Thermalization in open many-body systems based on eigenstate thermalization hypothesis.

@article{Shirai2020ThermalizationIO,
  title={Thermalization in open many-body systems based on eigenstate thermalization hypothesis.},
  author={Tatsuhiko Shirai and Takashi Mori},
  journal={Physical review. E},
  year={2020},
  volume={101 4-1},
  pages={
          042116
        }
}
We investigate steady states of macroscopic quantum systems under dissipation not obeying the detailed balance condition. We argue that the Gibbs state at an effective temperature gives a good description of the steady state provided that the system Hamiltonian obeys the eigenstate thermalization hypothesis (ETH) and the perturbation theory in the weak system-environment coupling is valid in the thermodynamic limit. We derive a criterion to guarantee the validity of the perturbation theory… 

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