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.
Highlights
After the experimental realization of Bose–Einstein condensates (BECs) in ultracold atoms, a plethora of studies has been devoted to examining and understanding the coherent structures that arise in them [1,2,3,4]
Dark solitons can be created in BECs with atom–atom repulsion resulting from a positive scattering length, while bright solitons exist in single-component settings with attractive interatomic interactions resulting from a negative scattering length
Having verified that stationary anti-symmetric pairs of symbiotic matter waves can be found in a wide range of values of the inter-species repulsion coefficient g12, a natural step is to consider the fate of these solutions under small perturbations, providing information on their stability in the different regions of existence
Summary
After the experimental realization of Bose–Einstein condensates (BECs) in ultracold atoms, a plethora of studies has been devoted to examining and understanding the coherent structures that arise in them [1,2,3,4]. Among these structures, the formation, interactions and dynamics of matter wave dark [5,6,7] and bright solitons [2,8,9] have been a central focus of research both from the experimental and from the theoretical side. Such condensates have been created as mixtures of different spin states of 87 Rb [15,16] and
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