Volume 125, Number 3, February 2019
|Number of page(s)||7|
|Published online||11 March 2019|
Geometry of quantum evolution in a nonequilibrium environment
1 School of Science, Shandong Jianzhu University - Jinan 250101, China
2 School of Physics and Electronics, Shandong Normal University - Jinan 250014, China
3 School of Science, Shandong Jiaotong University - Jinan 250357, China
Received: 6 January 2019
Accepted: 4 February 2019
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.
PACS: 03.65.Vf – Phases: geometric; dynamic or topological / 03.65.Yz – Decoherence; open systems; quantum statistical methods / 05.40.-a – Fluctuation phenomena, random processes, noise, and Brownian motion
© EPLA, 2019
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