Geometry of quantum evolution in a nonequilibrium environment
Quantum Physics
2019-03-12 v2
Abstract
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.
Cite
@article{arxiv.1902.01528,
title = {Geometry of quantum evolution in a nonequilibrium environment},
author = {Xiangji Cai and Ruixuan Meng and Yanhui Zhang and Lifei Wang},
journal= {arXiv preprint arXiv:1902.01528},
year = {2019}
}