AI 中文总结
研究具有退相噪声的无自旋费米子非平衡动力学，通过映射到一维哈伯德模型分析四次方算符动力学及流体动力学投影，构造扩散本征算符，揭示微观算符流体动力学尾不仅取决于对称性等，还与本征算符结构尺寸有关。
AI 中文摘要
我们在多粒子林德布拉德方程框架下研究具有退相噪声的无自旋费米子的非平衡动力学。通过映射到具有纯虚隧穿振幅的精确可解一维哈伯德模型，我们分析了费米子中四次方算符的海森堡绘景动力学并确定其流体动力学投影。我们明确构造了相关的扩散本征算符，并表明在四次方扇区中，它们可解释为双线性流体动力学模式的相互作用对。结果表明微观算符的流体动力学尾通常不能仅从对称性约束或粗粒化涨落流体动力学推断，还关键取决于流体动力学本征算符的空间结构和有效尺寸。
英文摘要
We study the non-equilibrium dynamics of spinless fermions with dephasing noise in the framework of a many-particle Lindblad equation. Using a mapping to the exactly solvable one-dimensional Hubbard model with purely imaginary tunneling amplitude we analyze the Heisenberg-picture dynamics of operators quartic in fermions and determine their hydrodynamic projections. We construct the relevant diffusive eigenoperators explicitly and show that, in the quartic sector, they can be interpreted as interacting pairs of bilinear hydrodynamic modes. As a consequence, translationally invariant quartic operators generically exhibit non-vanishing diffusive late-time tails, unlike translationally invariant bilinears. Our results show that the hydrodynamic tails of microscopic operators cannot in general be inferred from symmetry constraints or coarse-grained fluctuating hydrodynamics alone; they also depend crucially on the spatial structure and effective size of the hydrodynamic eigenoperators.
Comments22 pages
