Typical pure nonequilibrium steady states and irreversibility for quantum transport.

  title={Typical pure nonequilibrium steady states and irreversibility for quantum transport.},
  author={Takaaki Monnai and Kazuya Yuasa},
  journal={Physical review. E},
  volume={94 1-1},
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… 

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