Bose--Einstein solitons in highly asymmetric traps
arXiv:quant-ph/9803038 · doi:10.1103/PhysRevA.57.3837
Abstract
We obtain analytic solutions to the Gross-Pitaevskii equation with negative scattering length in highly asymmetric traps. We find that in these traps the Bose--Einstein condensates behave like quasiparticles and do not expand when the trapping in one direction is eliminated. The results can be applicable to the control of the motion of Bose--Einstein condensates.
12 pages, Latex, Figures available under request on [email protected]
References in corpus (4)
- Finite temperature excitations of a trapped Bose gas
- A particle-number-conserving Bogoliubov method which demonstrates the validity of the time-dependent Gross-Pitaevskii equation for a highly condensed Bose gas
- Stability and collective excitations of a two-component Bose-condensed gas: a moment approach
- Bose-Einstein Condensation in a Trap: the Case of a Dense Condensate
Cited by in corpus (215)
- Formation and Propagation of Matter Wave Soliton Trains
- Formation of a Matter-Wave Bright Soliton
- Dark solitons in atomic Bose-Einstein condensates: from theory to experiments
- Formation of bright matter-wave solitons during the collapse of Bose-Einstein condensates
- Theory of Nonlinear Matter Waves in Optical Lattices
- Bright soliton to quantum droplet transition in a mixture of Bose-Einstein condensates
- Controlled Collapse of a Bose-Einstein Condensate
- Dynamics of a Bright Soliton in Bose-Einstein condensates with Time-Dependent Atomic Scattering Length in an Expulsive Parabolic Potential
- Nonlinear Waves in Bose-Einstein Condensates: Physical Relevance and Mathematical Techniques
- Stationary solutions of the one-dimensional nonlinear Schroedinger equation: I. Case of repulsive nonlinearity
- Formation of matter-wave soliton trains by modulational instability
- Modulational Instability and Complex Dynamics of Confined Matter-Wave Solitons
- Bright solitons in spin-orbit-coupled Bose-Einstein condensates
- Ring Dark Solitons and Vortex Necklaces in Bose-Einstein Condensates
- Bright-dark solitons and their collisions in mixed N-coupled nonlinear Schrödinger equations
- Coupled-mode theory for Bose-Einstein condensates
- A new class of exact solitary wave solutions of one dimensional Gross-Pitaevskii equation
- Bright-Dark Soliton Complexes in Spinor Bose-Einstein Condensates
- Landau dynamics of a grey soliton in a trapped condensate
- Controllable soliton emission from a Bose-Einstein condensate
- Matter-wave solitons of collisionally inhomogeneous condensates
- Families of Matter-Waves for Two-Component Bose-Einstein Condensates
- Optical dipole traps and atomic waveguides based on Bessel light beams
- Deviation from one-dimensionality in stationary properties and collisional dynamics of matter-wave solitons
- Stabilization of solitons of the multidimensional nonlinear Schrodinger equation: Matter-wave breathers
- Symbiotic Solitons in Heteronuclear Multicomponent Bose-Einstein condensates
- Bose-condensed Bright Solitons under Transverse Confinement
- Creation of gap solitons in Bose-Einstein condensates
- Bright solitons in coupled defocusing NLS equation supported by coupling: Application to Bose-Einstein condensation
- 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
- Nonlinear Thouless pumping: solitons and transport breakdown
- Bright Matter-Wave Soliton Collisions in a Harmonic Trap: Regular and Chaotic Dynamics
- Vector solitons in nearly-one-dimensional Bose-Einstein condensates
- Controlling soliton interactions in Bose-Einstein condensates by synchronizing the Feshbach resonance and harmonic trap
- Stability of Attractive Bose-Einstein Condensates in a Periodic Potential
- Averaging For Solitons With Nonlinearity Management
- Dynamics of the Bose-Einstein condensate: quasi-one-dimension and beyond
- Feshbach resonance induced shock waves in Bose-Einstein condensates
- Stabilized two-dimensional vector solitons
- Multi-component gap solitons in spinor Bose-Einstein condensates
- Dynamics of positive- and negative-mass solitons in optical lattices and inverted traps
- Solitons in Bose-Einstein Condensates with time-dependent atomic scattering length in an expulsive parabolic and complex potential
- Transmission of matter wave solitons through nonlinear traps and barriers
- Nonlinear quantum interferometry with Bose condensed atoms
- Stability of dark solitons in a Bose-Einstein condensate trapped in an optical lattice
- Fermionic bright soliton in a boson-fermion mixture
