Vector solitons in nearly-one-dimensional Bose-Einstein condensates
arXiv:cond-mat/0610199 · doi:10.1103/PhysRevA.74.053610
Abstract
We derive a system of nonpolynomial Schroedinger equations (NPSEs) for one-dimensional wave functions of two components in a binary self-attractive Bose-Einstein condensate loaded in a cigar-shaped trap. The system is obtained by means of the variational approximation, starting from the coupled 3D Gross-Pitaevskii equations and assuming, as usual, the factorization of 3D wave functions. The system can be obtained in a tractable form under a natural condition of symmetry between the two species. A family of vector (two-component) soliton solutions is constructed. Collisions between orthogonal solitons (ones belonging to the different components) are investigated by means of simulations. The collisions are essentially inelastic. They result in strong excitation of intrinsic vibrations in the solitons, and create a small orthogonal component ("shadow") in each colliding soliton. The collision may initiate collapse, which depends on the mass and velocities of the solitons.
7 pages, 6 figures; Physical Review A, in press
References in corpus (16)
- Formation and Propagation of Matter Wave Soliton Trains
- Formation of a Matter-Wave Bright Soliton
- Effective wave-equations for the dynamics of cigar-shaped and disc-shaped Bose condensates
- Formation of bright matter-wave solitons during the collapse of Bose-Einstein condensates
- Bose--Einstein solitons in highly asymmetric traps
- Dynamics of dark solitons in elongated Bose-Einstein condensates
- Spontaneous soliton formation and modulational instability in Bose-Einstein condensates
- Deviation from one-dimensionality in stationary properties and collisional dynamics of matter-wave solitons
- Bose-condensed Bright Solitons under Transverse Confinement
- Friction and diffusion of matter-wave bright solitons
- A pulsed atomic soliton laser
- Oscillation Frequencies for a Bose Condensate in a Triaxial Magnetic Trap
- Improved Semiclassical Approximation for Bose-Einstein Condensates: Application to a BEC in an Optical Potential
- Pulsed Macroscopic Quantum Tunneling of Falling Bose Condensates
- An effective potential for one-dimensional matter-wave solitons in an axially inhomogeneous trap
- Dimensional Effects on Solitonic Matter and Optical Waves with Normal and Anomalous Dispersion
Cited by in corpus (47)
- Bright solitons in spin-orbit-coupled Bose-Einstein condensates
- Localized modes in dense repulsive and attractive Bose-Einstein condensates with spin-orbit and Rabi couplings
- Dynamics of Dark-Bright Solitons in Cigar-Shaped Bose-Einstein Condensates
- Rabi flopping induces spatial demixing dynamics
- Vortex-bright solitons in a spin-orbit coupled spin- condensate
- Faraday waves in binary non-miscible Bose-Einstein condensates
- Two- and one-dimensional gap solitons in spin-orbit-coupled systems with Zeeman splitting
- Nonlinear modes in binary bosonic condensates with the pseudo-spin-orbital coupling
- Three-dimensional vortex-bright solitons in a spin-orbit coupled spin- condensate
- Effective Nonlinear Schrödinger Equations for Cigar-Shaped and Disk-Shaped Fermi Superfluids at Unitarity
- Matter-wave vortices in cigar-shaped and toroidal waveguides
- Solitons and solitary vortices in "pancake"-shaped Bose-Einstein condensates
- Atomic Josephson junction with two bosonic species
- Weakly linked binary mixtures of F=1 87-Rb Bose-Einstein condensates
- Soliton stability and collapse in the discrete nonpolynomial Schrodinger equation with dipole-dipole interactions
- Gap solitons in a model of a superfluid fermion gas in optical lattices
- Vector solitons in a spin-orbit coupled spin- Bose-Einstein condensate
- Rabi switch of condensate wavefunctions in a multicomponent Bose gas
- Bose-Einstein condensates under a spatially-modulated transverse confinement
- The inverse problem for the Gross - Pitaevskii equation
- Solitary waves for linearly coupled nonlinear Schrodinger equations with inhomogeneous coefficients
- Symbiotic gap and semi-gap solitons in Bose-Einstein condensates
- Rabi-Josephson oscillations and self-trapped dynamics in atomic junctions with two bosonic species
- Bright solitons in ultracold atoms
- Phase-separation of vector solitons in spin-orbit coupled spin-1 condensates
- Nonlinear quantum model for atomic Josephson junctions with one and two bosonic species
- Generalized nonpolynomial Schrodinger equations for matter waves under anisotropic transverse confinement
- Gap solitons in superfluid boson-fermion mixtures
- Bright soliton dynamics in Spin Orbit-Rabi coupled Bose-Einstein condensates
- Nonlinear dressed states at the miscibility-immiscibility threshold
- Mixing-demixing transition and collapse of a vortex state in a quasi-two-dimensional boson-fermion mixture
- Collapse instability of solitons in the nonpolynomial Schrödinger equation with dipole-dipole interactions
- Quasi-one-dimensional Bose-Einstein condensates in nonlinear lattices
- A self-bound matter-wave boson-fermion quantum ball
- Spontaneous symmetry breaking and collapse in bosonic Josephson junctions
- Phase Diagram of Solitons in the Polar Phase of a Spin-1 Bose-Einstein Condensate
- Effective equations for matter-wave gap solitons in higher-order transversal states
- Analogy electromagnetism-acoustics: Validation and application to local impedance active control for sound absorption
- Dynamics and kinetics of quasiparticle decay in a nearly-one-dimensional degenerate Bose gas
- Stable multi-peak vector solitons in spin-orbit coupled spin-1 polar condensates
- Scattering of a dark-bright soliton by an impurity
- Effects of Axial Vorticity in Elongated Mixtures of Bose-Einstein Condensates
- Quasi-one-dimensional approximation for Bose-Einstein condensates transversely trapped by a funnel potential
- Application of the Feshbach-resonance management to a tightly confined Bose-Einstein condensate
- Matter-waves in Bose-Einstein condensates with spin-orbit and Rabi couplings
- Dark solitons in the unitary Bose gas
- Dynamics of kicked matter-wave solitons in an optical lattice