Loughborough University
Browse

Entropy-based formulation of thermodynamics in arbitrary quantum evolution

Download (395.38 kB)
journal contribution
posted on 2022-05-09, 10:46 authored by S Alipour, AT Rezakhani, A Chenu, A del Campo, Tapio Ala-NissilaTapio Ala-Nissila

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.

Funding

Academy of Finland’s Center of Excellence QTF Project 31229

Sharif University of Technology’s Office of Vice President for Research

History

School

  • Science

Department

  • Mathematical Sciences

Published in

Physical Review A

Volume

105

Issue

4

Publisher

American Physical Society (APS)

Version

  • AM (Accepted Manuscript)

Rights holder

© American Physical Society

Publisher statement

This paper was accepted for publication in the journal Physical Review A and the definitive published version is available at https://doi.org/10.1103/physreva.105.l040201

Acceptance date

2022-03-09

Publication date

2022-04-18

Copyright date

2022

ISSN

2469-9926

eISSN

2469-9934

Language

  • en

Depositor

Prof Tapio Ala-Nissila. Deposit date: 5 May 2022

Article number

L040201

Usage metrics

    Loughborough Publications

    Categories

    No categories selected

    Exports

    RefWorks
    BibTeX
    Ref. manager
    Endnote
    DataCite
    NLM
    DC