Typical pure nonequilibrium steady states and irreversibility for quantum transport

Takaaki Monnai, Kazuya Yuasa

Research output: Contribution to journalArticlepeer-review

3 Citations (Scopus)


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
Issue number1
Publication statusPublished - 2016 Jul 29

ASJC Scopus subject areas

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


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