Quasi-adiabatic path integral approach for quantum systems under the influence of multiple non-commuting fluctuations
- Quantum systems are typically subject to various environmental noise sources. Treating these environmental disturbances with a system-bath approach beyond weak coupling, one must refer to numerical methods as, for example, the numerically exact quasi-adiabatic path integral approach. This approach, however, cannot treat baths which couple to the system via operators, which do not commute. We extend the quasi-adiabatic path integral approach by determining the time discrete influence functional for such non-commuting fluctuations and by modifying the propagation scheme accordingly. We test the extended quasi-adiabatic path integral approach by determining the time evolution of a quantum two-level system coupled to two independent baths via non-commuting operators. We show that the convergent results can be obtained and agreement with the analytical weak coupling results is achieved in the respective limits.
Verfasserangaben: | Timo Palm, Peter Nalbach |
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DOI: | https://doi.org/10.1063/1.5051652 |
ISSN: | 1089-7690 |
Titel des übergeordneten Werkes (Englisch): | The journal of chemical physics - bridges a gap between journals of physics and journals of chemistry |
Dokumentart: | Wissenschaftlicher Artikel |
Sprache: | Englisch |
Datum der Veröffentlichung (online): | 21.12.2018 |
Jahr der Erstveröffentlichung: | 2018 |
Veröffentlichende Institution: | Westfälische Hochschule Gelsenkirchen Bocholt Recklinghausen |
Datum der Freischaltung: | 11.01.2019 |
Jahrgang: | 149 |
Ausgabe / Heft: | 21 |
Erste Seite: | 214103 |
Fachbereiche / Institute: | Fachbereiche / Wirtschaft und Informationstechnik Bocholt |
Lizenz (Deutsch): | Es gilt das Urheberrechtsgesetz |