Interaction of Excited States in Two-Species Bose-Einstein Condensates: A Case Study

T Kapitula
KJH Law
PG Kevrekidis, University of Massachusetts - Amherst

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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.