- Localized breathing solutions for Bose-Einstein condensates in periodic traps
- Analysis of an atom laser based on the spatial control of the scattering length
- Formation of dynamical Schrödinger cats in low-dimensional ultracold attractive Bose gases
- Symmetric and asymmetric solitons in linearly coupled Bose-Einstein condensates trapped in optical lattices
- Faraday Patterns in low-dimensional Bose-Einstein Condensates
- Critical numbers of attractive Bose-condensed atoms in asymmetric traps
- Manipulating matter-rogue waves and breathers in Bose-Einstein condensates
- Stability of vortices in rotating taps: a 3d analysis
- Sub-Diffractive Band-Edge Solitons in Bose-Einstein Condensates in Periodic Potentials
- Interference of Dark Matter Solitons and Galactic Offsets
- Fast frictionless dynamics as a toolbox for low-dimensional Bose-Einstein condensates
- Barrier resonances in Bose-Einstein condensation
- Incoherent matter-wave solitons
- Static and rotating domain-wall crosses in Bose-Einstein condensates
- Collisions of bright solitary matter waves
- Bright and dark solitons in a quasi 1D Bose-Einstein condensates modelled by 1D Gross-Pitaevskii equation with time-dependent parameters
- Adiabatic Compression of Soliton Matter Waves
- Three-dimensional vortex-bright solitons in a spin-orbit coupled spin- condensate
- Dispersion control for matter waves and gap solitons in optical superlattices
- Modulated Amplitude Waves in Collisionally Inhomogeneous Bose-Einstein Condensates
- Oscillations of dark solitons in trapped Bose-Einstein condensates
- Dynamics of a BEC bright soliton in an expulsive potential
- The piston dispersive shock wave problem
- Structural instability of vortices in Bose-Einstein condensates
- Matter-wave solitons with a periodic, piecewise-constant nonlinearity
- Collective oscillations of one-dimensional Bose-Einstein gas in a time-varying trap potential and atomic scattering length
- Tightly bound gap solitons in a Fermi gas
- Quantum dark soliton (qubits) in Bose Einstein condensates
- Transcritical flow of a Bose-Einstein condensate through a penetrable barrier
- Death of soliton trains in attractive Bose-Einstein condensates
- Matter-wave vortices in cigar-shaped and toroidal waveguides
- Stability and Decay Rates of Non-Isotropic Attractive Bose-Einstein Condensates
- Dynamics of Bose-Einstein condensates in cigar-shaped traps
- Stability of excited states of a Bose-Einstein condensate in an anharmonic trap
- Gap solitons in a model of a superfluid fermion gas in optical lattices
- Dynamics of quasi-one-dimensional bright and vortex solitons of a dipolar Bose-Einstein condensate with repulsive atomic interaction
- Mean-field model of interaction between bright vortex solitons in Bose-Einstein condensates
- Bose-Einstein condensation: Twenty years after
- One-dimensional superfluid Bose-Fermi mixture: mixing, demixing and bright solitons
- Nonlinear Lattice Dynamics of Bose-Einstein Condensates
- Statics, Dynamics and Manipulations of Bright Matter-Wave Solitons in Optical Lattices
- Avoiding Infrared Catastrophes in Trapped Bose-Einstein Condensates
- Bright solitary waves and trapped solutions in Bose-Einstein condensates with attractive interactions
- Spatial solitons in thermo-optical media from the nonlinear Schrodinger-Poisson equation and dark matter analogues
- Bose-Einstein condensates under a spatially-modulated transverse confinement
- Multi-ring, stripe, and super-lattice solitons in a spin-orbit coupled spin-1 condensate
- Dark-in-Bright Solitons in Bose-Einstein Condensates with Attractive Interactions
- Solitary waves for linearly coupled nonlinear Schrodinger equations with inhomogeneous coefficients
- Hydrodynamics of Bose and Fermi superfluids at zero temperature: the superfluid nonlinear Schrodinger equation
- Temporal dynamics of tunneling. Hydrodynamic approach
- Symbiotic gap and semi-gap solitons in Bose-Einstein condensates
- Dark matter-wave solitons in the dimensionality crossover
- Superfluid Fermi-Fermi mixture: phase diagram, stability, and soliton formation
- Supersolitons: Solitonic excitations in atomic soliton chains
- Dynamics and Manipulation of Matter-Wave Solitons in Optical Superlattices
- Breathing mode in two-dimensional binary self-bound Bose gas droplets
- Polarized States and Domain Walls in Spinor Bose-Einstein Condensates
- Localization phenomena in Nonlinear Schrodinger equations with spatially inhomogeneous nonlinearities: Theory and applications to Bose-Einstein condensates
