IDEAS home Printed from https://ideas.repec.org/a/eee/phsmap/v322y2003icp233-246.html
   My bibliography  Save this article

Lindblad master equation for the damped harmonic oscillator with deformed dissipation

Author

Listed:
  • Isar, A.
  • Sandulescu, A.
  • Scheid, W.

Abstract

In the framework of the Lindblad theory for open quantum systems, a master equation for the quantum harmonic oscillator interacting with a dissipative environment, in particular with a thermal bath, is derived for the case when the interaction is based on deformed algebra. The equations of motion for observables strongly depend on the deformation function. The expectation values of the number operator and squared number operator are calculated in the limit of a small deformation parameter for the case of zero temperature of the thermal bath. The steady state solution of the equation for the density matrix in the number representation is obtained and its independence of the deformation is shown.

Suggested Citation

  • Isar, A. & Sandulescu, A. & Scheid, W., 2003. "Lindblad master equation for the damped harmonic oscillator with deformed dissipation," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 322(C), pages 233-246.
    • Handle: RePEc:eee:phsmap:v:322:y:2003:i:c:p:233-246
    DOI: 10.1016/S0378-4371(02)01828-9
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0378437102018289
    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(02)01828-9?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.

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Pourali, B. & Lari, B. & Hassanabadi, H., 2021. "An oscillator with position-dependent mass exposed to a thermal bosonic bath," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 584(C).

    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:322:y:2003:i:c:p:233-246. 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.