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We transform the system/reservoir couplingmodel into a one-dimensional semi-infinite discrete chain through unitary transformation to simulate the open quantum systemnumerically with the help of time evolving block decimation (TEBD) algorithm.We apply themethod to study the dynamics of dissipative systems.We also generate the thermal state of amultimode bath using minimally entangled typical thermal state (METTS) algorithm, and investigate the impact of the thermal bath on an empty system. For both cases, we give an extensive analysis of the impact of the modeling and simulation parameters, and compare the numerics with the analytics.

Simulation of Matrix Product States For Dissipation and Thermalization Dynamics of Open Quantum Systems