自旋1/2量子受激转子中Planck常数调节的整数量子霍尔效应转变的有限尺寸标度分析  

Finite-size scaling analysis of the Planck’s quantum-driven integer quantum Hall transition in spin-1/2 kicked rotor model

作　　者：张嘉龙 张龙 张富春 ZHANG Jialong;ZHANG Long;ZHANG Fuchun(Kavli Institute for Theoretical Sciences and CAS Center for Excellence in Topological Quantum Computation, University of Chinese Academy of Sciences,Beijing 100190, China)

机构地区：[1]中国科学院大学卡弗里理论科学研究所/中国科学院拓扑量子计算卓越创新中心,北京100190

出　　处：《中国科学院大学学报（中英文）》2022年第4期561-566,共6页Journal of University of Chinese Academy of Sciences

基　　金：the National Key R&D Program of China(2018YFA0305800);the National Natural Science Foundation of China(11804337 and 12174387);the Strategic Priority Research Program of CAS(XDB28000000);the CAS Youth Innovation Promotion Association。

摘　　要：量子受激转子(quantum kicked rotor,QKR)是量子混沌研究中的重要模型之一。在自旋1/2的QKR中,调节等效Planck常数可以在动力学局域化相之间实现一系列相变,其形式与整数量子霍尔效应及其平台相变相似。研究这一相变的有限尺寸标度理论,并将其应用于自旋1/2的QKR模型。估计出相变的临界指数为ν=2.62(9),符合整数量子霍尔效应平台转变的普适类。The quantum kicked rotor(QKR)model is a prototypical system in the research of quantum chaos.In a spin-1/2 QKR,tuning the effective Planck parameter realizes a series of transitions between dynamical localization phases,which closely resembles the integer quantum Hall(IQH)effect and the plateau transitions.In this work,we devise and apply the finite-size scaling analysis to the transitions in the spin-1/2 QKR model.We obtain an estimate of the critical exponent at the transition point,ν=2.62(9),which is consistent with the IQH plateau transition universality class.

关 键 词：量子受激转子 整数量子霍尔效应 临界现象 有限尺寸标度 

分 类 号：O413.3[理学—理论物理]