Controlling the transverse instability of dark solitons and nucleation of vortices by a potential barrier
arXiv:1004.3060 · doi:10.1103/PhysRevA.82.023621
Abstract
We study possibilities to suppress the transverse modulational instability (MI) of dark-soliton stripes in two-dimensional (2D) Bose-Einstein condensates (BECs) and self-defocusing bulk optical waveguides by means of quasi-1D structures. Adding an external repulsive barrier potential (which can be induced in BEC by a laser sheet, or by an embedded plate in optics), we demonstrate that it is possible to reduce the MI wavenumber band, and even render the dark-soliton stripe completely stable. Using this method, we demonstrate the control of the number of vortex pairs nucleated by each spatial period of the modulational perturbation. By means of the perturbation theory, we predict the number of the nucleated vortices per unit length. The analytical results are corroborated by the numerical computation of eigenmodes of small perturbations, as well as by direct simulations of the underlying Gross-Pitaevskii/nonlinear Schrödinger equation.
arXiv comment10 pages, 7 figures. To appear on Phys. Rev. A, 2010
References in corpus (25)
- Formation and Propagation of Matter Wave Soliton Trains
- Formation of a Matter-Wave Bright Soliton
- Dark Solitons in Bose-Einstein Condensates
- The physics of dipolar bosonic quantum gases
- Stable 85Rb Bose-Einstein Condensates with Widely Tunable Interactions
- Watching dark solitons decay into vortex rings in a Bose-Einstein condensate
- Bright gap solitons of atoms with repulsive interaction
- Dark solitons in atomic Bose-Einstein condensates: from theory to experiments
- Oscillations and interactions of dark and dark-bright solitons in Bose-Einstein condensates
- Tuning the scattering length with an optically induced Feshbach resonance
- Formation of bright matter-wave solitons during the collapse of Bose-Einstein condensates
- Theory of Nonlinear Matter Waves in Optical Lattices
- Strongly enhanced inelastic collisions in a Bose-Einstein condensate near Feshbach resonances
- Nonlinear Waves in Bose-Einstein Condensates: Physical Relevance and Mathematical Techniques
- Experimental observation of oscillating and interacting matter wave dark solitons
- Dark soliton states of Bose-Einstein condensates in anisotropic traps
- Confinement-Induced Resonances in Low-Dimensional Quantum Systems
- Controlling a magnetic Feshbach resonance with laser light
- Svortices and the fundamental modes of the "snake instability": Possibility of observation in the gaseous Bose-Einstein Condensate
- Multiple atomic dark solitons in cigar-shaped Bose-Einstein condensates
- Stability of dark solitons in three dimensional dipolar Bose-Einstein condensates
- Static and rotating domain-wall crosses in Bose-Einstein condensates
- Suppression of transverse instabilities of dark solitons and their dispersive shock waves
- Avoiding Infrared Catastrophes in Trapped Bose-Einstein Condensates
- Soliton transverse instabilities in nonlocal nonlinear media
Cited by in corpus (38)
- Dynamics and stability of dark solitons in exciton-polariton condensates
- An Adiabatic Invariant Approach to Transverse Instability: Landau Dynamics of Soliton Filaments
- Many-Body Quantum Dynamics in the Decay of Bent Dark Solitons of Bose-Einstein Condensates
- Stable multidimensional soliton stripes in two-component Bose-Einstein condensates
- Ring dark solitons in three-dimensional Bose-Einstein condensates
- Josephson vortices in a long Josephson junction formed by phase twist in a polariton superfluid
- Emergence and Stability of Vortex Clusters in Bose-Einstein Condensates: a Bifurcation Approach near the Linear Limit
- Formation of granular structures in trapped Bose-Einstein condensates under oscillatory excitations
- Stability of matter-wave solitons in a density-dependent gauge theory
- Dark solitons generation and their instability dynamics in two dimensional condensates
- Experimental observation of turbulent coherent structures in a superfluid of light
- Crow instability in trapped Bose-Einstein condensates
- Stabilization of ring dark solitons in Bose-Einstein condensates
- Stability and dynamics of nonlinear excitations in a two-dimensional droplet-bearing environment
- Snake instability of dark solitons across the BEC-BCS crossover: an effective field theory perspective
- Soliton core filling in superfluid Fermi gases with spin-imbalance
- Dark-bright solitons in spinor polariton condensates under nonresonant pumping
- Self-interfering matter-wave patterns generated by a moving laser obstacle in a two-dimensional Bose-Einstein condensate inside a power trap cut off by box potential boundaries
- Onset of transverse instabilities of confined dark solitons
- Observation of self-patterned defect formation in atomic superfluids -- from ring dark solitons to vortex dipole necklaces
- Stability analysis and attractor dynamics of 3D dark solitons with localized dissipation
- On transverse stability of discrete line solitons
- Planar and Radial Kinks in Nonlinear Klein-Gordon Models: Existence, Stability and Dynamics
- Rotation and Angular Momentum Transfer in Bose-Einstein Condensates Induced by Spiral Dark Solitons
- Dynamics of interacting dark soliton stripes
- Emergence of spiral dark solitons in the merging of rotating Bose-Einstein condensates
- Dynamics and stabilization of bright soliton stripes in the hyperbolic-dispersion nonlinear Schrödinger equation
- From Coherent Modes to Turbulence and Granulation of Trapped Gases
- Adiabatic invariant analysis of dark and dark-bright soliton stripes in two-dimensional Bose-Einstein condensates
- Reversible decay of ring dark solitons
- Transverse instabilities of stripe domains in magnetic thin films with perpendicular magnetic anisotropy
- Transverse instability and dynamics of nonlocal bright solitons
- Dynamical nonlinear excitations induced by interaction quench in a two-dimensional box-trapped Bose-Einstein condensate
- Two-dimensional bright and dark-in-bright dipolar Bose-Einstein condensate solitons on a one-dimensional optical lattice
- Torquing the Condensate: Angular Momentum Transport in Bose-Einstein Condensates by Solitonic "Corkscrew"
- Performing Hong-Ou-Mandel-type Numerical Experiments with Repulsive Condensates: The case of Dark and Dark-bright Solitons
- Solitons and their ghosts in PT-symmetric systems with defocusing nonlinearities
- Variational Approach to the Snake Instability of a Bose-Einstein Condensate Soliton