Chaos-assisted localization and delocalization of a particle in a driven optical lattice

Qing Liu, Hao Chen and Wenhua Hai

Chaos, Solitons & Fractals, 2019, vol. 122, issue C, 80-88

Abstract: We investigate quantum chaotic dynamics of a single particle held in a weak amplitude- and tilt-modulated optical lattice with frequency resonance, by using the classical-quantum mixing method. Based on the macroscopic heteroclinic orbit tending to the chaotic “sea” of classical phase space, the quantum chaotic coherent states of the microscopic system are constructed, which show classical-quantum correspondence well. We illustrate the chaotic parameter regions and demonstrate that chaos causes the spread of wave packets and transfers the multiple quantum levels into a single chaotic band. The quantum expected orbit sensitively depends on the initial conditions and system parameters, meaning the famous quantum butterfly effect. Such an effect may lead to the chaotic dynamical localization or delocalization with a certain probability, which can be experimentally observed by matching the driving parameters and initial conditions.

Keywords: Quantum butterfly effect; Chaos-assisted localization; Driven optical lattice; Classical-quantum mixing method; Classical-quantum correspondence (search for similar items in EconPapers)
Date: 2019
References: View complete reference list from CitEc
Citations:

Downloads: (external link)
http://www.sciencedirect.com/science/article/pii/S0960077919300724
Full text for ScienceDirect subscribers only

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:122:y:2019:i:c:p:80-88

DOI: 10.1016/j.chaos.2019.02.011

Access Statistics for this article

Chaos, Solitons & Fractals is currently edited by Stefano Boccaletti and Stelios Bekiros

More articles in Chaos, Solitons & Fractals from Elsevier
Bibliographic data for series maintained by Thayer, Thomas R. ().