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arXiv · 1303.0623

Noncyclic geometric phase in counting statistics and its role as an excess contribution

Jun Ohkubo
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Abstract

We propose an application of fiber bundles to counting statistics. The framework of the fiber bundles gives a splitting of a cumulant generating function for current in a stochastic process, i.e., contributions from the dynamical phase and the geometric phase. We will show that the introduced noncyclic geometric phase is related to a kind of excess contributions, which have been investigated a lot in nonequilibrium physics. Using a specific nonequilibrium model, the characteristics of the noncyclic geometric phase are discussed; especially, we reveal differences between a geometric contribution for the entropy production and the `excess entropy production' which has been used to discuss the second law of steady state thermodynamics.

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Jun Ohkubo. 2013-06-06. Noncyclic geometric phase in counting statistics and its role as an excess contribution. https://doi.org/10.1088/1751-8113%2F46%2F28%2F285001

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