发表机构
Jožef Stefan Institute; CeFEMA-LaPMET, Departamento de Física, Instituto Superior Técnico, Universidade de Lisboa; Laboratoire de Physique Théorique et Modélisation, CNRS UMR 8089, CY Cergy Paris Université（约泽夫·斯特凡研究所; 里斯本大学高等技术学院物理系CeFEMA-LaPMET; CY塞尔吉巴黎大学CNRS UMR 8089理论与建模物理实验室）
机构由 AI 辅助整理，请以论文原文为准。AI 中文总结
本研究针对带体退相位的边界驱动XXZ自旋链，从其微观Lindblad动力学推导得密度依赖扩散率的非线性涨落流体动力学，与张量网络模拟吻合，确立MFT为相互作用扩散量子系统的普适框架。
AI 中文摘要
统计物理学的核心挑战之一，仍是对相互作用量子多体系统中非平衡稳态的普适性表征。本文针对扩散型相互作用量子物质的典范模型——带体退相位的边界驱动XXZ自旋链，直接从其微观Lindblad动力学出发，推导了支配其大尺度涨落的涌现经典宏观涨落理论（MFT）。关键在于，所得流体动力学具有密度依赖的扩散率和迁移率，这是相互作用的特征。该有效描述可精确计算稳态密度分布、长程关联及电流的全计数统计，与张量网络模拟结果高度吻合。本研究表明，含噪量子多体系统可实现真正相互作用扩散物质的普适类，超越对称简单排斥过程的恒定扩散率普适类，并确立MFT作为相互作用扩散量子系统的强大普适框架。
英文摘要
A universal characterization of non-equilibrium steady states in interacting quantum many-body systems remains one of the central challenges of statistical physics. Here, we address this problem for a paradigmatic model of diffusive interacting quantum matter---the boundary-driven XXZ spin chain with bulk dephasing---and derive, directly from its microscopic Lindblad dynamics, an emergent classical Macroscopic Fluctuation Theory (MFT) governing its large-scale fluctuations. Crucially, the resulting hydrodynamics carries a density-dependent diffusivity and mobility as the fingerprint of interactions. This effective description enables the exact computation of the stationary density profile, long-range correlations, and the full counting statistics of the current, in excellent agreement with tensor-network simulations. Our work demonstrates that noisy quantum many-body systems can realize the universality class of genuinely interacting diffusive matter, beyond the constant-diffusivity class of the symmetric simple exclusion process, and establishes MFT as a powerful universal framework for interacting diffusive quantum systems.
Comments5 pages, 2 figures without end matter and supplementary material
