Skip to main content
Article
Interaction of Excited States in Two-Species Bose-Einstein Condensates: A Case Study
SIAM Journal on Imaging Sciences (2010)
  • T Kapitula
  • KJH Law
  • PG Kevrekidis, University of Massachusetts - Amherst
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.
Keywords
  • Bose-Einstein condensates,
  • nonlinear Schrodinger equations,
  • multicomponent systems,
  • existence,
  • stability
Disciplines
Publication Date
March, 2010
Publisher Statement
http://dx.doi.org/10.1137/080742002
Citation Information
T Kapitula, KJH Law and PG Kevrekidis. "Interaction of Excited States in Two-Species Bose-Einstein Condensates: A Case Study" SIAM Journal on Imaging Sciences Vol. 9 Iss. 1 (2010)
Available at: http://works.bepress.com/panos_kevrekidis/193/