Heat Current in Non-Markovian Open Systems

Abstract

We generalize time-evolving matrix product operators method to nonequilibrium quantum transport problems. The nonequilibrium current is obtained via numerical differentiation of the generating functional which is represented as a tensor network. The approach is numerically exact and the non-Markovian effects are fully taken into account. In the transport process, a part of the heat that flows out from a bath flows into the system and other baths, and the rest is stored in the system-bath coupling part. We take the spin-boson model as a demonstration to show the details of this heat flowing and the establishment of a steady current between two baths.

arXiv comment9 pages, 9 figures

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• Grassmann time-evolving matrix product operators: An efficient numerical approach for fermionic path integral simulations
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• Infinite Grassmann time-evolving matrix product operator method for zero-temperature equilibrium quantum impurity problems
• Path Integral Formalism for Quantum Open Systems
• Quantum thermal rectification via state-dependent two-photon dissipation