通过初始系统-环境相关性校正几何相位
Geometric phase corrected by initial system-environment correlations
摘要：
我们发现的几何相位的二能级系统通过与任意环境的相互作用进行纯退相，考虑到初始系统的影响，环境的相关性。我们使用我们的形式来计算两个谐振子和自旋环境的存在下的两个能级系统的几何相位，我们认为两个能级系统的初始状态是由一个投影测量或一个幺正操作准备。几何相位的各种参数，如系统-环境耦合强度的评估表明，初始相关性可以影响几何相位非常显着，即使是弱和中等的系统-环境耦合强度。此外，如果考虑初始系统-环境相关性，则由于系统-环境耦合而对几何相位的校正通常变得更小（并且甚至可以为零），从而意味着系统-环境相关性可以增加几何相位的鲁棒性。
英文摘要：
We find the geometric phase of a two-level system undergoing pure dephasing via interaction with an arbitrary environment, taking into account the effect of the initial system-environment correlations. We use our formalism to calculate the geometric phase for the two-level system in the presence of both harmonic oscillator and spin environments, and we consider the initial state of the two-level system to be prepared by a projective measurement or a unitary operation. The geometric phase is evaluated for a variety of parameters such as the system-environment coupling strength to show that the initial correlations can affect the geometric phase very significantly even for weak and moderate system-environment coupling strengths. Moreover, the correction to the geometric phase due to the system-environment coupling generally becomes smaller (and can even be zero) if initial system-environment correlations are taken into account, thus implying that the system-environment correlations can increase the robustness of the geometric phase.
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