Modulational Instability and Complex Dynamics of Confined Matter-Wave Solitons
arXiv:cond-mat/0307206 · doi:10.1103/PhysRevLett.91.080405
Abstract
We study the formation of bright solitons in a Bose-Einstein condensate of Li atoms induced by a sudden change in the sign of the scattering length from positive to negative, as reported in a recent experiment (Nature {\bf 417}, 150 (2002)). The numerical simulations are performed by using the 3D Gross-Pitaevskii equation (GPE) with a dissipative three-body term. We show that a number of bright solitons is produced and this can be interpreted in terms of the modulational instability of the time-dependent macroscopic wave function of the Bose condensate. In particular, we derive a simple formula for the number of solitons that is in good agreement with the numerical results of 3D GPE. By investigating the long time evolution of the soliton train solving the 1D GPE with three-body dissipation we find that adjacent solitons repel each other due to their phase difference. In addition, we find that during the motion of the soliton train in an axial harmonic potential the number of solitonic peaks changes in time and the density of individual peaks shows an intermittent behavior. Such a complex dynamics explains the ``missing solitons'' frequently found in the experiment.
to be published in Phys. Rev. Lett
Cited by in corpus (74)
- Formation of bright matter-wave solitons during the collapse of Bose-Einstein condensates
- Dynamics of a Bright Soliton in Bose-Einstein condensates with Time-Dependent Atomic Scattering Length in an Expulsive Parabolic Potential
- Dipolar physics: A review of experiments with magnetic quantum gases
- Nonlinear Waves in Bose-Einstein Condensates: Physical Relevance and Mathematical Techniques
- Formation of matter-wave soliton trains by modulational instability
- Multidimensional solitons in a low-dimensional periodic potential
- Pattern Forming Dynamical Instabilities of Bose-Einstein Condensates: A Short Review
- Multiple domain formation induced by modulation instability in two-component Bose-Einstein condensates
- Dynamical instability and domain formation in a spin-1 Bose condensate
- Matter rogue wave in Bose-Einstein condensates with attractive atomic interaction
- Observation of a Modulational Instability in Bose-Einstein condensates
- Stabilization of bright solitons and vortex solitons in a trapless three-dimensional Bose-Einstein condensate by temporal modulation of the scattering length
- Modulation instability and solitary wave formation in two-component Bose-Einstein condensates
- Instability-induced formation and non-equilibrium dynamics of phase defects in polariton condensates
- Stabilized two-dimensional vector solitons
- A pulsed atomic soliton laser
- Formation of dynamical Schrödinger cats in low-dimensional ultracold attractive Bose gases
- The exact rogue wave recurrence in the NLS periodic setting via matched asymptotic expansions, for 1 and 2 unstable modes
- Modulational instability in binary spin-orbit-coupled Bose-Einstein condensates
- Incoherent matter-wave solitons
- Bright and dark solitons in a quasi 1D Bose-Einstein condensates modelled by 1D Gross-Pitaevskii equation with time-dependent parameters
- Transition from 3D to 1D in Bose Gases at Zero Temperature
- Fidelity of a Bose-Einstein Condensate
- Dynamics of a BEC bright soliton in an expulsive potential
- Bright Solitary-Matter-Wave Collisions in a Harmonic Trap: Regimes of Soliton-like Behaviour
- Death of soliton trains in attractive Bose-Einstein condensates
- Modulational instability in a layered Kerr medium: Theory and Experiment
- Delocalizing transition of multidimensional solitons in Bose-Einstein condensates
- One-dimensional superfluid Bose-Fermi mixture: mixing, demixing and bright solitons
- Observation of universal quench dynamics and Townes soliton formation from modulational instability in two-dimensional Bose gases
- Avoiding Infrared Catastrophes in Trapped Bose-Einstein Condensates
- Modulational instability and soliton generation in chiral Bose-Einstein condensates with zero-energy nonlinearity
- Propagation, breathing and transition of matter-wave packet trains
- Bright solitary waves and trapped solutions in Bose-Einstein condensates with attractive interactions
- Quantum Phases of Attractive Matter Waves in a Toroidal Trap
- Modulation instability in high-order coupled nonlinear Schrödinger equations with saturable nonlinearities
- Modulation instability associated nonlinear dynamics of spin-orbit coupled Bose-Einstein condensates
- The effect of a small loss or gain in the periodic NLS anomalous wave dynamics. I
- Superfluid Fermi-Fermi mixture: phase diagram, stability, and soliton formation
- Nonautonomous Bright and Dark Solitons of Bose-Einstein Condensates with Feshbach-Managed Time-Dependent Scattering Length
- Domain-wall solutions of spinor Bose-Einstein condensates in an optical lattice
- The finite gap method and the periodic NLS Cauchy problem of the anomalous waves, for a finite number of unstable modes
- Bright solitons in ultracold atoms
- Modulational Instability in Nonlinearity-Managed Optical Media
- Tunneling Dynamics Between Atomic Bright Solitons
- Bright solitary waves of trapped atomic Bose-Einstein condensates
- Matter-wave solitons supported by dissipation
- Effective one-component description of two-component Bose-Einstein condensate dynamics
- Soliton trains after interaction quenches in Bose mixtures
- Soliton localization in Bose-Einstein condensates with time-dependent harmonic potential and scattering length
- Collapse of triaxial bright solitons in atomic Bose-Einstein condensates
- Formation of soliton trains in Bose-Einstein condensates as a nonlinear Fresnel diffraction of matter waves
- Modulational instability in nonlocal Kerr-type media with random parameters
- Spontaneous symmetry breaking and collapse in bosonic Josephson junctions
- Bose-Einstein condensate in an elliptical waveguide
- Emission of correlated jets from a driven matter-wave soliton in a quasi-one-dimensional geometry
- Soliton collisions in Bose-Einstein condensates with current-dependent interactions
- Beyond Mean-Field Theory for Attractive Bosons under Transverse Harmonic Confinement
- Collisions of solitary waves in condensates beyond mean-field theory
- Formation of soliton trains in Bose-Einstein condensates by temporal Talbot effect
- Vortex-line solitons in a periodically modulated Bose gas
- Dissipative solitons which cannot be trapped
- Stabilities of one-dimensional stationary states of Bose-Einstein condensates
- Random phases in Bose-Einstein condensates with higher order nonlinearities
- One dimensional Bose-Einstein condensate under the effect of the extended uncertainty principle
- Stability of Fock states in a two-component Bose-Einstein condensate with a regular classical counterpart
- Study of implosion in an attractive Bose-Einstein condensate
- Stability and collapse of localized solutions of the controlled three-dimensional Gross-Pitaevskii equation
- Dynamics of kicked matter-wave solitons in an optical lattice
- Impurity induced Modulational instability in Bose-Einstein condensates
- Continuous-wave solutions and modulational instability in spinor condensates of positronium
- Interaction control and bright solitons in coherently-coupled Bose-Einstein condensates
- Modulational instability and quantum droplets in a two-dimensional Bose-Einstein condensate
- Solitary-waves of the Nonpolynomial Schrodinger Equation: Bright Solitons in Bose-Einstein Condensates