We derive an extended fluctuation relation for an open system coupled with two reservoirs under adiabatic one-cycle modulation. We confirm that the geometrical phase caused by the Berry-Sinitsyn-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.

• Received 2 September 2019
• Revised 19 March 2020
• Accepted 28 May 2020

DOI:https://doi.org/10.1103/PhysRevE.102.012115