Heat current in non-Markovian open systems
Ruofan Chen
Abstract
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.
Topics & Concepts
PhysicsNon-equilibrium thermodynamicsCurrent (fluid)Heat currentMarkov processCoupling (piping)Statistical physicsTensor (intrinsic definition)BosonProduct (mathematics)QuantumTensor productMatrix (chemical analysis)Open system (computing)MechanicsQuantum mechanicsHeat transferThermodynamicsMathematicsStatisticsArtPure mathematicsComposite materialVisual artsGeometryArchitectureEngineeringMechanical engineeringMaterials scienceQuantum and electron transport phenomenaAdvanced Thermodynamics and Statistical MechanicsQuantum many-body systems