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(Lunch Seminar) Topology from chaos: quantum Hall physics, Haldane conjecture and beyond
2018-12-11  【 】【打印】【关闭

CAS Key Laboratory of Theoretical Physics

Institute of Theoretical Physics

Chinese Academy of Sciences

Lunch Seminar

Title

题目

Topology from chaos: quantum Hall physics, Haldane conjecture and beyond

Speaker

报告人

田矗舜 研究员

Affiliation

所在单位

365bet官网

Date

日期

2018年12月11日(周二)中午12:00

 

Venue

地点

Conference Hall 322, ITP/理论物理所322报告厅

Abstract

摘要

Chaotic and topological phenomena have totally opposite characteristics: the former/latter are extremely sensitive to/robust against the change in system's details (e.g., the parameters of the Hamiltonian, the initial conditions, etc.). Thus they are commonly considered not to be compatible. In this talk, I will show how, by introducing a spin degree of freedom to the canonical model of chaotic dynamics, the so-called quantum kicked rotor (QKR), which is simply a particle moving on a ring and subjected to pulsed external force, rich dynamical behaviors of topological origin arise. These include, notably, the realization of quantum Hall physics and Haldane conjecture, which occur originally to totally different systems, namely, many-electron systems and quantum antiferromagnetic chains, respectively. I will show how a supersymmetry structure arises from the time-driving nature of QKR, and serves as a seed for a wealth of topological phenomena in this chaotic system as simple as being single-particle.

Contact Person

所内联系人

杨刚
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