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

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