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

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

Abstract

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.

Keywords: quantum chaos dynamical localization quantum resonance

Received: 23 October 2018
Revised: 07 December 2018
Accepted manuscript online:

PACS:	05.45.-a	(Nonlinear dynamics and chaos)
	05.45.Mt	(Quantum chaos; semiclassical methods)

Fund:

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).

Corresponding Authors: Zhongzhou Ren
E-mail: zren@tongji.edu.cn

Cite this article:

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 2019 Chin. Phys. B 28 020504

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

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