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Iterative real-time path integral approach to nonequilibrium quantum transport
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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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“This and other non-equilibrium exchanges between system and environment can have considerable influence on the system dynamics [28-35], influence the direction of energy transfer [28] and may even lead to the generation of long-lived quantum coherence in the system [28, 36-38].”
From Vibrations, quanta and biology (2013) · cites this paper as [31]
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Metadata
- Authors
- Weiss, S., Eckel, J., Thorwart, M., & Egger, R.
- Affiliations
- Heinrich Heine University Düsseldorf (DE)
- Venue
- Physical Review B
- Publisher
- American Physical Society (APS)
- Published
- 2008-05-15
- Volume
- 77
- Issue
- 19
- ISSN
- 1098-0121 (ISSN-L)
- 1550-235X
- 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
- 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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