Fluctuation Relations For Adiabatic Pumping
Yuki Hino, Hisao Hayakawa
TL;DR
This paper derives an extended fluctuation relation for open systems under adiabatic modulation, revealing how geometric phases induce non-Gaussian fluctuations, especially when reservoir bias is absent.
Contribution
It introduces a novel fluctuation relation incorporating geometric phases in adiabatic pumping, highlighting the role of Berry-Sintisyn-Nemenman curvature.
Findings
Geometric phase causes non-Gaussian fluctuations.
Non-Gaussianity is amplified when reservoir bias is zero.
Extended fluctuation relation accounts for adiabatic one-cycle modulation.
Abstract
We derive an extended fluctuation relation for an open system coupled with two reservoirs under adiabatic one-cycle modulation. We confirm that the geometric phase caused by the Berry-Sintisyn-Nemenman curvature in the parameter space generates non-Gaussian fluctuations. This non-Gaussianity is enhanced for the instantaneous fluctuation relation when the bias between the two reservoirs disappears.
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