Tensor network approach to thermalization in open quantum many-body systems

Hayate Nakano, Tatsuhiko Shirai, Takashi Mori

Research output: Contribution to journalArticlepeer-review

1 Citation (Scopus)


We investigate the relaxation dynamics of open nonintegrable quantum many-body systems in the thermodynamic limit by using a tensor-network formalism. We simulate the Lindblad quantum master equation (LQME) of infinite systems by making use of the uniform matrix product operators (MPO) as the ansatz of their density matrices. Furthermore, we establish a method to measure the thermodynamic equivalence between two states described by the uniform MPOs. We numerically show that when an initial state of the LQME is a thermal Gibbs state, a time evolved state is always indistinguishable from a Gibbs state with a time-dependent effective temperature in the weak-dissipation and thermodynamic limit.

Original languageEnglish
Article numberL040102
JournalPhysical Review E
Issue number4
Publication statusPublished - 2021 Apr

ASJC Scopus subject areas

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


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