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
Hauptverfasser: Cai, Xiangji, Meng, Ruixuan, Zhang, Yanhui, Wang, Lifei
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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.
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03.65.Yz
05.40.-a
Evolution
Frequency shift
Time dependence
title Geometry of quantum evolution in a nonequilibrium environment
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