SIAM Journal on Applied Dynamical Systems
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. © 2010 Society for Industrial and Applied Mathematics.
Kapitula, Todd; Law, Kody J.H.; and Kevrekidis, Panayotis G., "Interaction of excited states in two-species Bose-Einstein condensates: A case study" (2010). University Faculty Publications and Creative Works. 313.