English

Iterative path integral summation for nonequilibrium quantum transport

Mesoscale and Nanoscale Physics 2015-06-15 v1 Strongly Correlated Electrons

Abstract

We have developed a numerically exact 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 nonequilibrium observables of interest, e.g., the charge current or dynamical quantities of the central part. Self-energies due to the leads, being nonlocal in time, are fully taken into account within a finite memory time, thereby including non-Markovian effects. Numerical results are extra-polated first to vanishing (Trotter) time discretization and, second, to infinite memory time...

Keywords

Cite

@article{arxiv.1304.6919,
  title  = {Iterative path integral summation for nonequilibrium quantum transport},
  author = {S. Weiss and R. Hützen and D. Becker and J. Eckel and R. Egger and M. Thorwart},
  journal= {arXiv preprint arXiv:1304.6919},
  year   = {2015}
}

Comments

submitted to Special issue in physica status solidi (b) Quantum transport at the molecular scale

R2 v1 2026-06-22T00:06:22.489Z