Soliton stability and collapse in the discrete nonpolynomial Schrodinger equation with dipole-dipole interactions

Abstract

The stability and collapse of fundamental unstaggered bright solitons in the discrete Schrodinger equation with the nonpolynomial on-site nonlinearity, which models a nearly one-dimensional Bose-Einstein condensate trapped in a deep optical lattice, are studied in the presence of the long-range dipole-dipole (DD) interactions. The cases of both attractive and repulsive contact and DD interaction are considered. The results are summarized in the form of stability/collapse diagrams in the parametric space of the model, which demonstrate that the the attractive DD interactions stabilize the solitons and help to prevent the collapse. Mobility of the discrete solitons is briefly considered too.

6 figures

References in corpus (17)

• 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
• Effective mean-field equations for cigar-shaped and disk-shaped Bose-Einstein condensates
• Vector solitons in nearly-one-dimensional Bose-Einstein condensates
• Vortex solitons in dipolar Bose-Einstein Condensates
• Qualitative and quantitative analysis of stability and instability dynamics of positive lattice solitons
• Matter-wave vortices in cigar-shaped and toroidal waveguides
• Bose-Einstein condensates under a spatially-modulated transverse confinement
• Effects of Axial Vorticity in Elongated Mixtures of Bose-Einstein Condensates

Cited by in corpus (22)

• The physics of dipolar bosonic quantum gases
• Solitons in nonlinear lattices
• Solitons in quasi one-dimensional Bose-Einstein condensates with competing dipolar and local interactions
• 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
• Interface solitons in one-dimensional locally-coupled lattice systems
• Stable periodic density waves in dipolar Bose-Einstein condensates trapped in optical lattices
• Transition to miscibility in linearly coupled binary dipolar Bose-Einstein condensates
• Effects of magnetic dipole-dipole interactions in atomic Bose-Einstein condensates with tunable s-wave interactions
• Symmetry breaking in dipolar matter-wave solitons in dual-core couplers
• Lattice solitons with quadrupolar intersite interactions
• Nonlinear localized modes in dipolar Bose-Einstein condensates in optical lattices
• Bright solitons in quasi-one dimensional dipolar condensates with spatially modulated interactions
• Collapse instability of solitons in the nonpolynomial Schrödinger equation with dipole-dipole interactions
• Dipolar matter-wave solitons in two-dimensional anisotropic discrete lattices
• 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
• Surface solitons in trilete lattices
• Interface solitons in locally linked two-dimensional lattices
• Collapse dynamics for the discrete nonlinear Schrödinger equation with gain and loss
• Vortical and fundamental solitons in dipolar Bose-Einstein condensates trapped in isotropic and anisotropic nonlinear potentials