AI 中文总结
该研究引入并求解IQSEP模型，通过与格点间距适当标度相互作用强度定义介观标度区，解释了相互作用扩散系统中量子相干性的涨落，拓展了标准涨落流体动力学的适用范围。
AI 中文摘要
我们引入并求解了相互作用量子对称排他过程（IQSEP），这是一类描述带电粒子沿格点边的随机量子跳跃的模型，其跳跃振幅依赖于相邻格点的占据情况。在无相互作用时，它们退化为标准量子简单对称排他过程，呈现相干扩散输运。对于一阶相互作用，它们描述非相干扩散输运及其涨落，特征是具有依赖于密度的扩散率和迁移率，与宏观涨落理论建立联系。通过将相互作用强度与格点间距适当标度，我们定义了介观标度区，在连续热力学极限下保留有限的相干长度，该标度区在小尺度下的相干行为与大尺度下的非相干行为之间插值。所得标度理论解释了相互作用扩散系统中量子相干性的涨落，超出了标准涨落流体动力学的适用范围。
英文摘要
We introduce and solve the Interacting Quantum Symmetric Exclusion Process (IQSEP), a family of models describing the stochastic quantum hopping of charged particles along the edges of a lattice, with hopping amplitudes that depend on the occupations of neighbouring sites. In the absence of interactions, they reduce to the standard quantum simple symmetric exclusion process, exhibiting coherent diffusive transport. For interactions of order one, they capture incoherent diffusive transport and its fluctuations, characterized by density-dependent diffusivity and mobility, making contact with the macroscopic fluctuation theory. By rescaling the interaction strength appropriately with the lattice mesh, we define a mesoscopic scaling regime that retains a finite coherence length in the continuous thermodynamic limit. This regime interpolates between coherent behavior at small length scales and incoherent behavior at large scales. The resulting scaling theory accounts for fluctuations of quantum coherences in interacting diffusive systems, going beyond the scope of standard fluctuating hydrodynamics.
Comments5 pages + End Matter and Supplemental Material; 2 figures
