IDEAS home Printed from https://ideas.repec.org/a/eee/phsmap/v86y1977i1p137-146.html
   My bibliography  Save this article

Two nonlinear Dicke models

Author

Listed:
  • Gilmore, R.

Abstract

We consider two simple classes of nonlinear extensions of the Dicke model in order to understand how sensitive the presence of the phase transition is to the structural form of the model Hamiltonian. In both classes, second order phase transitions can occur for sufficiently large values of the coupling constant λ. Gap equations are derived for both classes of nonlinear extensions. Second order phase transitions cannot occur in these classes of models unless the model Hamiltonian contains a bilinear interaction term of the form originally proposed by Dicke.

Suggested Citation

  • Gilmore, R., 1977. "Two nonlinear Dicke models," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 86(1), pages 137-146.
  • Handle: RePEc:eee:phsmap:v:86:y:1977:i:1:p:137-146
    DOI: 10.1016/0378-4371(77)90067-X
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/037843717790067X
    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/10.1016/0378-4371(77)90067-X?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. Roger J. Bowden, 1976. "A Dual Concept and Associated Algorithm in Mean-Variance Portfolio Analysis," Management Science, INFORMS, vol. 23(4), pages 423-432, December.
    2. Myron J. Lefcowitz & Barbara Wallston, 1973. "Self-Anchoring Scale: Does It Make a Difference?," Sociological Methods & Research, , vol. 1(3), pages 387-399, February.
    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.
    1. Bogolubov, N.N. & Shumovsky, A.S. & Kudryavtsev, I.K. & Lyagushin, S.F., 1988. "Superfluorescence in a system with external sources," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 151(2), pages 293-302.
    2. Provost, J.P. & Rocca, F. & Vallee, G. & Sirugue, M., 1976. "Lack of phase transition in the Dicke model with external fields," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 85(1), pages 202-206.
    3. Arimitsu, Toshihico, 1980. "Correction to the laser master equation," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 104(1), pages 126-142.
    4. Sadreev, A.F. & Sukhinin, Yu.V., 1987. "Electrodynamics and thermodynamics of a paramagnetic system in a metallic resonator," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 140(3), pages 637-646.
    5. Sadreev, A.F. & Slivinsky, A.P., 1978. "Phase transition to the spontaneous coherent state," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 92(1), pages 255-267.
    6. Martynov, S.N. & Sadreev, A.F., 1978. "Temperature dependent properties of the dynamics of a two-level system interacting with a radiation field," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 92(1), pages 268-281.

    More about this item

    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:eee:phsmap:v:86:y:1977:i:1:p:137-146. 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.