Vortical and fundamental solitons in dipolar Bose-Einstein condensates trapped in isotropic and anisotropic nonlinear potentials

Abstract

We predict the existence of stable fundamental and vortical bright solitons in dipolar Bose-Einstein condensates (BECs) with repulsive dipole-dipole interactions (DDI). The condensate is trapped in the 2D plane with the help of the repulsive contact interactions whose local strength grows $\sim r^4$ from the center to periphery, while dipoles are oriented perpendicular to the self-trapping plane. The confinement in the perpendicular direction is provided by the usual harmonic-oscillator potential. The objective is to extend the recently induced concept of the self-trapping of bright solitons and solitary vortices in the pseudopotential, which is induced by the repulsive local nonlinearity with the strength growing from the center to periphery, to the case when the trapping mechanism competes with the long-range repulsive DDI. Another objective is to extend the analysis for elliptic vortices and solitons in an anisotropic nonlinear pseudopotential. Using the variational approximation (VA) and numerical simulations, we construct families of self-trapped modes with vorticities $\ell =0$ (fundamental solitons), $\ell =1$, and $\ell =2$. The fundamental solitons and vortices with $\ell =1$ exist up to respective critical values of the eccentricity of the anisotropic pseudopotential, being stable in the entire existence regions. The vortices with $\ell =2$ are stable solely in the isotropic model.

15 pages, 14 figures, J. Physics B: At. Mol. Opt. Phys. (in press)

References in corpus (13)

• Many-Body Physics with Ultracold Gases
• Tuning the scattering length with an optically induced Feshbach resonance
• Anisotropic solitons in dipolar Bose-Einstein Condensates
• C programs for solving the time-dependent Gross-Pitaevskii equation in a fully anisotropic trap
• Dipolar gases in quasi one-dimensional geometries
• Vortex stability in nearly two-dimensional Bose-Einstein condensates with attraction
• Vortex solitons in dipolar Bose-Einstein Condensates
• Solitons in Tonks-Girardeau gas with dipolar interactions
• Symmetry breaking in dipolar matter-wave solitons in dual-core couplers
• Variational calculations for anisotropic solitons in dipolar Bose-Einstein condensates
• Dipolar Bose-Einstein condensate soliton on a two-dimensional optical lattice
• Self-trapping of Fermi and Bose gases under spatially modulated repulsive nonlinearity and transverse confinement
• Solitary modes in nonlocal media with inhomogeneous self-repulsive nonlinearity

Cited by in corpus (6)

• CUDA programs for solving the time-dependent dipolar Gross-Pitaevskii equation in an anisotropic trap
• OpenMP Fortran and C programs for solving the time-dependent Gross-Pitaevskii equation in an anisotropic trap
• A magic tilt angle for stabilizing two-dimensional solitons by dipole-dipole interactions
• Effect of an oscillating Gaussian obstacle in a Dipolar Bose-Einstein condensate
• Solitons and Vortices in Two-dimensional Discrete Nonlinear Schrodinger Systems with Spatially Modulated Nonlinearity
• Stability and collapse of fermions in a binary dipolar boson-fermion 164Dy-161Dy mixture