标题： 线性响应与解耦的玻戈留波夫层次结构中的精确流体动力学投影在林德布拉德方程中 显示英文标题

标题： Linear response and exact hydrodynamic projections in Lindblad equations with decoupled Bogoliubov hierarchies

摘要： 我们考虑一类不带自旋的费米子Lindblad方程，它们表现出解耦的BBGKY层次结构。 在粒子数守恒的情况下，它们的长时间行为由扩散动力学表征，导致无限温度的稳态。 其中一些模型是Yang-Baxter可积的，而其他则不是。 BBGKY层次结构的简单性使得可以将Heisenberg图中的算符的动力学映射到具有非厄米哈密顿量的少体虚时薛定谔方程上。 我们利用这种表述来获得二次费米子算符的精确流体动力学投影，并确定Lindbladian非平衡动力学中的线性响应函数。 显示英文摘要

摘要： We consider a class of spinless-fermion Lindblad equations that exhibit decoupled BBGKY hierarchies. In the cases where particle number is conserved, their late time behaviour is characterized by diffusive dynamics, leading to an infinite temperature steady state. Some of these models are Yang-Baxter integrable, others are not. The simple structure of the BBGKY hierarchy makes it possible to map the dynamics of Heisenberg-picture operators on few-body imaginary-time Schr\"odinger equations with non-Hermitian Hamiltonians. We use this formulation to obtain exact hydrodynamic projections of operators quadratic in fermions, and to determine linear response functions in Lindbladian non-equilibrium dynamics.