Solitons in Tonks-Girardeau gas with dipolar interactions
arXiv:0907.3172 · doi:10.1088/0953-4075/42/17/175302
Abstract
The existence of bright solitons in the model of the Tonks-Girardeau (TG) gas with dipole-dipole (DD) interactions is reported. The governing equation is taken as the quintic nonlinear Schrödinger equation (NLSE) with the nonlocal cubic term accounting for the DD attraction. In different regions of the parameter space (the dipole moment and atom number), matter-wave solitons feature flat-top or compacton-like shapes. For the flat-top states, the NLSE with the local cubic-quintic (CQ) nonlinearity is shown to be a good approximation. Specific dynamical effects are studied assuming that the strength of the DD interactions is ramped up or drops to zero. Generation of dark-soliton pairs in the gas shrinking under the action of the intensifying DD attraction is observed. Dark solitons exhibit the particle-like collision behavior. Peculiarities of dipole solitons in the TG gas are highlighted by comparison with the NLSE including the local CQ terms. Collisions between the solitons are studied too. In many cases, the collisions result in merger of the solitons into a breather, due to strong attraction between them.
15 pages, 8 figures, accepted by J. Phys. B: At. Mol. Opt. Phys
References in corpus (48)
- Bose-Einstein condensation of chromium
- Oscillations and interactions of dark and dark-bright solitons in Bose-Einstein condensates
- Formation of ultracold polar molecules in the rovibrational ground state
- Observation of optical spatial solitons in a highly nonlocal medium
- Strong dipolar effects in a quantum ferrofluid
- Observation of dipole-dipole interaction in a degenerate quantum gas
- Stabilizing a purely dipolar quantum gas against collapse
- Modulational instability in nonlocal nonlinear Kerr media
- Two-dimensional bright solitons in dipolar Bose-Einstein condensates
- Motion of dark solitons in trapped Bose-Einstein condensates
- d-wave collapse and explosion of a dipolar Bose-Einstein condensate
- Low-dimensional Bose liquids: beyond the Gross-Pitaevskii approximation
- Solitons in nonlocal nonlinear media: exact results
- Experimental observation of oscillating and interacting matter wave dark solitons
- Anisotropic solitons in dipolar Bose-Einstein Condensates
- Exact coherent states of a harmonically confined Tonks-Girardeau gas
- Controlling atom-atom interaction at ultralow temperatures by dc electric fields
- Stability of two-dimensional spatial solitons in nonlocal nonlinear media
- Dipolar gases in quasi one-dimensional geometries
- Fermi-Bose mapping for one-dimensional Bose gases
- Gap-Townes solitons and localized excitations in low dimensional Bose Einstein condensates in optical lattices
- Fermionization in an expanding 1D gas of hard-core bosons
- Comparing contact and dipolar interaction in a Bose-Einstein condensate
- Deviation from one-dimensionality in stationary properties and collisional dynamics of matter-wave solitons
- "Supersolid" self-bound Bose condensates via laser-induced interatomic forces
- Structure and stability of bosonic clouds: alkali atoms with negative scattering length
- Solitons in quasi one-dimensional Bose-Einstein condensates with competing dipolar and local interactions
- Bright Matter-Wave Soliton Collisions in a Harmonic Trap: Regular and Chaotic Dynamics
- Vortex solitons in dipolar Bose-Einstein Condensates
- Momentum distribution dynamics of a Tonks-Girardeau gas: Bragg reflections of a quantum many-body wavepacket
- Dark soliton creation in Bose-Einstein condensates
- Two-dimensional nonlocal vortices, multipole solitons and azimuthons in dipolar Bose-Einstein condensates
- Generation and interaction of solitons in Bose-Einstein condensates
- Collisions of bright solitary matter waves
- Hydrodynamic Excitations in a Spin-Polarized Fermi Gas under Harmonic Confinement in One Dimension
- 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
- Dynamics of shallow dark solitons in a trapped gas of impenetrable bosons
- Bright Solitary-Matter-Wave Collisions in a Harmonic Trap: Regimes of Soliton-like Behaviour
- 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
- Stabilization of higher-order vortices and multi-hump solitons in media with synthetic nonlocal nonlinearities
- Shock waves in ultracold Fermi (Tonks) gases
- Hydrodynamic excitations of trapped dipolar fermions
- Depletion of a Bose-Einstein condensate by laser-iduced dipole-dipole interactions
- Probing the light induced dipole-dipole interaction in momentum space
- Collapse instability of solitons in the nonpolynomial Schrödinger equation with dipole-dipole interactions
- Solitons in one-dimensional interacting Bose-Einstein system
Cited by in corpus (30)
- Dark solitons in atomic Bose-Einstein condensates: from theory to experiments
- Creating two-dimensional bright solitons in dipolar Bose-Einstein condensates
- Bright solitons in defocusing media with spatial modulation of the quintic nonlinearity
- Two-dimensional discrete solitons in dipolar Bose-Einstein condensates
- Dynamics of quasi-one-dimensional bright and vortex solitons of a dipolar Bose-Einstein condensate with repulsive atomic interaction
- Matter-wave solitons supported by field-induced dipole-dipole repulsion with a spatially modulated strength
- Strongly correlated quantum droplets in quasi-1D dipolar Bose gas
- Symmetry breaking in dipolar matter-wave solitons in dual-core couplers
- Variational analysis of flat-top solitons in Bose-Einstein condensates
- Nonlinear localized modes in dipolar Bose-Einstein condensates in optical lattices
- Domain walls and bubble-droplets in immiscible binary Bose gases
- Bright solitons in quasi-one dimensional dipolar condensates with spatially modulated interactions
- Solitons in dipolar Bose-Einstein condensates with trap and barrier potential
- Ultrawide dark solitons and droplet-soliton coexistence in a dipolar Bose gas with strong contact interactions
- Particle-Hole Asymmetry and Brightening of Solitons in A Strongly Repulsive BEC
- Formation and fragmentation of quantum droplets in a quasi-one dimensional dipolar Bose gas
- Cross-symmetric dipolar-matter-wave solitons in double-well chains
- Cross-symmetry breaking of two-component discrete dipolar matter-wave solitons
- Generation of density waves in dipolar quantum gases by time-periodic modulation of atomic interactions
- Oscillations of a quasi-one-dimensional dipolar supersolid
- Normal mode oscillations of a nonlocal composite matter wave soliton
- Beyond Gross-Pitaevskii equation for 1D gas: quasiparticles and solitons
- Vortical and fundamental solitons in dipolar Bose-Einstein condensates trapped in isotropic and anisotropic nonlinear potentials
- Effects of Long-Range Nonlinear Interactions in Double-Well Potentials
- Other incarnations of the Gross-Pitaevskii dark soliton
- Crow instability in unitary Fermi gas
- Interfaces between Bose-Einstein and Tonks-Girardeau atomic gases
- Phase diagram and elementary excitations of strongly interacting droplets with non-local interactions
- Diminished quantum depletion and correlated droplets in one-dimensional dipolar Bose gas
- New logarithmic power nonlinear Schrödinger equations with super-Gaussons