On the Dynamics of the Fermi-Bose Model

Magnus Ögren, M. Carlsson

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    Abstract

    We consider 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 dimers 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 three-dimensional 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
    JournalJournal of Physics A: Mathematical and Theoretical
    Volume46
    Pages (from-to)015005
    Number of pages21
    ISSN1751-8113
    DOIs
    Publication statusPublished - 2013

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