arXiv:1912.01939 · Physical Review A

Entropy-based formulation of thermodynamics in arbitrary quantum evolution

S. Alipour, A. T. Rezakhani, Aurélia Chenu, Adolfo del Campo, Tapio Ala-Nissilä

Published Apr 18, 2022• 51 citations

Abstract

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.

DOI: 10.1103/physreva.105.l040201

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