Dark-bright ring solitons in Bose-Einstein condensates

Abstract

We study dark-bright ring solitons in two-component Bose-Einstein condensates. In the limit of large densities of the dark component, we describe the soliton dynamics by means of an equation of motion for the ring radius. The presence of the bright, "filling" species is demonstrated to have a stabilizing effect on the ring dark soliton. Near the linear limit, we discuss the symmetry-breaking bifurcations of dark-bright soliton stripes and vortex-bright soliton clusters from the dark-bright ring and relate the stabilizing effect of filling to changes in the bifurcation diagram. Finally, we show that stabilization by means of a second component is not limited to the radially symmetric structures, but can also be observed in a cross-like dark-bright soliton configuration.

References in corpus (9)

• Oscillations and interactions of dark and dark-bright solitons in Bose-Einstein condensates
• Double species condensate with tunable interspecies interactions
• Generation of dark-bright soliton trains in superfluid-superfluid counterflow
• Dynamics of Dark-Bright Solitons in Cigar-Shaped Bose-Einstein Condensates
• Symmetry Breaking in Symmetric and Asymmetric Double-Well Potentials
• Coherent atomic soliton molecules for matter-wave switching
• Stable multidimensional soliton stripes in two-component Bose-Einstein condensates
• Dynamics of ring dark solitons in Bose-Einstein condensates and nonlinear optics
• Emergence and Stability of Vortex Clusters in Bose-Einstein Condensates: a Bifurcation Approach near the Linear Limit

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• Vortex-Bright Soliton Dipoles: Bifurcations, Symmetry Breaking and Soliton Tunneling in a Vortex-Induced Double Well
• The Snake Instability of Ring Dark Solitons in Toroidally Trapped Bose-Einstein Condensates
• Generation of ring dark solitons by phase engineering and their oscillations in spin-1 Bose-Einstein condensates
• Ring dark solitons in three-dimensional Bose-Einstein condensates
• Stabilization of ring dark solitons in Bose-Einstein condensates
• Stability and Tunneling Dynamics of a Dark-Bright Soliton Pair in a Harmonic Trap
• Effective equations for matter-wave gap solitons in higher-order transversal states
• Adiabatic invariant analysis of dark and dark-bright soliton stripes in two-dimensional Bose-Einstein condensates
• Self-interference of a toroidal Bose-Einstein condensate
• Dynamical generation of interwoven soliton trains by nonlinear emission in binary Bose-Einstein condensates
• Performing Hong-Ou-Mandel-type Numerical Experiments with Repulsive Condensates: The case of Dark and Dark-bright Solitons
• Half-vortex soliton lattices in spin-orbit-coupled Bose-Einstein condensates with a quasi-flat band
• Families of Skyrmions in Two-Dimensional Spin-1/2 Systems