Interaction of Excited States in Two-Species Bose-Einstein Condensates: A Case StudySIAM Journal on Imaging Sciences (2010)
AbstractIn 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.
- Bose-Einstein condensates,
- nonlinear Schrodinger equations,
- multicomponent systems,
Publication DateMarch, 2010
Citation InformationT 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/