arXiv  Detail & Related papers  (2020-08-05T14:13:39Z)

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.