Thermodynamic length and work optimization for Gaussian quantum states

Mohammad Mehboudi and Harry J. D. Miller
Phys. Rev. A 105, 062434 – Published 21 June 2022

Abstract

Constructing optimal thermodynamic processes in quantum systems relies on managing the balance between the average excess work and its stochastic fluctuations. Recently it has been shown that two different quantum generalizations of thermodynamic length can be utilized to determine protocols with either minimal excess work or minimal work variance. These lengths measure the distance between points on a manifold of control parameters, and optimal protocols are achieved by following the relevant geodesic paths given some fixed boundary conditions. Here we explore this problem in the context of Gaussian quantum states that are weakly coupled to an environment and derive general expressions for these two forms of thermodynamic length. We then use this to compute optimal thermodynamic protocols for various examples of externally driven Gaussian systems with multiple control parameters.

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  • Received 31 January 2022
  • Accepted 16 May 2022

DOI:https://doi.org/10.1103/PhysRevA.105.062434

©2022 American Physical Society

Physics Subject Headings (PhySH)

Quantum Information, Science & TechnologyStatistical Physics & Thermodynamics

Authors & Affiliations

Mohammad Mehboudi1 and Harry J. D. Miller2

  • 1Département de Physique Appliquée, Université de Genève, 1205 Genève, Switzerland
  • 2Department of Physics and Astronomy, The University of Manchester, Manchester M13 9PL, England, United Kingdom

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Issue

Vol. 105, Iss. 6 — June 2022

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