On the Dynamics of the Fermi-Bose Model

Publication: Research - peer-reviewJournal article – Annual report year: 2012

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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
Pages (from-to)015005
Number of pages21
StatePublished - 2013
CitationsWeb of Science® Times Cited: 0
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ID: 18211934