Eigenstate thermalization in interacting quantum gases in optical lattices

光学晶格中相互作用的量子气体的本征态热化

• 批准号: 521311128
• 负责人: Professor Dr. Fabian Heidrich-Meisner
• 金额: --
• 依托单位: Institut für Theoretische Physik
• 依托单位国家: 德国
• 项目类别: Research Units
• 资助国家: 德国
• 项目状态: 未结题
• 来源: https://gepris.dfg.de/gepris/projekt/521311128?language=en
• 关键词: Eigenstate; thermalization; interacting; quantum; gases

The theoretical description of thermalization and relaxation in closed quantum systems needs to account for their full quantum-mechanical dynamics, requires a definition of quantum chaos and a characterization of quantum baths. The eigenstate thermalization hypothesis provides sufficient criteria to predict generic thermalizing behavior based on the knowledge of many-body Hamiltonian eigenstates and properties of local observables. Verifying predictions from the eigenstate thermalization hypothesis in the experiments of this Research Unit is one of our key goals. The theory project T2 will address three objectives, in close collaboration with experimental teams. First, we will analyze the off-diagonal eigenstate matrix elements of local observables in experimentally relevant models, aiming at predicting the relaxation dynamics and the relevant time scales on a quantitative level. Second, we will study the emergence of diffusive transport and an underlying hydrodynamical description at high temperatures by considering perturbed integrable spin systems, realized in two-component Bose-Hubbard systems. Finally, we will study mass-imbalanced Fermi gases in optical lattices, aiming at identifying ergodic regimes and possibly also parameter regimes of slow dynamics as a function of density and mass imbalance. This project will employ exact diagonalization and density matrix renormalization group methods.

封闭量子系统中热化和弛豫的理论描述需要考虑其完整的量子力学动力学，需要量子混沌的定义和量子浴的表征。本征态热化假设提供了足够的标准来预测一般的热化行为的基础上的知识多体哈密顿本征态和本地观测的性质。在本研究单元的实验中，从本征态热化假设中得到预测是我们的主要目标之一。理论项目T2将与实验团队密切合作，实现三个目标。首先，我们将分析实验相关模型中局部观测量的非对角本征态矩阵元素，旨在定量预测弛豫动力学和相关时间尺度。其次，我们将研究出现的扩散运输和一个基本的流体动力学描述在高温下，通过考虑扰动可积自旋系统，实现在两个组件的玻色-哈伯德系统。最后，我们将研究质量不平衡的费米气体在光学晶格，旨在确定遍历制度，也可能是参数制度的慢动力学密度和质量不平衡的函数。本计画将使用精确对角化与密度矩阵重整化群方法。