Iterative real-time path integral approach to nonequilibrium quantum transport

By M. Thorwart, S. Weiss, J. Eckel, R. Egger. 2008

139 citations recorded by the source corpus.

We have developed a numerical approach to compute real-time path integral expressions for quantum transport problems out of equilibrium. The scheme is based on a deterministic iterative summation of the path integral (ISPI) for the generating function of the nonequilibrium current. Self-energies due to the leads, being non-local in time, are fully taken into account within a finite memory time, thereby including non-Markovian effects, and numerical results are extrapolated both to vanishing (Trotter) time discretization and to infinite memory time. This extrapolation scheme converges except at very low temperatures, and the results are then numerically exact. The method is applied to nonequilibrium transport through an Anderson dot.

Subfields: Atomic and Molecular Physics, and Optics, Electrical and Electronic Engineering

View Paper: https://www.semanticscholar.org/paper/d088e393f7ae6f1fbde7123736641db696c6d936

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In Atomic and Molecular Physics, and Optics

In Electrical and Electronic Engineering

Citations in the corpus

Vibrations, quanta and biology (2013, methodology): “These include the quasi-adiabatic path integral approach [163–167] and the iterative summation of real-time path integrals [168] to name just two.”
Dynamics of non-Markovian open quantum systems (2015, methodology): “Other variants of iterative algorithms were developed to compute real-time path integral expressions for quantum transport problems out of equilibrium (Weiss et al., 2008).”