Typical pure nonequilibrium steady states and irreversibility for quantum transport

Takaaki Monnai, Kazuya Yuasa

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    Abstract

    It is known that each single typical pure state in an energy shell of a large isolated quantum system well represents a thermal equilibrium state of the system. We show that such typicality holds also for nonequilibrium steady states (NESS's). We consider a small quantum system coupled to multiple infinite reservoirs. In the long run, the total system reaches a unique NESS. We identify a large Hilbert space from which pure states of the system are to be sampled randomly and show that the typical pure states well describe the NESS. We also point out that the irreversible relaxation to the unique NESS is important to the typicality of the pure NESS's.

    Original languageEnglish
    Article number012146
    JournalPhysical Review E - Statistical, Nonlinear, and Soft Matter Physics
    Volume94
    Issue number1
    DOIs
    Publication statusPublished - 2016 Jul 29

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    ASJC Scopus subject areas

    • Condensed Matter Physics
    • Statistical and Nonlinear Physics
    • Statistics and Probability

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