Tensor network simulation of chains of non-Markovian open quantum systems

• URL: http://arxiv.org/abs/2201.05529v3
• Date: Mon, 10 Jul 2023 14:43:54 GMT
• Title: Tensor network simulation of chains of non-Markovian open quantum systems
• Authors: Gerald E. Fux, Dainius Kilda, Brendon W. Lovett, Jonathan Keeling
• Abstract summary: We introduce a general numerical method to compute dynamics and multi-time correlations of chains of quantum systems. We study the thermalization of individual spins of a short XYZ Heisenberg chain with strongly coupled thermal leads. Our results confirm the complete thermalization of the chain when coupled to a single bath, and reveal distinct effective temperatures in low, mid, and high frequency regimes.
• Score: 0.0
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: We introduce a general numerical method to compute dynamics and multi-time correlations of chains of quantum systems, where each system may couple strongly to a structured environment. The method combines the process tensor formalism for general (possibly non-Markovian) open quantum systems with time evolving block decimation (TEBD) for 1D chains. It systematically reduces the numerical complexity originating from system-environment correlations before integrating them into the full many-body problem, making a wide range of applications numerically feasible. We illustrate the power of this method by studying two examples. First, we study the thermalization of individual spins of a short XYZ Heisenberg chain with strongly coupled thermal leads. Our results confirm the complete thermalization of the chain when coupled to a single bath, and reveal distinct effective temperatures in low, mid, and high frequency regimes when the chain is placed between a hot and a cold bath. Second, we study the dynamics of diffusion in an longer XY chain, when each site couples to its own bath.

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