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

doi:10.7523/j.ucas.2022.003

中国科学院大学学报 ›› 2022, Vol. 39 ›› Issue (4): 561-566.DOI: 10.7523/j.ucas.2022.003

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

张嘉龙, 张龙, 张富春

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

收稿日期:2021-11-30 修回日期:2022-01-06 发布日期:2022-01-13
通讯作者: 张嘉龙
基金资助:
Supported by 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), and the CAS Youth Innovation Promotion Association

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

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

Received:2021-11-30 Revised:2022-01-06 Published:2022-01-13
Supported by:
Supported by 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), and the CAS Youth Innovation Promotion Association

摘要/Abstract

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。

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

Abstract: 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.

Key words: quantum kicked rotor, integer quantum Hall effect, critical phenomena, finite-size scaling

中图分类号:

O413.3

张嘉龙, 张龙, 张富春. 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[J]. 中国科学院大学学报, 2022, 39(4): 561-566.

ZHANG Jialong, ZHANG Long, ZHANG Fuchun. Finite-size scaling analysis of the Planck's quantum-driven integer quantum Hall transition in spin-1/2 kicked rotor model[J]. Journal of University of Chinese Academy of Sciences, 2022, 39(4): 561-566.

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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

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