Abstract
The existence, stability, and dynamics of bound pairs of symbiotic matter waves in the form of dark-bright soliton pairs in two-component mixtures of atomic Bose-Einstein condensates is investigated. Motivated by the tunability of the atomic interactions in recent experiments, we explore in detail the impact that changes in the interaction strengths have on these bound pairs by considering significant deviations from the integrable limit. It is found that dark-bright soliton pairs exist as stable configurations in a wide parametric window spanning both the miscible and the immiscible regime of interactions. Outside this parameter interval, two unstable regions are identified and are associated with a supercritical and a subcritical pitchfork bifurcation, respectively. Dynamical manifestation of these instabilities gives rise to a redistribution of the bright density between the dark solitons, and also to symmetry-broken stationary states that are mass imbalanced (asymmetric) with respect to their bright soliton counterpart. The long-time dynamics of both the stable and the unstable balanced and imbalanced dark-bright soliton pairs is analyzed.
Recommended Citation
G. C. Katsimiga et al., "Stability And Dynamics Of Dark-Bright Soliton Bound States Away From The Integrable Limit," Applied Sciences (Switzerland), vol. 7, no. 4, article no. 388, MDPI, Apr 2017.
The definitive version is available at https://doi.org/10.3390/app7040388
Department(s)
Physics
Publication Status
Open Access
Keywords and Phrases
Bose-Einstein condensates; Dark-bright solitons; Gross-Pitaevskii equation; Mixtures; Nonlinear Schrödinger equation; Symbiotic matter waves; Ultracold atoms
International Standard Serial Number (ISSN)
2076-3417
Document Type
Article - Journal
Document Version
Final Version
File Type
text
Language(s)
English
Rights
© 2024 The Authors, All rights reserved.
Creative Commons Licensing
This work is licensed under a Creative Commons Attribution 4.0 License.
Publication Date
13 Apr 2017
