Vortex-Bright Soliton Dipoles: Bifurcations, Symmetry Breaking and Soliton Tunneling in a Vortex-Induced Double Well

Abstract

The emergence of vortex-bright soliton dipoles in two-component Bose-Einstein condensates through bifurcations from suitable eigenstates of the underlying linear system is examined. These dipoles can have their bright solitary structures be in phase (symmetric) or out of phase (anti-symmetric). The dynamical robustness of each of these two possibilities is considered and the out-of-phase case is found to exhibit an intriguing symmetry-breaking instability that can in turn lead to tunneling of the bright wavefunction between the two vortex "wells". We interpret this phenomenon by virtue of a vortex-induced double well system, whose spontaneous symmetry breaking leads to asymmetric vortex-bright dipoles, in addition to the symmetric and anti-symmetric ones. The theoretical prediction of these states is corroborated by detailed numerical computations.

14 pages, 8 figures

References in corpus (7)

• Oscillations and interactions of dark and dark-bright solitons in Bose-Einstein condensates
• Generation of dark-bright soliton trains in superfluid-superfluid counterflow
• Experimental observation of oscillating and interacting matter wave dark solitons
• Stationary and non-stationary fluid flow of a Bose-Einstein condensate through a penetrable barrier
• Beating dark-dark solitons in Bose-Einstein condensates
• Symmetry Breaking in Symmetric and Asymmetric Double-Well Potentials
• A vortex dipole in a trapped two-dimensional Bose-Einstein condensate

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