The Gross-Pitaevskii Equation and Bose-Einstein Condensates

Jesus Rogel-Salazar

    Research output: Contribution to journalArticlepeer-review

    12 Citations (Scopus)
    225 Downloads (Pure)

    Abstract

    The Gross-Pitaevskii equation is discussed at the level of an advanced
    course on statistical physics. In the standard literature the Gross-Pitaevskii equation is usually obtained in the framework of the second quantisation formalism, which in many cases goes beyond the material covered in many advanced undergraduate courses.
    In this paper, we motivate the derivation of the Gross-Pitaevskii equation (GPE) in
    relationship to concepts from statistical physics, highlighting a number of applications from dynamics of a Bose-Einstein condensate to the excitations of the gas cloud. This paper may be helpful not only in encouraging the discussion of modern developments in a statistical mechanics course, but also can be of use in other contexts such as mathematical physics and modelling. The paper is suitable for undergraduate and graduate students, as well as general physicists.
    Original languageEnglish
    Pages (from-to)247-257
    JournalEuropean Journal of Physics
    Volume34
    Issue number2
    Early online date9 Jan 2013
    DOIs
    Publication statusPublished - Mar 2013

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