IDEAS home Printed from https://ideas.repec.org/a/eee/phsmap/v278y2000i1p214-221.html
   My bibliography  Save this article

Transition from quantum to classical Heisenberg trimers: thermodynamics and time correlation functions

Author

Listed:
  • Mentrup, D.
  • Schmidt, H.-J.
  • Schnack, J.
  • Luban, M.

Abstract

We focus on the transition from quantum to classical behavior in thermodynamic functions and time correlation functions of a system consisting of three identical quantum spins s that interact via isotropic Heisenberg exchange. The partition function and the zero-field magnetic susceptibility are readily shown to adopt their classical forms with increasing s. The behavior of the spin autocorrelation function (ACF) is more subtle. Unlike the classical Heisenberg trimer where the ACF approaches a unique non-zero limit for long times, for the quantum trimer the ACF is periodic in time. We present exact values of the time average over one period of the quantum trimer for s⩽7 and for infinite temperature. These averages differ from the long-time limit, (940)ln3+(730), of the corresponding classical trimer by terms of order 1/s2. However, upon applying the Levin u-sequence acceleration method to our quantum results we can reproduce the classical value to six significant figures.

Suggested Citation

  • Mentrup, D. & Schmidt, H.-J. & Schnack, J. & Luban, M., 2000. "Transition from quantum to classical Heisenberg trimers: thermodynamics and time correlation functions," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 278(1), pages 214-221.
    • Handle: RePEc:eee:phsmap:v:278:y:2000:i:1:p:214-221
    DOI: 10.1016/S0378-4371(99)00571-3
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0378437199005713
    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/S0378-4371(99)00571-3?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.

    References listed on IDEAS

    as
    1. Mentrup, D & Schnack, J & Luban, Marshall, 1999. "Spin dynamics of quantum and classical Heisenberg dimers," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 272(1), pages 153-161.
    Full references (including those not matched with items on IDEAS)

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.

      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:278:y:2000:i:1:p:214-221. 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.

      If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with 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.