摘要
The Maryland model is a critical theoretical model in quantum chaos.This model describes the motion of a spin-1/2particle on a one-dimensional lattice under the periodical disturbance of the external delta-function-like magnetic field.In this work,we propose the linearly delayed quantum relativistic Maryland model(LDQRMM)as a novel generalization of the original Maryland model and systematically study its physical properties.We derive the resonance and antiresonance conditions for the angular momentum spread.The“characteristic sum”is introduced in this paper as a new measure to quantify the sensitivity between the angular momentum spread and the model parameters.In addition,different topological patterns emerge in the LDQRMM.It predicts some additions to the Anderson localization in the corresponding tight-binding systems.Our theoretical results could be verified experimentally by studying cold atoms in optical lattices disturbed by a linearly delayed magnetic field.
作者
于心澄
柏栋
何佩珊
张小平
任中洲
郑强
Hsinchen Yu;Dong Bai;Peishan He;Xiaoping Zhang;Zhongzhou Ren;Qiang Zheng(State Key Laboratory of Lunar and Planetary Sciences,Macao University of Science and Technology,Macao 999078,China;CNSA Macao Center for Space Exploration and Science,Macao,China;Department of Physics,Nanjing University,Nanjing 210008,China;School of Physics Science and Engineering,Tongji University,Shanghai 200092,China;Key Laboratory of Advanced Micro-Structure Materials(MOE),Tongji University,Shanghai 200092,China;School of Physical Science and Technology,Tiangong University,Tianjin 300387,China)
基金
Project supported by the Science and Technology Development Fund(FDCT)of Macao,China(Grant Nos.0014/2022/A1 and 0042/2018/A2)
the National Natural Science Foundation of China(Grant Nos.11761161001,12035011,and 11975167)
