IDEAS home Printed from https://ideas.repec.org/a/eee/phsmap/v631y2023ics0378437123008002.html
   My bibliography  Save this article

Rigorous and simple results on very slow thermalization, or quasi-localization, of the disordered quantum chain

Author

Listed:
  • De Roeck, Wojciech
  • Huveneers, François
  • Meeus, Branko
  • Prośniak, A. Oskar

Abstract

This paper originates from lectures delivered at the summer school “Fundamental Problems in Statistical Physics XV” in Bruneck, Italy, in 2021. We give a brief and limited introduction into ergodicity-breaking induced by disorder. As the title suggests, we include a simple yet rigorous and original result: For a strongly disordered quantum chain, we exhibit a full set of quasi-local quantities whose dynamics is negligible up to times of order exp{c(logW)2−ϵ}, with ϵ<1, c a numerical constant, and W the disorder strength. Such a result, that is often referred to as “quasi-localization”, can in principle be obtained in other systems as well, but for a disordered quantum chain, its proof is relatively short and transparent.

Suggested Citation

  • De Roeck, Wojciech & Huveneers, François & Meeus, Branko & Prośniak, A. Oskar, 2023. "Rigorous and simple results on very slow thermalization, or quasi-localization, of the disordered quantum chain," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 631(C).
    • Handle: RePEc:eee:phsmap:v:631:y:2023:i:c:s0378437123008002
    DOI: 10.1016/j.physa.2023.129245
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0378437123008002
    Download Restriction: Full text for ScienceDirect subscribers only. Journal offers the option of making the article available online on Science direct for a fee of $3,000
    File URL: https://libkey.io/10.1016/j.physa.2023.129245?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:phsmap:v:631:y:2023:i:c:s0378437123008002. 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: Catherine Liu (email available below). General contact details of provider: http://www.journals.elsevier.com/physica-a-statistical-mechpplications/ .

    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.