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Violation of self-similarity in the expansion of a 1D Bose gas

Pedri, P. and Santos, L. and Ohberg, P. and Stringari, S. (2003) Violation of self-similarity in the expansion of a 1D Bose gas. Physical Review A, 68. ISSN 1050-2947

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    Abstract

    The expansion of a 1D Bose gas is investigated employing the Lieb-Liniger equation of state within the local density approximation. We show that during the expansion the density profile of the gas does not follow a self-similar solution, as one would expect from a simple scaling Ansatz. We carry out a variational calculation, which recovers the numerical results for the expansion, the equilibrium properties of the density profile, and the frequency of the lowest compressional mode. The variational approach allows for the analysis of the expansion in all interaction regimes between the mean field and the Tonks-Girardeau limits, and in particular shows the range of parameters for which the expansion violates self-similarity.

    Item type: Article
    ID code: 4983
    Keywords: condensed matter, quantum physics, Physics, Atomic and Molecular Physics, and Optics
    Subjects: Science > Physics
    Department: Faculty of Engineering > Electronic and Electrical Engineering
    Faculty of Science > Physics
    Related URLs:
    Depositing user: Strathprints Administrator
    Date Deposited: 12 Dec 2007
    Last modified: 04 Sep 2014 16:40
    URI: http://strathprints.strath.ac.uk/id/eprint/4983

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