Heat current in non-Markovian open systems

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