Geometry of quantum evolution in a nonequilibrium environment
We theoretically study the geometric effect of quantum dynamical evolution in the presence of a nonequilibrium noisy environment. We derive the expression of the time-dependent geometric phase in terms of the dynamical evolution and the overlap between the time evolved state and initial state. It is...
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Veröffentlicht in: | Europhysics letters 2019-02, Vol.125 (3), p.30007 |
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creator | Cai, Xiangji Meng, Ruixuan Zhang, Yanhui Wang, Lifei |
description | We theoretically study the geometric effect of quantum dynamical evolution in the presence of a nonequilibrium noisy environment. We derive the expression of the time-dependent geometric phase in terms of the dynamical evolution and the overlap between the time evolved state and initial state. It is shown that the frequency shift induced by the environmental nonequilibrium feature plays a crucial role in the geometric phase and evolution path of the quantum dynamics. The nonequilibrium feature of the environment makes the length of the evolution path become longer and reduces the dynamical decoherence and non-Markovian behavior in the quantum dynamics. |
doi_str_mv | 10.1209/0295-5075/125/30007 |
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We derive the expression of the time-dependent geometric phase in terms of the dynamical evolution and the overlap between the time evolved state and initial state. It is shown that the frequency shift induced by the environmental nonequilibrium feature plays a crucial role in the geometric phase and evolution path of the quantum dynamics. 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subjects | 03.65.Vf 03.65.Yz 05.40.-a Evolution Frequency shift Time dependence |
title | Geometry of quantum evolution in a nonequilibrium environment |
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