题目:Quantum Ergodicity and Mixing
报告人:吴飙北京大学物理学院量子材料科学中心
地点:教十二-201
时间:7月5日,周四,15:00-16:00
Abstract:
Ergodicity and mixing were originally introduced, respectively, by Boltzmann and Gibbs in the context of statistical mechanics. Ergodic theory of classical dynamics is now a fully developed branch of mathematics. We intend to extend these two concepts to quantum dynamics by introducing new definitions for quantum ergodicity and mixing, which are inspired by von Neumann’s work in 1929. Accordingly, we introduce two parameters to quantitatively characterize ergodic and mixing in quantum systems. We show both in general and with examples, such as quantum kicked rotor, that these definitions are consistent with our intuitive understanding of ergodicity and mixing and with classical ergodicity and mixing at the semi-classical limit.
References:
【1】Zhang, Quan and Wu PRE 94, 022150 (2016);
【2】Jiang, Chen and Wu, arXiv:1712.04533(2017)
个人简介:
吴飙, 2001年在美国德州大学奥斯汀分校(University of Texas at Austin)获博士学位。2001年到2004年在美国橡树岭国家实验室(Oak Ridge National Lab)从事博士后研究; 2004年入选中国科学院 “百人计划”,任中科院物理所研究员。 2007年获首届香港大学崔琦奖(D. Tsui Fellowship);2008年获国家杰出青年基金。2010年到北京大学工作。从事凝聚态物理的理论研究,主要方向有超冷原子气、量子热化、量子算法、几何相位和非线性动力学等。
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