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  • Open Access

Correlations Enable Lossless Ergotropy Transport

Rick P. A. Simon1,2,*, Janet Anders1,2, and Karen V. Hovhannisyan1,†

  • 1University of Potsdam, Institute of Physics and Astronomy, Karl-Liebknecht-Str. 24-25, 14476 Potsdam, Germany
  • 2Department of Physics and Astronomy, University of Exeter, Stocker Road, Exeter EX4 4QL, United Kingdom

  • *Contact author: rick.paul.axel.simon@gmail.com
  • †Contact author: karen.hovhannisyan@uni-potsdam.de
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Phys. Rev. Lett. 134, 010408 – Published 7 January, 2025

DOI: https://doi.org/10.1103/PhysRevLett.134.010408

Abstract

“A battery powers a device” can be read as “work stored in the battery is being transported to the device.” In quantum batteries, the total amount of stored work can be measured by ergotropy, which is the maximal work extractable by unitary operations. Transporting ergotropy is fundamentally different from transporting energy, and here we find that ergotropy can be gained even when the transmission channel is strictly energy conserving. We show that, generically, ergotropy transport is lossy whenever the two systems start uncorrelated. In contrast, for a large class of correlated initial states, transport can be gainful. Furthermore, a single correlated state can be used multiple times, allowing to transport without losses an order of magnitude more work than the battery capacity. Correlations are thus a useful resource for ergotropy transport, and we quantify how this resource is consumed during gainful transport.

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Phys. Rev. Lett. 134, 010408– Published 7 January, 2025
  • Received 25 June 2024
  • Accepted 21 October 2024
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