Geometry Of Quantum Evolution In A Nonequilibrium Environment | Awesome Quantum Computing Papers

Geometry Of Quantum Evolution In A Nonequilibrium Environment

Xiangji Cai, Ruixuan Meng, Yanhui Zhang, Lifei Wang Β· EPL (Europhysics Letters) Β· 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 evolution path becomes longer and reduces the dynamical decoherence and non-Markovian behavior in the quantum dynamics.

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