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。
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
.
DOI: 10.7523/j.ucas.2022.003
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.
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