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Entropy-based formulation of thermodynamics in arbitrary quantum evolution

Alipour, S ; Sharif University of Technology | 2022

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  1. Type of Document: Article
  2. DOI: 10.1103/PhysRevA.105.L040201
  3. Publisher: American Physical Society , 2022
  4. Abstract:
  5. Given the evolution of an arbitrary open quantum system, we formulate a general and unambiguous method to separate the internal energy change of the system into an entropy-related contribution and a part causing no entropy change, identified as heat and work, respectively. We also demonstrate that heat and work admit geometric and dynamical descriptions by developing a universal dynamical equation for the given trajectory of the system. The dissipative and coherent parts of this equation contribute exclusively to heat and work, where the specific role of a work contribution from a counterdiabatic drive is underlined. Next we define an expression for the irreversible entropy production of the system which does not have explicit dependence on the properties of the ambient environment; rather, it depends on a set of the system's observables excluding its Hamiltonian and is independent of internal energy change. We illustrate our results with three examples. © 2022 American Physical Society
  6. Keywords:
  7. Hamiltonians ; Quantum optics ; Dynamical equation ; Energy changes ; Entropy changes ; Entropy production ; Entropy-based ; Explicit dependences ; Internal energies ; Open quantum systems ; Property ; Quantum evolution ; Entropy
  8. Source: Physical Review A ; Volume 105, Issue 4 , 2022 ; 24699926 (ISSN)
  9. URL: https://journals.aps.org/pra/abstract/10.1103/PhysRevA.105.L040201