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Thermodynamics of quantum systems with multiple conserved quantities

Author

Listed:
  • Yelena Guryanova

    (H.H. Wills Physics Laboratory, University of Bristol)

  • Sandu Popescu

    (H.H. Wills Physics Laboratory, University of Bristol)

  • Anthony J. Short

    (H.H. Wills Physics Laboratory, University of Bristol)

  • Ralph Silva

    (H.H. Wills Physics Laboratory, University of Bristol
    Université de Genève)

  • Paul Skrzypczyk

    (H.H. Wills Physics Laboratory, University of Bristol)

Abstract

Recently, there has been much progress in understanding the thermodynamics of quantum systems, even for small individual systems. Most of this work has focused on the standard case where energy is the only conserved quantity. Here we consider a generalization of this work to deal with multiple conserved quantities. Each conserved quantity, which, importantly, need not commute with the rest, can be extracted and stored in its own battery. Unlike the standard case, in which the amount of extractable energy is constrained, here there is no limit on how much of any individual conserved quantity can be extracted. However, other conserved quantities must be supplied, and the second law constrains the combination of extractable quantities and the trade-offs between them. We present explicit protocols that allow us to perform arbitrarily good trade-offs and extract arbitrarily good combinations of conserved quantities from individual quantum systems.

Suggested Citation

  • Yelena Guryanova & Sandu Popescu & Anthony J. Short & Ralph Silva & Paul Skrzypczyk, 2016. "Thermodynamics of quantum systems with multiple conserved quantities," Nature Communications, Nature, vol. 7(1), pages 1-9, November.
  • Handle: RePEc:nat:natcom:v:7:y:2016:i:1:d:10.1038_ncomms12049
    DOI: 10.1038/ncomms12049
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    Cited by:

    1. Shayan Majidy, 2024. "Noncommuting charges can remove non-stationary quantum many-body dynamics," Nature Communications, Nature, vol. 15(1), pages 1-7, December.

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