IDEAS home Printed from https://ideas.repec.org/a/eee/chsofr/v122y2019icp80-88.html
   My bibliography  Save this article

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

Author

Listed:
  • liu, Qing
  • Chen, Hao
  • Hai, Wenhua

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.

Suggested Citation

  • liu, Qing & Chen, Hao & Hai, Wenhua, 2019. "Chaos-assisted localization and delocalization of a particle in a driven optical lattice," Chaos, Solitons & Fractals, Elsevier, vol. 122(C), pages 80-88.
    • Handle: RePEc:eee:chsofr:v:122:y:2019:i:c:p:80-88
    DOI: 10.1016/j.chaos.2019.02.011
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0960077919300724
    Download Restriction: Full text for ScienceDirect subscribers only
    File URL: https://libkey.io/10.1016/j.chaos.2019.02.011?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:eee:chsofr:v:122:y:2019:i:c:p:80-88. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    We have no bibliographic references for this item. You can help adding them by using this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Thayer, Thomas R. (email available below). General contact details of provider: https://www.journals.elsevier.com/chaos-solitons-and-fractals .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.