报告题目：Transport properties in quantum many-body systems

报告摘要：Dynamics are localized to strictly linear light cones in spacetime in classical and relativistic field theory, while non-relativistic quantum dynamics lack this feature. For few-body quantum dynamics, standard PDE techniques allow to derive ballistic upper bounds on quantum transport, but the methodology does not extend to many-body systems, due to substantial technical difficulty as the number of particles grows to infinity. In recent years, we have developed a technique, based on monocity estimates for certain time-dependent observables, to study transport properties in general quantum many-body systems. In this talk, we first give an overview on the mathematical setup for quantum many-body system on lattices. Then we present our recent results on various propagation constraints for the transport of particle and information in quantum many-body systems with strong interaction. Based on joint works with I. M. Sigal, M. Lemm, J. Faupin, and others.

报告人简介：张景宣，清华大学数学中心博士后。博士毕业于丹麦哥本哈根大学，研究方向包括相互作用粒子系统的动力学、非线性偏微分方程分析等。相关成果发表于Comm. Math. Phys., J. Funct. Anal., Phys. Rev. A, Ann. Phys. 等国际期刊

报告时间：2025年9月18日（星期四）下午 3:00

报告地点：扬州大学瘦西湖校区数学学院208报告厅

联系人：孙英特

主办单位：扬州大学数学学院

欢迎广大师生参加！