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arXiv:1112.6006 · Physical Review A

Stable bright solitons in two-component Bose-Einstein condensates

A. I. Yakimenko, K. O. Shchebetovska, S. I. Vilchinskiĭ, Michael Weyrauch

Published May 29, 2012• 11 citations
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Abstract

Two-dimensional fundamental soliton-soliton pairs are investigated in binary mixtures of Bose-Einstein condensates with attractive interactions between atoms of the same type. Both attractive and repulsive interactions between atoms of different types are considered. The general properties of the stationary states are investigated variationally and numerically. The stability regions of the soliton-soliton pairs are determined.

DOI
10.1103/physreva.85.053640

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Two-dimensional fundamental soliton-soliton pairs are investigated in binary mixtures of Bose-Einstein condensates with attractive interactions between atoms of the same type. Both attractive and repulsive interactions between atoms of different types are considered. The general properties of the stationary states are investigated variationally and numerically. The stability regions of the soliton-soliton pairs are determined.
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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.
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