IDEAS home Printed from https://ideas.repec.org/a/eee/phsmap/v92y1978i1p268-281.html
   My bibliography  Save this article

Temperature dependent properties of the dynamics of a two-level system interacting with a radiation field

Author

Listed:
  • Martynov, S.N.
  • Sadreev, A.F.

Abstract

A system of two-level atoms interacting with one mode of a quantized radiation field is considered by the quantum field theory. The existence of a phase transition to the spontaneous coherent state (SCS) is shown. This state arises from the Bose-Einstein condensation of the photons of the radiation field. The spectrum of the collective excitations of the system is found for all temperatures. In the disordered phase there are two modes of transverse collective excitations when the sizes of an atomic sample are much less than the wavelength and three modes of excitations when the sizes of an atomic sample can be compared with the wavelength of the radiation field. One of the modes is a soft mode provided that the threshold condition is fulfilled. In the SCS there are six transverse collective modes. One of them has zero frequency and the frequencies of other modes increase with decreasing temperature. Moreover, in the SCS three longitudinal collective excitations arise. The photon Green's function has a pole at the origin in the condensed phase which shows that the radiation field is in a coherent state.

Suggested Citation

  • 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.
  • Handle: RePEc:eee:phsmap:v:92:y:1978:i:1:p:268-281
    DOI: 10.1016/0378-4371(78)90034-1
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/0378437178900341
    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(78)90034-1?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.
    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. 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.
    3. Gilmore, R., 1977. "Two nonlinear Dicke models," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 86(1), pages 137-146.
    4. 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.

    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:92:y:1978:i:1:p:268-281. 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.