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On the dynamics of the Fermi-Bose model
Department of Mathematics, Technical University of Denmark, Kgs. Lyngby, Denmark.ORCID-id: 0000-0002-2630-7479
Center for Mathematical Sciences, Lund University, Lund, Sweden.
2013 (engelsk)Inngår i: Journal of Physics A: Mathematical and Theoretical, ISSN 1751-8113, E-ISSN 1751-8121, Vol. 46, nr 1, artikkel-id 015005Artikkel i tidsskrift (Fagfellevurdert) Published
Abstract [en]

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 referred 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.

sted, utgiver, år, opplag, sider
Institute of Physics (IOP), 2013. Vol. 46, nr 1, artikkel-id 015005
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URN: urn:nbn:se:oru:diva-65558DOI: 10.1088/1751-8113/46/1/015005ISI: 000312108600006Scopus ID: 2-s2.0-84871206813OAI: oai:DiVA.org:oru-65558DiVA, id: diva2:1188572
Tilgjengelig fra: 2018-03-07 Laget: 2018-03-07 Sist oppdatert: 2018-03-14bibliografisk kontrollert

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