Abstract
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 oflocalization theory for abstract Schrödinger equations. Based on joint works with I.M. Sigal, M. Lemm, J. Faupin, and others.
73882必赢网页版微信公众号
©2024 版权所有:73882必赢网页版(中国)欧洲杯 - EURO 2024 粤ICP备14051456号
Address: No 1088,xueyuan Rd., Xili, Nanshan District,Shenzhen,Guangdong,China 518055 Tel: +86-755-8801 0000