期刊
CHINESE PHYSICS B
卷 31, 期 12, 页码 -出版社
IOP Publishing Ltd
DOI: 10.1088/1674-1056/ac7a0d
关键词
quantum chaos; dynamical localization; resonance and topology
资金
- Science and Technology Development Fund (FDCT) of Macau, China [0014/2022/A1, 0042/2018/A2]
- National Natural Science Foundation of China [11761161001, 12035011, 11975167]
In this study, we propose the linearly delayed quantum relativistic Maryland model (LDQRMM) as a novel generalization of the original Maryland model and systematically investigate its physical properties. Our results reveal the emergence of different topological patterns and predict some additions to the Anderson localization in the corresponding tight-binding systems.
The Maryland model is a critical theoretical model in quantum chaos. This model describes the motion of a spin-1/2 particle 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.
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