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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.

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Metadaten
Author:Timo Palm, Peter Nalbach
DOI:https://doi.org/10.1063/1.5051652
ISSN:1089-7690
Parent Title (English):The journal of chemical physics - bridges a gap between journals of physics and journals of chemistry
Document Type:Article
Language:English
Date of Publication (online):2018/12/21
Year of first Publication:2018
Publishing Institution:Westfälische Hochschule Gelsenkirchen Bocholt Recklinghausen
Release Date:2019/01/11
Volume:149
Issue:21
First Page:214103
Departments / faculties:Fachbereiche / Wirtschaft und Informationstechnik Bocholt
Licence (German):License LogoEs gilt das Urheberrechtsgesetz

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