- Optimal trap shape for a Bose gas with attractive interactions
- One-dimension cubic-quintic Gross-Pitaevskii equation in Bose-Einstein condensates in a trap potential
- Self-trapped quantum balls in binary Bose-Einstein condensates
- Generalized nonpolynomial Schrodinger equations for matter waves under anisotropic transverse confinement
- Dynamics of trapped bright solitons in the presence of localized inhomogeneities
- Controllable matter-wave switchers with vector Bose-Einstein solitons
- Q-ball dynamics from atomic Bose-Einstein condensates
- Gap solitons in superfluid boson-fermion mixtures
- Nonlinear waves in a cylindrical Bose-Einstein condensate
- Stable, mobile, dark-in-bright, dipolar Bose-Einstein condensate soliton
- Simple method for excitation of a Bose-Einstein condensate
- Stability of matter-wave solitons in a density-dependent gauge theory
- Dynamics of gap solitons in a dipolar Bose-Einstein condensate on a three-dimensional optical lattice
- Methods for Preparing Quantum Gases of Lithium
- Bright solitary waves of trapped atomic Bose-Einstein condensates
- Engineering Bright Matter-Wave Solitons of Dipolar Condensates
- Laser tweezers for atomic solitons
- Phase engineering of chirped rogue waves in Bose-Einstein condensates with a variable scattering length in an expulsive potential
- Dark soliton oscillations in Bose-Einstein condensates with multi-body interactions
- Self-localized Solitons of a q-Deformed Quantum System
- Statics and dynamics of a self-bound matter-wave quantum ball
- Unidimensional reduction of the 3D Gross-Pitaevskii equation with two- and three-body interactions
- Matter-wave solitons supported by dissipation
- Variational determination of approximate bright matter-wave soliton solutions in anisotropic traps
- Dipolar Bose-Einstein condensate soliton on a two-dimensional optical lattice
- Anomalous rotational properties of Bose-Einstein condensates in asymmetric traps
- Elastic collision and molecule formation of spatiotemporal light bullets in a cubic-quintic nonlinear medium
- Acceleration and localization of matter in a ring trap
- Constraining R-parity violating couplings from B --> PP decays using QCD improved factorization method
- Mean-field model for the interference of matter waves from a three-dimensional optical trap
- Nonlinearity-assisted quantum tunneling in a matter-wave interferometer
- Droplet under confinement: Competition and coexistence with soliton bound state
- Formation of soliton trains in Bose-Einstein condensates as a nonlinear Fresnel diffraction of matter waves
- Collapse instability of solitons in the nonpolynomial Schrödinger equation with dipole-dipole interactions
- Soliton localization in Bose-Einstein condensates with time-dependent harmonic potential and scattering length
- A method for collective excitation of Bose-Einstein condensate
- Collapse of triaxial bright solitons in atomic Bose-Einstein condensates
- Symmetry-assisted vorticity control in Bose-Einstein condensates
- Nonlinear dynamics of Bose-condensed gases by means of a low- to high-density variational approach
- Partially incoherent gap solitons in Bose-Einstein condensates
- Defect modes of a Bose-Einstein condensate in an optical lattice with a localized impurity
- Quantum control beyond the adiabatic regime in 2D curved matter-wave guides
- A ring accelerator for matter-wave solitons
- Demixing and symmetry breaking in binary dipolar Bose-Einstein condensate solitons
- Solitons in one-dimensional interacting Bose-Einstein system
- Spontaneous symmetry breaking of self-trapped and leaky modes in quasi-double-well potentials
- Statics and dynamics of a binary dipolar Bose-Einstein condensate soliton
- Sculpting quasi one-dimensional Bose-Einstein condensate to generate calibrated matter-waves
- Spontaneous symmetry breaking and collapse in bosonic Josephson junctions
- Coherent emission of atomic soliton pairs by Feshbach-resonance tuning
- Outcoupling vector solitons from a Bose-Einstein condensate with time-dependent interatomic forces
- Effects of spatially inhomogeneous atomic interactions on Bose-Einstein condensates in optical lattices
- Dissipation-managed soliton in a quasi-one-dimensional Bose-Einstein condensate
- Stable multi-peak vector solitons in spin-orbit coupled spin-1 polar condensates
- Quasi-one-dimensional harmonically trapped quantum droplets
- Bound states of attractive Bose-Einstein condensates in shallow traps in two and three dimensions
- Quantum Atom Optics: Theory and Applications to Quantum Technology
