Measurability of nonequilibrium thermodynamics in terms of the Hamiltonian of mean force

• URL: http://arxiv.org/abs/2001.08917v2
• Date: Fri, 8 May 2020 10:49:59 GMT
• Title: Measurability of nonequilibrium thermodynamics in terms of the Hamiltonian of mean force
• Authors: Philipp Strasberg and Massimiliano Esposito
• Abstract summary: We show that the Hamiltonian of mean force can be inferred from measurements on the system alone. We refute a key criticism expressed in Phys. Rev. E 94, 022143 and arXiv:1911.11660.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: The nonequilibrium thermodynamics of an open (classical or quantum) system in strong contact with a single heat bath can be conveniently described in terms of the Hamiltonian of mean force. However, the conventional formulation is limited by the necessity to measure differences in equilibrium properties of the system-bath composite. We make use of the freedom involved in defining thermodynamic quantities, which leaves the thermodynamics unchanged, to show that the Hamiltonian of mean force can be inferred from measurements on the system alone, up to that irrelevant freedom. In doing so, we refute a key criticism expressed in Phys. Rev. E 94, 022143 and arXiv:1911.11660. We also discuss the remaining part of the criticism.

Related papers

• 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)
• Reply to "Comment on `Extending the laws of thermodynamics for arbitrary autonomous quantum systems'" [0.0]
  In his Comment [1], Philip Strasberg (PS) argues that the framework we have presented does not recover known results of macroscopic textbook thermodynamics. Here, we show that such apparent contradictions disappear when the necessary assumptions the aforementioned known results pre-suppose are applied. The ability to relax those assumptions is precisely a motivation of our framework, which can explore the capacity of quantum systems to exchange work and heat even at scales not captured by textbook thermodynamics.
  arXiv  Detail & Related papers  (2023-09-15T08:36:42Z)
• 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)
• Thermodynamics as Combinatorics: A Toy Theory [0.0]
  We discuss a simple toy model which allows, in a natural way, for deriving central facts from thermodynamics. Our viewpoint represents thermodynamic systems as binary strings, and it links their temperature to their Hamming weight.
  arXiv  Detail & Related papers  (2022-05-16T12:48:27Z)
• 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)
• 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)
• The problem of engines in statistical physics [62.997667081978825]
  Engines are open systems that can generate work cyclically, at the expense of an external disequilibrium. Recent advances in the theory of open quantum systems point to a more realistic description of autonomous engines. We show how the external loading force and the thermal noise may be incorporated into the relevant equations of motion.
  arXiv  Detail & Related papers  (2021-08-17T03:59:09Z)
• The tight Second Law inequality for coherent quantum systems and finite-size heat baths [0.0]
  We propose a new form of the Second Law inequality that defines a tight bound for extractable work from the non-equilibrium quantum state. In particular, we derive a formula for the locked energy in coherences, i.e. a quantum contribution that cannot be extracted as a work, and we find out its thermodynamic limit.
  arXiv  Detail & Related papers  (2020-08-12T12:54:40Z)
• Nonequilibrium Thermodynamics of Quantum Friction [0.0]
  We show how a simple rule, such as the net flow of energy in and out of a moving atom under nonequilibrium steady state condition, can expose the shortcomings of many popular theories of quantum friction.
  arXiv  Detail & Related papers  (2020-07-09T14:59:57Z)
• Temperature of a finite-dimensional quantum system [68.8204255655161]
  A general expression for the temperature of a finite-dimensional quantum system is deduced from thermodynamic arguments. Explicit formulas for the temperature of two and three-dimensional quantum systems are presented.
  arXiv  Detail & Related papers  (2020-05-01T07:47:50Z)
• 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.