标题： 嘈杂自由费米子输运中的普适性出现 显示英文标题

标题： Emergence of universality in transport of noisy free fermions

摘要： 我们分析了各种形式的噪声对一维非相互作用费米子系统的影响。在强噪声极限下，在适度假设下，我们证明了热力学极限下的费米子关联矩阵的统计性质遵循由最近引入的量子简单对称排斥过程（Q-SSEP）描述的普适形式。对于电荷输运，我们表明，Q-SSEP以及其普适类中的所有模型与经典SSEP模型具有相同的转移电荷的大偏差函数。我们推导这一结果的方法依赖于与电流测量所选键的选择相关的类似规范不变性。这种方法使得我们可以显式计算Q-SSEP和SSEP的累积生成函数，并建立了它们之间的精确对应关系。这些解析结果通过广泛的数值模拟得到了验证。我们的研究结果表明，广泛范围的嘈杂自由费米子模型都属于Q-SSEP普适类，并且它们的输运性质本质上是经典的。 显示英文摘要

摘要： We analyze the effects of various forms of noise on one-dimensional systems of non-interacting fermions. In the strong noise limit, we demonstrate, under mild assumptions, that the statistics of the fermionic correlation matrix in the thermodynamic limit follow a universal form described by the recently introduced quantum simple symmetric exclusion process (Q-SSEP). For charge transport, we show that Q-SSEP, along with all models in its universality class, shares the same large deviation function for the transferred charge as the classical SSEP model. The method we introduce to derive this result relies on a gauge-like invariance associated with the choice of the bond where the current is measured. This approach enables the explicit calculation of the cumulant generating function for both Q-SSEP and SSEP and establishes an exact correspondence between them. These analytical findings are validated by extensive numerical simulations. Our results establish that a wide range of noisy free-fermionic models share the same Q-SSEP universality class and show that their transport properties are essentially classical.