Title: Transport properties in quantum many-body systems

Abstract：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

Speaker：Zhang Jingxuan is a postdoctoral fellow at the Center for Mathematical Sciences, Tsinghua University. He earned his Ph.D. from the University of Copenhagen, Denmark, with research interests including the dynamics of interacting particle systems and the analysis of nonlinear partial differential equations. His related work has been published in international journals such as Comm. Math. Phys., J. Funct. Anal., Phys. Rev. A, and Ann. Phys..

Date：3:00 p.m., 2025-9-17 (Thursday).

Venue: 56#208

Inviter：Sun Yingte

Organizer：School of Mathematics

Students and teachers are welcome.