- Collisionally inhomogeneous Bose-Einstein condensates in double-well potentials
- Dynamics and stability of Bose-Einstein solitons in tilted optical lattices
- Dimensional Effects on Solitonic Matter and Optical Waves with Normal and Anomalous Dispersion
- Localization of nonlinear excitations in curved waveguides
- Statics and dynamics of a self-bound dipolar matter-wave droplet
- Vortex-antivortex wavefunction of a degenerate quantum gas
- Bright solitary waves of atomic Bose-Einstein condensates under rotation
- Supersonic flow of a Bose-Einstein condensate past an oscillating attractive-repulsive obstacle
- Simulation of a stationary dark soliton in a trapped zero-temperature Bose-Einstein condensate
- Vortex nucleation in rotating Bose-Einstein condensates with density-dependent gauge potential
- Structure and stability of two-dimensional Bose-Einstein condensates under both harmonic and lattice confinement
- Stabilized vortex solitons in layered Kerr media
- Beyond Mean-Field Theory for Attractive Bosons under Transverse Harmonic Confinement
- Solutions of Gross-Pitaevskii equations beyond the hydrodynamic approximation: Application to the vortex problem
- Deep inelastic collision of two-dimensional anisotropic dipolar condensate solitons
- Multiple-scale analysis for resonance reflection by a one-dimensional rectangular barrier in the Gross-Pitaevskii problem
- Supersolid Gap Soliton in a Bose-Einstein Condensate and Optical Ring Cavity coupling system
- Soliton response to transient trap variations
- Symmetry breaking in competing single-well linear-nonlinear potentials
- Effect of quartic-quintic beyond-mean-field interactions on a self-bound dipolar droplet
- Rogue Quantum Harmonic Oscillations
- p-Wave stabilization of three-dimensional Bose-Fermi solitons
- Time-dependent spectral renormalization method
- Limitation of the Lee-Huang-Yang interaction in forming a self-bound state in Bose-Einstein condensates
- An atomic bright vector soliton as an active particle
- Relative and center-of-mass motion in the attractive Bose-Hubbard model
- Bright solitons in a quasi-one-dimensional reduced model of a dipolar Bose-Einstein condensate with repulsive short-range interactions
- Above-Barrier Reflection of Cold Atoms by Resonant Laser Light within the Gross-Pitaevskii Approximation
- Solitonic fixed point attractors in the complex Ginzburg-Landau equation for associative memories
- Stable and mobile excited two-dimensional dipolar Bose-Einstein condensate solitons
- Dynamical generation of interwoven soliton trains by nonlinear emission in binary Bose-Einstein condensates
- Study of implosion in an attractive Bose-Einstein condensate
- Quantum reflection: The invisible quantum barrier
- Two-dimensional bright and dark-in-bright dipolar Bose-Einstein condensate solitons on a one-dimensional optical lattice
- The Invisible Quantum Barrier
- Matter wave soliton collisions in the quasi one dimensional potential
- Stability and collapse of localized solutions of the controlled three-dimensional Gross-Pitaevskii equation
- Modulational instability, solitons and periodic waves in models of quantum degenerate Boson-Fermion mixtures
- Quasi-one- and quasi-two-dimensional symbiotic solitons bound by dipolar interaction
- Riemann-Hilbert approach to the inhomogeneous fifth-order nonlinear Schrödinger equation with non-vanishing boundary conditions
- Matter-Wave Solitons in the Presence of Collisional Inhomogeneities: Perturbation theory and the impact of derivative terms
- Continuous atom laser with Bose-Einstein condensates involving three-body interactions
- Collective Dynamics and Atom Loss in Bright Soliton Matter Waves
- Collapse in boson-fermion mixtures with all-repulsive interactions
- Quantum N-Boson States and Quantized Motion of Solitonic Droplets: Universal Scaling Properties in Low Dimensions
- Interaction control and bright solitons in coherently-coupled Bose-Einstein condensates
- Localized Asymmetric Atomic Matter Waves in Two-Component Bose-Einstein Condensates Coupled with Two Photon Microwave Field
- Diffractions of Bose-Einstein Condensate in Quantized Light Fields
- Fractional-Period Excitations in Continuum Periodic Systems
- The method of moments for Nonlinear Schrodinger Equations: Theory and Applications
- Excited stationary states of trapped Bose-Einstein condensates
- Interaction induced trapping and pulsed emission of a magnetically insensitive Bose-Einstein Condensate
- Quasi-two-dimensional soliton in a self-repulsive spin-orbit-coupled dipolar binary condensate