Localization Estimates for Quantum Dynamics
发布时间：2024年05月13日
浏览次数：951
发布者: He Liu
主讲人： Jingxuan Zhang(Tsinghua University)
活动时间： 从 2024-05-23 16:00 到 17:30
场地： 北京国际数学研究中心，全斋全29教室
We present our recent works on localization estimates for quantum dynamics described by time-dependent linear Schrödinger equations. Whereas the latter are known to lack strict light cones, we prove the existence of effective light cones, obtain explicit upper bounds on the maximal propagation speed of quantum information, and derive long-time decay estimates for the probability leakage away from the effective light cones. The results are based on a generic framework of localization theory for abstract Schrödinger equations. Based on joint works with I.M. Sigal, M. Lemm, J. Faupin, and others.
