计数统计量的非循环非绝热几何相位
Noncyclic and nonadiabatic geometric phase for counting statistics
摘要：
我们提出了一个一般框架的几何相位解释计数统计。计数统计是一种统计随机过程中特定转移次数的方法。计数统计的累积量母函数可以解释为一个“相位”，它通常分为两个部分：动态相位和剩余相位。已经表明，对于循环演化，剩余的相位对应于几何相位，例如Berry相位或Aharonov-Anandan相位。我们在这里表明，剩余的阶段也有一个解释，即使在非循环和非绝热演化的几何相位。
英文摘要：
We propose a general framework of the geometric-phase interpretation for counting statistics. Counting statistics is a scheme to count the number of specific transitions in a stochastic process. The cumulant generating function for the counting statistics can be interpreted as a `phase', and it is generally divided into two parts: the dynamical phase and a remaining one. It has already been shown that for cyclic evolution the remaining phase corresponds to a geometric phase, such as the Berry phase or Aharonov-Anandan phase. We here show that the remaining phase also has an interpretation as a geometric phase even in noncyclic and nonadiabatic evolution.
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