Preprint article · Journal article
On the Dynamics of the Fermi-Bose Model
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.
Language: | English |
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Publisher: | IOP Publishing |
Year: | 2013 |
Pages: | 015005 |
ISSN: | 17518121 and 17518113 |
Types: | Preprint article and Journal article |
DOI: | 10.1088/1751-8113/46/1/015005 |