Dark-in-Bright Solitons in Bose-Einstein Condensates with Attractive Interactions
arXiv:cond-mat/0304676 · doi:10.1088/1367-2630/5/1/364
Abstract
We demonstrate a possibility to generate localized states in effectively one-dimensional Bose-Einstein condensates with a negative scattering length in the form of a dark soliton in the presence of an optical lattice (OL) and/or a parabolic magnetic trap. We connect such structures with twisted localized modes (TLMs) that were previously found in the discrete nonlinear Schr{ö}dinger equation. Families of these structures are found as functions of the OL strength, tightness of the magnetic trap, and chemical potential, and their stability regions are identified. Stable bound states of two TLMs are also found. In the case when the TLMs are unstable, their evolution is investigated by means of direct simulations, demonstrating that they transform into large-amplitude fundamental solitons. An analytical approach is also developed, showing that two or several fundamental solitons, with the phase shift between adjacent ones, may form stable bound states, with parameters quite close to those of the TLMs revealed by simulations. TLM structures are found numerically and explained analytically also in the case when the OL is absent, the condensate being confined only by the magnetic trap.
arXiv comment13 pages, 7 figures, New Journal of Physics (in press)
References in corpus (27)
- Theory of Bose-Einstein condensation in trapped gases
- Vortex formation in a stirred Bose-Einstein condensate
- Vortices in a Bose-Einstein Condensate
- Formation and Propagation of Matter Wave Soliton Trains
- Formation of a Matter-Wave Bright Soliton
- Dark Solitons in Bose-Einstein Condensates
- Discrete Solitons and Breathers with Dilute Bose-Einstein Condensates
- Josephson Junction Arrays with Bose-Einstein Condensates
- Dynamics of collapsing and exploding Bose-Einstein condensates
- Watching dark solitons decay into vortex rings in a Bose-Einstein condensate
- Effective wave-equations for the dynamics of cigar-shaped and disc-shaped Bose condensates
- Bose--Einstein solitons in highly asymmetric traps
- Bose-Einstein condensates in standing waves: The cubic nonlinear Schroedinger equation with a periodic potential
- Dynamical Superfluid-Insulator Transition in a Chain of Weakly Coupled Bose-Einstein Condensates
- Fermi systems with long scattering lengths
- Observation of vortex phase singularities in Bose-Einstein condensates
- Nonlinear excitations in arrays of Bose-Einstein condensates
- Bose-Einstein Condensates in Optical Lattices: Band-Gap Structure and Solitons
- Faraday patterns in Bose-Einstein condensates
- Ring Dark Solitons and Vortex Necklaces in Bose-Einstein Condensates
- Regular spatial structures in arrays of Bose-Einstein condensates induced by modulational instability
- Discreteness-Induced Oscillatory Instabilities of Dark Solitons
- Growth and decay of discrete nonlinear Schroedinger breathers interacting with internal modes or standing-wave phonons
- Stability of Attractive Bose-Einstein Condensates in a Periodic Potential
- Improved Semiclassical Approximation for Bose-Einstein Condensates: Application to a BEC in an Optical Potential
- Stability of gap solitons in a Bose-Einstein condensate
- A Novel Mechanism for Superfluidity Breakdown in Weakly Coupled Bose-Einstein Condensates
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- Pattern Forming Dynamical Instabilities of Bose-Einstein Condensates: A Short Review
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- Dynamics of positive- and negative-mass solitons in optical lattices and inverted traps
- Nonlocal gap solitons in PT-symmetric periodic potentials with defocusing nonlinearity
- Two-dimensional loosely and tightly bound solitons in optical lattices and inverted traps
- Dark-bright solitons in coupled nonlinear Schrödinger equations with unequal dispersion coefficients
- Families of spatial solitons in a two-channel waveguide with the cubic-quintic nonlinearity
- Equilibrium solutions of immiscible two-species Bose-Einstein condensates in perturbed harmonic traps
- Nonlinear Lattice Dynamics of Bose-Einstein Condensates
- Dynamical instability of a dark soliton in a quasi-one-dimensional Bose-Einstein condensate perturbed by an optical lattice
- Antisymmetric solitons and their interactions in strongly dispersion-managed fiber-optic systems
- Polarized States and Domain Walls in Spinor Bose-Einstein Condensates
- Beating dark-dark solitons and Zitterbewegung in spin-orbit coupled Bose-Einstein condensates
- Hamiltonian Hopf bifurcations and chaos of NLS/GP standing-wave modes
- Bose-Einstein Condensates in Superlattices
- State transition induced by self-steepening and self phase-modulation
- Some properties of small perturbations against a stationary solution of the nonlinear Schrodinger equation