Excited states of two-dimensional solitons supported by the spin-orbit coupling and field-induced dipole-dipole repulsion

Abstract

It was recently found that excited states of semi-vortex and mixed-mode solitons are unstable in spin-orbit-coupled Bose-Einstein condensates (BECs) with contact interactions. We demonstrate a possibility to stabilize such excited states in a setting based on repulsive dipole-dipole interactions induced by a polarizing field, oriented perpendicular to the plane in which the dipolar BEC is trapped. The strength of the field is assumed to grow in the radial direction $\sim$ $r^4$. Excited states of semi-vortex solitons have vorticities $S$ and $S+1$ in their two components, each being an eigenstate of the angular momentum. They are fully stable up to $S=5$. Excited state of mixed-mode solitons feature interweaving necklace structures with opposite fractional values of the angular momentum in the two components. They are stable if they are built of dominant angular harmonics $\pm S$, with $S\le 4$. Characteristics and stability of these two types of previously unknown higher-order solitons are systematically analyzed. Their characteristic size is $\sim 10$ $\mu$m, with the number of atoms $\lesssim 10^5$

8 pages, 3 figures, and 73 references, published on Physical Review A 97, 013636 (2018)

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Cited by in corpus (12)

• One-dimensional gap solitons in quintic and cubic-quintic Fractional nonlinear Schrödinger equations with a periodically modulated linear potential
• Two-dimensional anisotropic vortex quantum droplets in dipolar Bose-Einstein condensates
• Self-trapping under the two-dimensional spin-orbit-coupling and spatially growing repulsive nonlinearity
• Two-dimensional composite solitons in Bose-Einstein condensates with spatially confined spin-orbit coupling
• Gaussian-like and flat-top solitons of atoms with spatially modulated repulsive interactions
• Symmetry breaking of a matter-wave soliton in a double-well potential formed by spatially confined spin-orbit coupling
• Topological defects in rotating spin-orbit-coupled dipolar spin-1 Bose-Einstein condensates
• Tightly bound solitons and vortices in three-dimensional bosonic condensates with the electromagnetically-induced gravity
• Nonlinear modes in spatially confined spin-orbit-coupled Bose-Einstein condensates with repulsive nonlinearity
• Stable three-dimensional solitons in spin-orbit-coupled atomic-molecular condensates
• Static and dynamical properties of quadrupolar quantum droplets in quasi-2D condensates
• Quasi-two-dimensional soliton in a self-repulsive spin-orbit-coupled dipolar binary condensate