Advanced

On the dynamics of the Fermi-Bose model

Ogren, M. and Carlsson, Marcus LU (2013) In Journal of Physics A: Mathematical and Theoretical 46(1).
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 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... (More)
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. (Less)
Please use this url to cite or link to this publication:
author
organization
publishing date
type
Contribution to journal
publication status
published
subject
in
Journal of Physics A: Mathematical and Theoretical
volume
46
issue
1
publisher
IOP Publishing
external identifiers
  • wos:000312108600006
  • scopus:84871206813
ISSN
1751-8113
DOI
10.1088/1751-8113/46/1/015005
language
English
LU publication?
yes
id
d4d44520-d612-4140-9221-58474c59bd77 (old id 3400900)
date added to LUP
2013-01-30 09:53:33
date last changed
2019-02-20 07:18:12
@article{d4d44520-d612-4140-9221-58474c59bd77,
  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 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.},
  articleno    = {015005},
  author       = {Ogren, M. and Carlsson, Marcus},
  issn         = {1751-8113},
  language     = {eng},
  number       = {1},
  publisher    = {IOP Publishing},
  series       = {Journal of Physics A: Mathematical and Theoretical},
  title        = {On the dynamics of the Fermi-Bose model},
  url          = {http://dx.doi.org/10.1088/1751-8113/46/1/015005},
  volume       = {46},
  year         = {2013},
}