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Appl. Sci. 2017, 7(4), 388; doi:10.3390/app7040388

Stability and Dynamics of Dark-Bright Soliton Bound States Away from the Integrable Limit

1
Zentrum für Optische Quantentechnologien, Universität Hamburg, Luruper Chaussee 149, 22761 Hamburg, Germany
2
Department of Mathematics and Statistics, University of Massachusetts, Amherst, MA 01003-4515, USA
3
The Hamburg Centre for Ultrafast Imaging, Luruper Chaussee 149, 22761 Hamburg, Germany
*
Author to whom correspondence should be addressed.
Academic Editor: Boris Malomed
Received: 14 March 2017 / Revised: 6 April 2017 / Accepted: 7 April 2017 / Published: 13 April 2017
(This article belongs to the Special Issue Guided-Wave Optics)
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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. View Full-Text
Keywords: Bose–Einstein condensates; ultracold atoms; mixtures; Gross–Pitaevskii equation; nonlinear Schrödinger equation; symbiotic matter waves; dark-bright solitons Bose–Einstein condensates; ultracold atoms; mixtures; Gross–Pitaevskii equation; nonlinear Schrödinger equation; symbiotic matter waves; dark-bright solitons
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This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. (CC BY 4.0).

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MDPI and ACS Style

Katsimiga, G.C.; Stockhofe, J.; Kevrekidis, P.G.; Schmelcher, P. Stability and Dynamics of Dark-Bright Soliton Bound States Away from the Integrable Limit. Appl. Sci. 2017, 7, 388.

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