IDEAS home Printed from https://ideas.repec.org/a/spr/eurphb/v91y2018i10d10.1140_epjb_e2018-90296-0.html
   My bibliography  Save this article

Dynamical decoherence of a qubit coupled to a quantum dot or the SYK black hole

Author

Listed:
  • Klaus M. Frahm

    (Laboratoire de Physique Théorique, IRSAMC, Université de Toulouse, CNRS, UPS)

  • Dima L. Shepelyansky

    (Laboratoire de Physique Théorique, IRSAMC, Université de Toulouse, CNRS, UPS)

Abstract

We study the dynamical decoherence of a qubit weakly coupled to a two-body random interaction model (TBRIM) describing a quantum dot of interacting fermions or the Sachdev–Ye–Kitaev (SYK) black hole model. We determine the rates of qubit relaxation and dephasing for regimes of dynamical thermalization of the quantum dot or of quantum chaos in the SYK model. These rates are found to correspond to the Fermi golden rule and quantum Zeno regimes depending on the qubit–fermion coupling strength. An unusual regime is found where these rates are practically independent of TBRIM parameters. We push forward an analogy between TBRIM and quantum small-world networks with an explosive spreading over exponentially large number of states in a finite time being similar to six degrees of separation in small-world social networks. We find that the SYK model has approximately two–three degrees of separation.

Suggested Citation

  • Klaus M. Frahm & Dima L. Shepelyansky, 2018. "Dynamical decoherence of a qubit coupled to a quantum dot or the SYK black hole," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 91(10), pages 1-19, October.
    • Handle: RePEc:spr:eurphb:v:91:y:2018:i:10:d:10.1140_epjb_e2018-90296-0
    DOI: 10.1140/epjb/e2018-90296-0
    as

    Download full text from publisher

    File URL: http://link.springer.com/10.1140/epjb/e2018-90296-0
    File Function: Abstract
    Download Restriction: Access to the full text of the articles in this series is restricted.
    File URL: https://libkey.io/10.1140/epjb/e2018-90296-0?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.

    More about this item

    Keywords

    Mesoscopic and Nanoscale Systems;

    Statistics

    Access and download statistics

    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:spr:eurphb:v:91:y:2018:i:10:d:10.1140_epjb_e2018-90296-0. 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: Sonal Shukla or Springer Nature Abstracting and Indexing (email available below). General contact details of provider: http://www.springer.com .

    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.