Dipolar bright solitons and solitary vortices in a radial lattice

Abstract

Stabilizing vortex solitons with high values of the topological charge, S, is a challenging issue in optics, studies of Bose-Einstein condensates (BECs) and other fields. To develop a new approach to the solution of this problem, we consider a two-dimensional dipolar BEC under the action of an axisymmetric radially periodic lattice potential, $V(r)\sim \cos (2r+\delta )$, with dipole moments polarized perpendicular to the system's plane, which gives rise to isotropic repulsive dipole-dipole interactions (DDIs). Two radial lattices are considered, with $\delta =0$ and $\pi$, i.e., a potential maximum or minimum at $r=0$, respectively. Families of vortex gapsoliton (GSs) with $S=1$ and $S\ge 2$, the latter ones often being unstable in other settings, are completely stable in the present system (at least, up to $S=11$), being trapped in different annular troughs of the radial potential. The vortex solitons with different $S$ may stably coexist in sufficiently far separated troughs. Fundamental GSs, with $S=0$, are found too. In the case of $\delta =0$, the fundamental solitons are ring-shaped modes, with a local minimum at $r=0.$At $\delta =\pi$, they place a density peak at the center.

arXiv comment10 pages, 10 figures and 86 references; Physical Review A, in press

References in corpus (48)

• Feshbach Resonances in Ultracold Gases
• Vortices in a Bose-Einstein Condensate
• Bosons in anisotropic traps: ground state and vortices
• Observation of discrete vortex solitons in optically-induced photonic lattices
• Two-dimensional bright solitons in dipolar Bose-Einstein condensates
• Stable Vortex Solitons in Nonlocal Self-Focusing Nonlinear Media
• The creation of two-dimensional composite solitons in spin-orbit-coupled self-attractive Bose-Einstein condensates in free space
• Vortices in multicomponent Bose-Einstein condensates
• Anisotropic solitons in dipolar Bose-Einstein Condensates
• Solitons in combined linear and nonlinear lattice potentials
• Self-trapping of Necklace beams in Self-focusing Kerr media
• Dipolar gases in quasi one-dimensional geometries
• Dark solitons and vortices in PT-symmetric nonlinear media: from spontaneous symmetry breaking to nonlinear PT phase transitions
• Stable Solitons in Three Dimensional Free Space: Self-Trapped Bose-Einstein Condensates with Spin-Orbit Coupling
• Stable ring vortex solitons in Bessel optical lattices
• Vortex solitons in two-dimensional spin-orbit coupled Bose-Einstein condensates: effects of the Rashba-Dresselhaus coupling and the Zeeman splitting
• Vortex stability in nearly two-dimensional Bose-Einstein condensates with attraction
• Stabilization of bright solitons and vortex solitons in a trapless three-dimensional Bose-Einstein condensate by temporal modulation of the scattering length
• Solitons in quasi one-dimensional Bose-Einstein condensates with competing dipolar and local interactions
• The variety of stable vortical solitons in Ginzburg-Landau media with radially inhomogeneous losses
• Twisted toroidal vortex-solitons in inhomogeneous media with repulsive nonlinearity
• Vortices in attractive Bose-Einstein condensates in two dimensions
• Matter-wave solitons in radially periodic potentials
• Vortex-bright solitons in a spin-orbit coupled spin-$1$ condensate
• Two-dimensional solitons in dipolar Bose-Einstein condensates with spin-orbit coupling
• Vortex solitons in dipolar Bose-Einstein Condensates
• Two-dimensional dipolar gap solitons in free space with spin-orbit coupling
• Surface vortex solitons
• Stable giant vortex annuli in microwave-coupled atomic condensates
• Bright solitons in a 2D spin-orbit-coupled dipolar Bose-Einstein condensate
• Three-dimensional hybrid vortex solitons
• Discrete solitons and vortices on two-dimensional lattices of $\mathcal{P}\mathcal{T}$-symmetric couplers
• Stable vortex and dipole vector solitons in a saturable nonlinear medium
• Anisotropic semi-vortices in dipolar spinor condensates controlled by Zeeman splitting
• Families of Vortex Solitons in Periodic Media
• Creating two-dimensional bright solitons in dipolar Bose-Einstein condensates
• Two-dimensional discrete solitons in dipolar Bose-Einstein condensates
• Two-dimensional solitons with hidden and explicit vorticity in bimodal cubic-quintic media
• Mean-field model of interaction between bright vortex solitons in Bose-Einstein condensates
• Controllable non-local interactions between dark solitons in dipolar condensates
• Two dimensional bright solitons in dipolar Bose-Einstein condensates with tilted dipoles
• Matter-wave solitons supported by field-induced dipole-dipole repulsion with a spatially modulated strength
• Lattice solitons with quadrupolar intersite interactions
• Dynamics of gap solitons in a dipolar Bose-Einstein condensate on a three-dimensional optical lattice
• Solitons and vortices in nonlinear potential wells
• Bright solitons in quasi-one dimensional dipolar condensates with spatially modulated interactions
• Dipolar matter-wave solitons in two-dimensional anisotropic discrete lattices
• A magic tilt angle for stabilizing two-dimensional solitons by dipole-dipole interactions

Cited by in corpus (4)

• Excited states of two-dimensional solitons supported by the spin-orbit coupling and field-induced dipole-dipole repulsion
• Vortex-ring quantum droplets in a radially-periodic potential
• Two-dimensional quantum droplets in binary quadrupolar condensates
• Tightly bound solitons and vortices in three-dimensional bosonic condensates with the electromagnetically-induced gravity