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arXiv · 1004.0075

Noncyclic and nonadiabatic geometric phase for counting statistics

Jun Ohkubo·Thomas Eggel
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Abstract

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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BibTeXRIS

Jun Ohkubo, Thomas Eggel. 2010-04-01. Noncyclic and nonadiabatic geometric phase for counting statistics. https://doi.org/10.1088/1751-8113/43/42/425001

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