On the Dynamics of the Fermi-Bose model

Magnus Ögren

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    Abstract

    In this talk we formulate and prove results for the exponential matrix representing the dynamics of the Fermi-Bose model in an undepleted bosonic field approximation. A recent application of this model is molecular dimmers dissociating into its atomic compounds. The problem is solved in D spatial dimensions by dividing the system matrix into blocks with generalizations of Hankel matrices, here refered to as D-block Hankel-matrices. The method is practically useful for treating large systems, i.e. dense computational grids or higher spatial dimensions, either on a single standard computer or a cluster. In particular the results can be used for studies of threedimensional physical systems of arbitrary geometry. We illustrate the generality of our approach by giving numerical results for the dynamics of Glauber type atomic pair correlation functions for a non-isotropic three-dimensional harmonically trapped molecular Bose-Einstein condensate.
    Original languageEnglish
    Publication date2012
    Number of pages1
    Publication statusPublished - 2012
    EventBIT Circus 2012: Numerical Mathematics and Computational Science - Technical University of Denmark, Lyngby, Denmark
    Duration: 23 Aug 201224 Aug 2012
    http://www.math.ku.dk/~hugger/BIT2012circus/

    Conference

    ConferenceBIT Circus 2012
    LocationTechnical University of Denmark
    Country/TerritoryDenmark
    CityLyngby
    Period23/08/201224/08/2012
    Internet address

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