论文标题

波动的超对称性

Fluctuation-dissipation supersymmetry

论文作者

Polettini, Matteo

论文摘要

开放系统可能会通过使其受到非保守力或注入外电流的方式来扰动平衡状态。对于小扰动,线性响应通过两个不同的矩阵进行量化。在网络热力学的框架中,在非常广泛的假设下,我们表明这两个矩阵通过超对称性连接,预测它们具有相同的频谱 - 直到基态的退化。我们的方法使超对称性的数学是一种新的成分,即倾斜投影算子。

Open systems may be perturbed out of equilibrium states either by subjecting them to nonconservative forces or by injecting external currents. For small perturbations, the linear response is quantified by two different matrices. In the framework of network thermodynamics, under very broad assumptions, we show that the two matrices are connected by a supersymmetry, predicting that they have the same spectrum - up to the degeneracy of the ground state. Our approach brings into the mathematics of supersymmetry a new ingredient, namely oblique projection operators.

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