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  • Letter
  • Open Access

Entropy of the quantum work distribution

Anthony Kiely1,2,*, Eoin O'Connor1,2, Thomás Fogarty3, Gabriel T. Landi4,5, and Steve Campbell1,2

  • 1School of Physics, University College Dublin, Belfield, Dublin 4, Ireland
  • 2Centre for Quantum Engineering, Science, and Technology, University College Dublin, Belfield, Dublin 4, Ireland
  • 3Quantum Systems Unit, Okinawa Institute of Science and Technology Graduate University, Onna, Okinawa 904-0495, Japan
  • 4Instituto de Física da Universidade de São Paulo, 05314-970 São Paulo, Brazil
  • 5School of Physics, Trinity College Dublin, College Green, Dublin 2, Ireland

  • *anthony.kiely@ucd.ie
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Phys. Rev. Research 5, L022010 – Published 11 April, 2023

DOI: https://doi.org/10.1103/PhysRevResearch.5.L022010

Abstract

The statistics of work done on a quantum system can be quantified by the two-point measurement scheme. We show how the Shannon entropy of the work distribution admits a general upper bound depending on the initial diagonal entropy, and a purely quantum term associated to the relative entropy of coherence. We demonstrate that this approach captures strong signatures of the underlying physics in a diverse range of settings. In particular, we carry out a detailed study of the Aubry-André-Harper model and show that the entropy of the work distribution conveys very clearly the physics of the localization transition, which is not apparent from the statistical moments.

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Outline

Information

Phys. Rev. Research 5, L022010– Published 11 April, 2023
  • Received 25 October 2022
  • Accepted 14 March 2023
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Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article's title, journal citation, and DOI.

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