Publication Date

January 2016

Journal or Book Title

Physical Review A

Abstract

Multi-component Bose-Einstein condensates exhibit an intriguing variety of nonlinear structures.In recent theoretical work, the notion of magnetic solitons has been introduced. Here we generalizethis concept to vector dark-antidark solitary waves in multi-component Bose-Einstein condensates.We rst provide concrete experimental evidence for such states in an atomic BEC and subsequentlyillustrate the broader concept of these states, which are based on the interplay between miscibilityand inter-component repulsion. Armed with this more general conceptual framework, we expandthe notion of such states to higher dimensions presenting the possibility of both vortex-antidarkstates and ring-antidark-ring (dark soliton) states. We perform numerical continuation studies,investigate the existence of these states and examine their stability using the method of BogolyubovdeGennes analysis. Dark-antidark and vortex-antidark states are found to be stable for broadparametric regimes. In the case of ring dark solitons, where the single-component ring state isknown to be unstable, the vector entity appears to bear a progressively more and more stabilizingrole as the inter-component coupling is increased.

Volume

94

Included in

Mathematics Commons

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