Slow propagation velocities in
quantum many-body dynamics
报告专家：张景宣 助理教授（清华大学）
报告时间：5月20日（周三）14:00-15:00
报告地点：国家天元数学西南中心518
报告摘要：
We study the localization bounds for quantum many-body systems at positive spatial density in disordered media. Specifically, we consider dynamics of interacting bosons in the mean-field regime, subjected to a disordered potential which is either random or quasi-periodic. We prove that starting from a factorized and spatially localized initial wave function, the corresponding time-evolution propagates with a small velocity due to the disorder. This provides an example of a disordered quantum many-body system with provably slow transport behavior in any spatial dimension. The main technical novelty in the proof is an interaction picture analysis relative to the localization bounds of the associated one-body dynamics.
专家简介：
张景宣，2023年博士毕业于丹麦哥本哈根大学，现任清华大学丘成桐数学科学中心助理教授。主要研究领域是分析和数学物理，研究方向包括量子多体系统动力学、非线性偏微分方程分析等。相关成果发表于PRL, JMPA, CMP, JFA等国际期刊。
邀请人：石云峰
