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.

9 pages, 9 figures

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• Iterative real-time path integral approach to nonequilibrium quantum transport
• Quantum thermal transport from classical molecular dynamics
• Non-Markovian dynamics of double quantum dot charge qubits due to acoustic phonons
• Periodic energy transport and entropy production in quantum electronics
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• The Hidden Phase of the Spin-Boson Model
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Cited by in corpus (10)

• Grassmann Time-Evolving Matrix Product Operators for Quantum Impurity Models
• Infinite Grassmann Time-Evolving Matrix Product Operator Method in the Steady State
• Pseudomode treatment of strong-coupling quantum thermodynamics
• Efficient construction of the Feynman-Vernon influence functional as matrix product states
• Grassmann time-evolving matrix product operators: An efficient numerical approach for fermionic path integral simulations
• Nonequilibrium quantum heat transport between structured environments
• Optimal qubit-mediated quantum heat transfer via noncommuting operators and strong coupling effects
• 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