Dynamical stable-jump-stable-jump picture in a non-periodically driven quantum relativistic kicked rotor system

doi:10.1088/1674-1056/28/2/020504

中国物理B ›› 2019, Vol. 28 ›› Issue (2): 20504-020504.doi: 10.1088/1674-1056/28/2/020504

• SPECIAL TOPIC—Recent advances in thermoelectric materials and devices • 上一篇下一篇

Dynamical stable-jump-stable-jump picture in a non-periodically driven quantum relativistic kicked rotor system

Hsincheng Yu(于心澄), Zhongzhou Ren(任中洲), Xin Zhang(张欣)

1 Department of Physics, Nanjing University, Nanjing 210008, China;
2 School of Physics Science and Engineering, Tongji University, Shanghai 200092, China

收稿日期:2018-10-23 修回日期:2018-12-07 出版日期:2019-02-05 发布日期:2019-02-05
通讯作者: Zhongzhou Ren E-mail:zren@tongji.edu.cn
基金资助:
Project supported by the National Natural Science Foundation of China (Grant Nos. 11535004, 11761161001, 11375086, 11120101005, 11175085, and 1235001), the National Major State Basic Research and Development Program of China (Grant No. 2016YFE0129300), and the Science and Technology Development Fund of Macau (Grant No. 068/2011/A).

Dynamical stable-jump-stable-jump picture in a non-periodically driven quantum relativistic kicked rotor system

Hsincheng Yu(于心澄)¹, Zhongzhou Ren(任中洲)^1,2, Xin Zhang(张欣)¹

1 Department of Physics, Nanjing University, Nanjing 210008, China;
2 School of Physics Science and Engineering, Tongji University, Shanghai 200092, China

Received:2018-10-23 Revised:2018-12-07 Online:2019-02-05 Published:2019-02-05
Contact: Zhongzhou Ren E-mail:zren@tongji.edu.cn
Supported by:
Project supported by the National Natural Science Foundation of China (Grant Nos. 11535004, 11761161001, 11375086, 11120101005, 11175085, and 1235001), the National Major State Basic Research and Development Program of China (Grant No. 2016YFE0129300), and the Science and Technology Development Fund of Macau (Grant No. 068/2011/A).

摘要/Abstract

摘要：

We study a non-periodically driven kicked rotor based on the one-dimensional quantum relativistic kicked rotor (QRKR). In our model, we add a small constant to the interval of the one-dimensional QRKR after each kick process. It is found that the momentum spreading is stable in finite kicked times, it then jumps up or down and becomes stable again. This interesting phenomenon is understood by quantum resonance. Moreover, the stable-jump-stable-jump phenomenon persists, even though the interval of kick process is randomly increased. This result means that the quantum resonance is independent of the periodic perturbation in the QRKR model.

关键词: quantum chaos, dynamical localization, quantum resonance

Abstract:

Key words: quantum chaos, dynamical localization, quantum resonance

中图分类号: (Nonlinear dynamics and chaos)

05.45.-a

05.45.Mt (Quantum chaos; semiclassical methods)

于心澄, 任中洲, 张欣. Dynamical stable-jump-stable-jump picture in a non-periodically driven quantum relativistic kicked rotor system[J]. 中国物理B, 2019, 28(2): 20504-020504.

Hsincheng Yu(于心澄), Zhongzhou Ren(任中洲), Xin Zhang(张欣). Dynamical stable-jump-stable-jump picture in a non-periodically driven quantum relativistic kicked rotor system[J]. Chin. Phys. B, 2019, 28(2): 20504-020504.

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Dynamical stable-jump-stable-jump picture in a non-periodically driven quantum relativistic kicked rotor system

Dynamical stable-jump-stable-jump picture in a non-periodically driven quantum relativistic kicked rotor system

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