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arXiv 1902.01528quant-ph
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非平衡环境中量子演化的几何

Geometry of quantum evolution in a nonequilibrium environment

Xiangji Cai, Ruixuan Meng, Yanhui Zhang, Lifei Wang

摘要:

从理论上研究了非平衡噪声环境下量子动力学演化的几何效应。根据动力学演化和演化态与初态的重叠,导出了含时几何相位的表达式。结果表明,由环境非平衡特性引起的频移对量子动力学的几何相位和演化路径起着至关重要的作用。环境的非平衡特性使得演化路径变长,降低了量子动力学中的动力学退相干和非马尔可夫行为。

英文摘要:

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.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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