Stabilization of ring dark solitons in Bose-Einstein condensates

Abstract

Earlier work has shown that ring dark solitons in two-dimensional Bose-Einstein condensate are generically unstable. In this work, we propose a way of stabilizing the ring dark soliton via a radial Gaussian external potential. We investigate the existence and stability of the ring dark soliton upon variations of the chemical potential and also of the strength of the radial potential. Numerical results show that the ring dark soliton can be stabilized in a suitable interval of external potential strengths and chemical potentials. We also explore different proposed particle pictures considering the ring as a moving particle and find, where appropriate, results in very good qualitative and also reasonable quantitative agreement with the numerical findings.

12 pages, 17 figures

References in corpus (11)

• Oscillations and interactions of dark and dark-bright solitons in Bose-Einstein condensates
• Formation of bright matter-wave solitons during the collapse of Bose-Einstein condensates
• Experimental demonstration of painting arbitrary and dynamic potentials for Bose-Einstein condensates
• Generation of dark-bright soliton trains in superfluid-superfluid counterflow
• Experimental observation of oscillating and interacting matter wave dark solitons
• Observation of Dirac Monopoles in a Synthetic Magnetic Field
• Stationary and non-stationary fluid flow of a Bose-Einstein condensate through a penetrable barrier
• Controlling the transverse instability of dark solitons and nucleation of vortices by a potential barrier
• Dynamics of ring dark solitons in Bose-Einstein condensates and nonlinear optics
• Exact Soliton-like Solutions of the Radial Gross-Pitaevskii Equation
• Solitons and vortices in an evolving Bose-Einstein condensate

Cited by in corpus (11)

• Dark spherical shell solitons in three-dimensional Bose-Einstein condensates: Existence, stability and dynamics
• An Adiabatic Invariant Approach to Transverse Instability: Landau Dynamics of Soliton Filaments
• Computing stationary solutions of the two-dimensional Gross-Pitaevskii equation with Deflated continuation
• Single and Multiple Vortex Rings in Three-Dimensional Bose-Einstein Condensates: Existence, Stability and Dynamics
• Ring dark solitons in three-dimensional Bose-Einstein condensates
• Engineering Dark Solitary waves in Ring-Trap Bose-Einstein condensates
• Observation of self-patterned defect formation in atomic superfluids -- from ring dark solitons to vortex dipole necklaces
• Quench dynamics of Bose-Einstein condensates in boxlike traps
• Pairwise Interactions of Ring Dark Solitons with Vortices and other Rings: Stationary States, Stability Features and Nonlinear Dynamics
• Stable and mobile two-dimensional dipolar ring-dark-in-bright Bose-Einstein condensate soliton
• Performing Hong-Ou-Mandel-type Numerical Experiments with Repulsive Condensates: The case of Dark and Dark-bright Solitons