Asymmetric temperature equilibration with heat flow from cold to hot in a quantum thermodynamic system

• URL: http://arxiv.org/abs/2106.08508v2
• Date: Wed, 15 Sep 2021 23:11:41 GMT
• Title: Asymmetric temperature equilibration with heat flow from cold to hot in a quantum thermodynamic system
• Authors: Phillip C. Lotshaw and Michael E. Kellman
• Abstract summary: A model computational quantum thermodynamic network is constructed with two variable temperature baths coupled by a linker system. It is found in computational simulations that the baths come to "thermal equilibrium" at different bath energies and temperatures.
• Score: 0.0
• License: http://creativecommons.org/licenses/by-nc-nd/4.0/
• Abstract: A model computational quantum thermodynamic network is constructed with two variable temperature baths coupled by a linker system, with an asymmetry in the coupling of the linker to the two baths. It is found in computational simulations that the baths come to "thermal equilibrium" at different bath energies and temperatures. In a sense, heat is observed to flow from cold to hot. A description is given in which a recently defined quantum entropy $S^Q_{univ}$ for a pure state "universe" continues to increase after passing through the classical equilibrium point of equal temperatures, reaching a maximum at the asymmetric equilibrium. Thus, a second law account $\Delta S^Q_{univ} \ge 0$ holds for the asymmetric quantum process. In contrast, a von Neumann entropy description fails to uphold the entropy law, with a maximum near when the two temperatures are equal, then a decrease $\Delta S^{vN} < 0$ on the way to the asymmetric equilibrium.

Related papers

• Non-Abelian eigenstate thermalization hypothesis [58.720142291102135]
  The eigenstate thermalization hypothesis (ETH) explains why chaotic quantum many-body systems thermalize internally if the Hamiltonian lacks symmetries. We adapt the ETH to noncommuting charges by positing a non-Abelian ETH and invoking the approximate microcanonical subspace introduced in quantum thermodynamics.
  arXiv  Detail & Related papers  (2022-06-10T18:14:18Z)
• 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)
• Stochastic thermodynamics of a finite quantum system coupled to two heat baths [0.0]
  We consider a situation where an $N$-level system (NLS) is coupled successively to two heat baths with different temperatures. We conclude that heat and entropy is flowing from the hot bath to the cold one.
  arXiv  Detail & Related papers  (2021-08-05T18:40:47Z)
• Stochastic thermodynamics of a finite quantum system coupled to a heat bath [0.0]
  We find that heat and entropy is flowing from the hot bath to the cold NLS. The Clausius relation between increase of entropy and transfer of heat divided by a suitable temperature assumes the form of two inequalities.
  arXiv  Detail & Related papers  (2021-04-12T10:57:40Z)
• 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)
• Zeroth Law in Quantum Thermodynamics at Strong Coupling: `in Equilibrium', not `Equal Temperature' [0.0]
  We show that for thermodynamics at strong coupling they are inequivalent. Two systems can be in equilibrium and yet have different effective temperatures. This affirms that in equilibrium' is a valid and perhaps more fundamental notion which the zeroth law for quantum thermodynamics at strong coupling should be based on.
  arXiv  Detail & Related papers  (2020-12-31T13:54:43Z)
• Nonequilibrium Quantum Free Energy and Effective Temperature, Generating Functional and Influence Action [0.0]
  A formal derivation is provided by way of the generating functional in terms of the coarse-grained effective action and the influence action. The nonequilibrium thermodynamic functions we find here obey the familiar relation $mathcalF_textscs(t)=mathcalU_textscs(t)- T_textsceff (t),mathcalS_vN(t)$ it at any and all moments of time in the system's fully nonequilibrium evolution history.
  arXiv  Detail & Related papers  (2020-11-20T16:01:11Z)
• Relativistic Quantum Thermodynamics of Moving Systems [0.0]
  We analyse the thermodynamics of a quantum system in a trajectory of constant velocity that interacts with a static thermal bath. We derive the master equation for the reduced dynamics of the moving quantum system. A moving heat bath is physically equivalent to a mixture of heat baths at rest, each with a different temperature.
  arXiv  Detail & Related papers  (2020-06-22T15:18:55Z)
• 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.