Abstract
In this work we present a systematic theoretical analysis regarding dark-bright solitons and their interactions, motivated by recent advances in atomic two-component repulsively interacting Bose-Einstein condensates. In particular, we study analytically via a two-soliton ansatz adopted within a variational formulation the interaction between two dark-bright solitons in a homogeneous environment beyond the integrable regime, by considering general inter- and intra-atomic interaction coefficients. We retrieve the possibility of a fixed point in the case where the bright solitons are out of phase. As the intercomponent interaction is increased, we also identify an exponential instability of the two-soliton state, associated with a subcritical pitchfork bifurcation. The latter gives rise to an asymmetric partition of the bright soliton mass and dynamically leads to spontaneous splitting of the bound pair. In the case of the in-phase bright solitons, we explain via parsing the analytical approximations and monitoring the direct dynamics why no such pair is identified, despite its prediction by the variational analysis.
Recommended Citation
G. C. Katsimiga et al., "Dark-Bright Soliton Interactions Beyond The Integrable Limit," Physical Review A, vol. 95, no. 1, article no. 13621, American Physical Society, Jan 2017.
The definitive version is available at https://doi.org/10.1103/PhysRevA.95.013621
Department(s)
Physics
International Standard Serial Number (ISSN)
2469-9934; 2469-9926
Document Type
Article - Journal
Document Version
Final Version
File Type
text
Language(s)
English
Rights
© 2024 American Physical Society, All rights reserved.
Publication Date
20 Jan 2017
Comments
National Science Foundation, Grant 1602994