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.

中文翻译：

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绝热泵的波动关系。

我们导出了一个绝热一周期调制下与两个储层耦合的开放系统的扩展涨落关系。我们确认由参数空间中的Berry-Sinitsyn-Nemenman曲率引起的几何相位会产生非高斯波动。当两个油藏之间的偏差消失时，这种非高斯性会增强瞬时波动关系。