Collapse instability of solitons in the nonpolynomial Schrödinger equation with dipole-dipole interactions
arXiv:0905.3660 · doi:10.1088/0953-4075/42/14/145302
Abstract
A model of the Bose-Einstein condensate (BEC) of dipolar atoms, confined in a combination of a cigar-shaped trap and optical lattice acting in the axial direction, is studied in the framework of the one-dimensional (1D) nonpolynomial Schrödinger equation (NPSE) with additional terms describing long-range dipole-dipole (DD) interactions. The NPSE makes it possible to describe the collapse of localized modes, which was experimentally observed in the self-attractive BEC confined in tight traps, in the framework of the 1D description. We study the influence of the DD interactions on the dynamics of bright solitons, especially as concerns their collapse-induced instability. Both attractive and repulsive contact and DD interactions are considered. The results are summarized in the form of stability/collapse diagrams in a respective parametric space. In particular, it is shown that the attractive DD interactions may prevent the collapse instability in the condensate with attractive contact interactions.
6 figures
References in corpus (23)
- Bose-Einstein condensation of chromium
- Formation of bright matter-wave solitons during the collapse of Bose-Einstein condensates
- 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
- d-wave collapse and explosion of a dipolar Bose-Einstein condensate
- Ultracold heteronuclear molecules in a 3D optical lattice
- Anisotropic solitons in dipolar Bose-Einstein Condensates
- Cold polar molecules in 2D traps: Tailoring interactions with external fields for novel quantum phases
- Comparing contact and dipolar interaction in a Bose-Einstein condensate
- Deviation from one-dimensionality in stationary properties and collisional dynamics of matter-wave solitons
- Effective mean-field equations for cigar-shaped and disk-shaped Bose-Einstein condensates
- Solitons in quasi one-dimensional Bose-Einstein condensates with competing dipolar and local interactions
- Vector solitons in nearly-one-dimensional Bose-Einstein condensates
- Vortex solitons in dipolar Bose-Einstein Condensates
- Friction and diffusion of matter-wave bright solitons
- Qualitative and quantitative analysis of stability and instability dynamics of positive lattice solitons
- Matter-wave vortices in cigar-shaped and toroidal waveguides
- Soliton stability and collapse in the discrete nonpolynomial Schrodinger equation with dipole-dipole interactions
- Bose-Einstein condensates under a spatially-modulated transverse confinement
- Collapse times of dipolar Bose-Einstein condensates
- An effective potential for one-dimensional matter-wave solitons in an axially inhomogeneous trap
- Dipolar interaction in ultra-cold atomic gases
Cited by in corpus (10)
- Creating two-dimensional bright solitons in dipolar Bose-Einstein condensates
- Solitons in Tonks-Girardeau gas with dipolar interactions
- 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
- Symmetry breaking in dipolar matter-wave solitons in dual-core couplers
- Bright solitons in quasi-one dimensional dipolar condensates with spatially modulated interactions
- High- and low-frequency phonon modes in dipolar quantum gases trapped in deep lattices
- Effective equations for repulsive quasi-1D BECs trapped with anharmonic transverse potentials
- Oscillations of a quasi-one-dimensional dipolar supersolid
- Bright solitons in Bose-Einstein condensates with field-induced dipole moments