Bound solitonic states in trapped multidimensional Bose-Einstein condensates

Abstract

We report on the existence and stability of multidimensional bound solitonic states in harmonically-trapped scalar Bose-Einstein condensates. Their equilibrium separation, as a measure of the strength of the soliton-soliton or the solitonic vortex-vortex interaction, is provided for varying chemical potential $\mu$. Static bound dark solitons are shown to be dynamically stable in elongated condensates within a range of intermediate (repulsive) interparticle-interaction strength. Beyond this range the snaking instability manifests during the time evolution of the planar solitons and produces the decay into non-stationary vortex states. A subsequent dynamical recurrence of solitons and vortices can be observed at low $\mu$. At equilibrium, the bifurcations of bound dark solitons are bound solitonic vortices. Among them, both two-open and two-ring vortex lines are demonstrated to exist with both counter- and co-rotating steady velocity fields. The latter flow configurations evolve, for high chemical potential, into a stationary 3D-chain-shaped vortex and a three vortex-antivortex-vortex ring sequence that arrest the otherwise increasing angular or linear momentum respectively. As a common feature to the bifurcated vortex states, their excitation spectra present unstable modes with associated oscillatory dynamics.

10 pages, 9 figures

References in corpus (13)

• Oscillations and interactions of dark and dark-bright solitons in Bose-Einstein condensates
• Experimental observation of oscillating and interacting matter wave dark solitons
• Observation of Solitonic Vortices in Bose-Einstein Condensates
• Guiding-center dynamics of vortex dipoles in Bose-Einstein condensates
• Solitons, solitonic vortices, and vortex rings in a confined Bose-Einstein condensate
• Nonlinear modes for the Gross-Pitaevskii equation -- demonstrative computation approach
• Stability and dynamics of vortex clusters in nonrotated Bose-Einstein condensates
• Chladni solitons and the onset of the snaking instability for dark solitons in confined superfluids
• Stability of excited states of a Bose-Einstein condensate in an anharmonic trap
• Size and dynamics of vortex dipoles in dilute Bose-Einstein condensates
• Vortex dynamics in coherently coupled Bose-Einstein condensates
• Impact of anisotropy on vortex clusters and their dynamics
• Dark-dark-soliton dynamics in two density-coupled Bose-Einstein condensates

Cited by in corpus (4)

• Dynamics of interacting dark soliton stripes
• Engineering phase and density of Bose-Einstein condensates in curved waveguides with toroidal topology
• Nonlinear Waves in an Experimentally Motivated Ring-shaped Bose-Einstein Condensate Setup
• Dynamics of quantum double dark-solitons and an exact finite-size scaling of Bose-Einstein condensation