Interaction of Excited States in Two-Species Bose-Einstein Condensates: A Case Study
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.
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 9.1 (2010): 34-61.
Available at: http://works.bepress.com/panos_kevrekidis/193