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Interaction of excited states in two-species Bose–Einstein condensates : a case study
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Kapitula, Todd, Law, K. J. H. and Kevrekidis, Panayotis G. (2010) Interaction of excited states in two-species Bose–Einstein condensates : a case study. SIAM Journal on Applied Dynamical Systems, Vol.9 (No.1). pp. 34-61. doi:10.1137/080742002 ISSN 1536-0040.
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Official URL: http://dx.doi.org/10.1137/080742002
Abstract
In this paper we consider the existence and spectral stability of excited states in two-species Bose–Einstein condensates in the case of a pancake magnetic trap. Each new excited state found in this paper is to leading order a linear combination of two one-species dipoles, each of which is a spectrally stable excited state for one-species condensates. The analysis is done via a Lyapunov–Schmidt reduction and is valid in the limit of weak nonlinear interactions. Some conclusions, however, can be made at this limit which remain true even when the interactions are large.
Item Type: | Journal Article | ||||
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Divisions: | Faculty of Science, Engineering and Medicine > Science > Mathematics | ||||
Journal or Publication Title: | SIAM Journal on Applied Dynamical Systems | ||||
Publisher: | Society for Industrial and Applied Mathematics | ||||
ISSN: | 1536-0040 | ||||
Official Date: | 2010 | ||||
Dates: |
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Volume: | Vol.9 | ||||
Number: | No.1 | ||||
Number of Pages: | 28 | ||||
Page Range: | pp. 34-61 | ||||
DOI: | 10.1137/080742002 | ||||
Status: | Peer Reviewed | ||||
Publication Status: | Published | ||||
Access rights to Published version: | Restricted or Subscription Access |
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