Cited by 211Quantum and electron transport phenomenaQuantum chaos and dynamical systemsQuantum many-body systems

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Iterative real-time path integral approach to nonequilibrium quantum transport

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Weiss, S., Eckel, J., Thorwart, M., Egger, R.·2008·Physical Review B

DOI 10.1103/physrevb.77.195316

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Abstract

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 for the generating function of the nonequilibrium current. 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, 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.

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Erpenbeck, A., Gull, E., & Cohen, G. (2021) · Physical review. B./Physical review. B · doi:10.1103/physrevb.103.125431 · Cited by 30

Authors: Weiss, S., Eckel, J., Thorwart, M., & Egger, R.
Affiliations: Heinrich Heine University Düsseldorf (DE)
ORCID: Weiss, S.
Thorwart, M.
Egger, R.
Venue: Physical Review B
Publisher: American Physical Society (APS)
Published: 2008-05-15
Volume: 77
Issue: 19
ISSN: 1098-0121 (ISSN-L)
1550-235X
DOI: 10.1103/physrevb.77.195316
OpenAlex: W1983016196
Cited by: 211
References: 74
Citations by year: 2026: 4 · 2025: 4 · 2024: 4 · 2023: 8 · 2022: 11 · 2021: 6 · 2020: 13 · 2019: 9 · 2018: 10 · 2017: 7 · 2016: 10 · 2015: 14 · 2014: 12 · 2013: 24 · 2012: 15
FWCI: 11.61
Type: journal article
Language: en
Open access: green
arxiv.org
Licence: link.aps.org/licenses/aps-default-license (vor)
Locations: Physical Review B (publishedVersion)
arXiv (Cornell University) (publishedVersion)
arXiv (Cornell University)
Funders: Deutsche Forschungsgemeinschaft
Topics: Physical Sciences › Physics and Astronomy › Condensed Matter Physics › Quantum and electron transport phenomena
Physical Sciences › Physics and Astronomy › Statistical and Nonlinear Physics › Quantum chaos and dynamical systems
Physical Sciences › Physics and Astronomy › Atomic and Molecular Physics, and Optics › Quantum many-body systems
Keywords: nonequilibrium quantum transport, real-time path integral, self-energy, non-Markovian effects

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Iterative real-time path integral approach to nonequilibrium quantum transport

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