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Real-Time Path Integral Approach to Nonequilibrium Many-Body Quantum Systems
Open accessAbstract
A real-time path-integral Monte Carlo approach is developed to study the dynamics in a many-body quantum system coupled to a phonon background until reaching a nonequilibrium stationary state. The approach is based on augmenting an exact reduced equation for the evolution of the system in the interaction picture which is amenable to an efficient path integral (worldline) Monte Carlo approach. Results obtained for a model of inelastic tunneling spectroscopy reveal the applicability of the approach to a wide range of physically important regimes, including high (classical) and low (quantum) temperatures, and weak (perturbative) and strong electron-phonon couplings.
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Cites
Dynamics of the dissipative two-state system
Leggett, A. J., Chakravarty, S., Dorsey, A. T., Fisher, M. P. A., Garg, A., & Zwerger, W. (1987) · Reviews of Modern Physics · doi:10.1103/revmodphys.59.1 · Cited by 5,109
Makarov, D. E., & Makri, N. (1994) · Chemical Physics Letters · doi:10.1016/0009-2614(94)00275-4 · Cited by 328
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Dynamics of non-Markovian open quantum systems
de Vega, I., & Alonso, D. (2017) · Reviews of Modern Physics · doi:10.1103/revmodphys.89.015001 · Cited by 1,234
Nonequilibrium dynamical mean-field theory and its applications
Aoki, H., Tsuji, N., Eckstein, M., Kollar, M., Oka, T., & Werner, P. (2014) · Reviews of Modern Physics · doi:10.1103/revmodphys.86.779 · Cited by 773
Diagrammatic Monte Carlo simulation of nonequilibrium systems
Werner, P., Oka, T., & Millis, A. J. (2009) · Physical Review B · doi:10.1103/physrevb.79.035320 · Cited by 289
The uniform electron gas at warm dense matter conditions
Dornheim, T., Groth, S., & Bonitz, M. (2018) · Physics Reports · doi:10.1016/j.physrep.2018.04.001 · Cited by 264
Taming the Dynamical Sign Problem in Real-Time Evolution of Quantum Many-Body Problems
Cohen, G., Gull, E., Reichman, D. R., & Millis, A. J. (2015) · Physical Review Letters · doi:10.1103/physrevlett.115.266802 · Cited by 228
Metadata
- Authors
- Mühlbacher, L., & Rabani, E.
- Venue
- Physical Review Letters
- Publisher
- American Physical Society (APS)
- Published
- 2008-05-01
- Volume
- 100
- Issue
- 17
- Pages
- 176403-176403
- ISSN
- 0031-9007 (ISSN-L)
- 1079-7114
- OpenAlex
- W2101080237
- Cited by
- 349
- References
- 2
- FWCI
- 9.47
- Type
- journal article
- Language
- en
- Open access
- green
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Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).
Semantic Scholar’s data is described in: Kinney, R., et al. (2023). The Semantic Scholar Open Data Platform. arXiv:2301.10140.
