Effect of scattering lengths on the dynamics of a two-component Bose-Einstein condensate

We examine the effect of the intra- and interspecies scattering lengths on the dynamics of a two-component Bose-Einstein condensate, particularly focusing on the existence and stability of solitonic excitations. For each type of possible soliton pairs stability ranges are presented in tabulated form...

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Bibliographic Details
Published inarXiv.org
Main Authors Gábor Csire Dániel Schumayer, Apagyi, Barnabás
Format Paper Journal Article
LanguageEnglish
Published Ithaca Cornell University Library, arXiv.org 11.09.2010
Subjects
Condensates
Physics - Pattern Formation and Solitons
Physics - Quantum Gases
Predictions
Scattering
Solitary waves
Stability analysis
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Summary:We examine the effect of the intra- and interspecies scattering lengths on the dynamics of a two-component Bose-Einstein condensate, particularly focusing on the existence and stability of solitonic excitations. For each type of possible soliton pairs stability ranges are presented in tabulated form. We also compare the numerically established stability of bright-bright, bright-dark and dark-dark solitons with our analytical prediction and with that of Painlevé-analysis of the dynamical equation. We demonstrate that tuning the inter-species scattering length away from the predicted value (keeping the intra-species coupling fixed) breaks the stability of the soliton pairs.
ISSN:2331-8422
DOI:10.48550/arxiv.1009.2122