IDEAS home Printed from
   My bibliography  Save this article

Numerical and Monte Carlo Bethe ansatz method: 1D Heisenberg model


  • S.-J. Gu


  • N. M.R. Peres
  • Y.-Q. Li


In this paper we present two new numerical methods for studying thermodynamic quantities of integrable models. As an example of the effectiveness of these two approaches, results from numerical solutions of all sets of Bethe ansatz equations, for small Heisenberg chains, and Monte Carlo simulations in quasi-momentum space, for a relatively larger chains, are presented. Our results agree with those obtained by the thermodynamic Bethe ansatz (TBA). As an application of these ideas, the pairwise entanglement between two nearest neighbors at finite temperatures is studied. Copyright EDP Sciences/Società Italiana di Fisica/Springer-Verlag 2005

Suggested Citation

  • S.-J. Gu & N. M.R. Peres & Y.-Q. Li, 2005. "Numerical and Monte Carlo Bethe ansatz method: 1D Heisenberg model," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 48(2), pages 157-165, November.
  • Handle: RePEc:spr:eurphb:v:48:y:2005:i:2:p:157-165
    DOI: 10.1140/epjb/e2005-00390-1

    Download full text from publisher

    File URL:
    Download Restriction: Access to full text is restricted to subscribers.

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

    More about this item


    Access and download statistics


    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:48:y:2005:i:2:p:157-165. See general information about how to correct material in RePEc.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: (Sonal Shukla) or (Rebekah McClure). General contact details of provider: .

    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 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.

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

    IDEAS is a RePEc service hosted by the Research Division of the Federal Reserve Bank of St. Louis . RePEc uses bibliographic data supplied by the respective publishers.