A perturbative approach to inelastic collisions in a Bose-Einstein condensate
A perturbative approach to inelastic collisions in a Bose-Einstein condensate
It has recently been discovered that for certain rates of mode-exchange collisions analytic solutions can be found for a Hamiltonian describing the two-mode Bose-Einstein condensate. We proceed to study the behaviour of the system using perturbation theory if the coupling constants only approximately match these parameter constraints. We find that the model is robust to such perturbations. We study the effects of degeneracy on the perturbations and find that the induced changes differ greatly from the non-degenerate case. We also model inelastic collisions that result in particle loss or condensate decay as external perturbations and use this formalism to examine the effects of three-body recombination and background collisions.
Mann, R. B.
acb6fbee-dc8b-4277-9738-0cdde2e40bec
Young, M. B.
fabf649e-13d3-48bc-8508-8cf7af1a831f
Fuentes-Schuller, I.
c6d65a4c-feac-44c1-9097-e0f6a9e0cf44
28 April 2011
Mann, R. B.
acb6fbee-dc8b-4277-9738-0cdde2e40bec
Young, M. B.
fabf649e-13d3-48bc-8508-8cf7af1a831f
Fuentes-Schuller, I.
c6d65a4c-feac-44c1-9097-e0f6a9e0cf44
Mann, R. B., Young, M. B. and Fuentes-Schuller, I.
(2011)
A perturbative approach to inelastic collisions in a Bose-Einstein condensate.
Journal of Physics B: Atomic, Molecular and Optical Physics, 44 (8), [085301].
(doi:10.1088/0953-4075/44/8/085301).
Abstract
It has recently been discovered that for certain rates of mode-exchange collisions analytic solutions can be found for a Hamiltonian describing the two-mode Bose-Einstein condensate. We proceed to study the behaviour of the system using perturbation theory if the coupling constants only approximately match these parameter constraints. We find that the model is robust to such perturbations. We study the effects of degeneracy on the perturbations and find that the induced changes differ greatly from the non-degenerate case. We also model inelastic collisions that result in particle loss or condensate decay as external perturbations and use this formalism to examine the effects of three-body recombination and background collisions.
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Published date: 28 April 2011
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Local EPrints ID: 480234
URI: http://eprints.soton.ac.uk/id/eprint/480234
ISSN: 0953-4075
PURE UUID: e66050f9-57be-4a62-8f5a-adb32c71e6d2
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Date deposited: 01 Aug 2023 17:11
Last modified: 17 Mar 2024 00:32
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Author:
R. B. Mann
Author:
M. B. Young
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