Stability of dark solitons in three dimensional dipolar Bose-Einstein condensates

Abstract

The dynamical stability of dark solitons in dipolar Bose-Einstein condensates is studied. For standard short-range interacting condensates dark solitons are unstable against transverse excitations in two and three dimensions. On the contrary, due to its non local character, the dipolar interaction allows for stable 3D stationary dark solitons, opening a qualitatively novel scenario in nonlinear atom optics. We discuss in detail the conditions to achieve this stability, which demand the use of an additional optical lattice, and the stability regimes.

4 pages, 3 eps figures

References in corpus (34)

• Formation and Propagation of Matter Wave Soliton Trains
• Formation of a Matter-Wave Bright Soliton
• Dark Solitons in Bose-Einstein Condensates
• Bose-Einstein condensation of chromium
• Discrete Solitons and Breathers with Dilute Bose-Einstein Condensates
• Dynamics of collapsing and exploding Bose-Einstein condensates
• Watching dark solitons decay into vortex rings in a Bose-Einstein condensate
• Bright gap solitons of atoms with repulsive interaction
• Bose-Einstein condensation in trapped dipolar gases
• Quantum phases of dipolar bosons in optical lattices
• Roton-maxon spectrum and stability of trapped dipolar condensates
• Collapse arrest and soliton stabilization in nonlocal nonlinear media
• Strong dipolar effects in a quantum ferrofluid
• Observation of dipole-dipole interaction in a degenerate quantum gas
• Modulational instability in nonlocal nonlinear Kerr media
• Dynamically Stabilized Bright Solitons in a Two-Dimensional Bose-Einstein Condensate
• Two-dimensional bright solitons in dipolar Bose-Einstein condensates
• Tuning the dipolar interaction in quantum gases
• Bose-Einstein condensation with magnetic dipole-dipole forces
• Trapped atomic condensates with anisotropic interactions
• Ultracold dense gas of deeply bound heteronuclear molecules
• Dark soliton states of Bose-Einstein condensates in anisotropic traps
• Spontaneously modulated spin textures in a dipolar spinor Bose-Einstein condensate
• Dynamics of dark solitons in elongated Bose-Einstein condensates
• All-Optical Production of Chromium Bose-Einstein Condensates
• On the stability of standing matter waves in a trap
• Stabilization of Solitons Generated by a Supersonic Flow of Bose-Einstein Condensate Past an Obstacle
• Macroscopic dynamics of a trapped Bose-Einstein condensate in the presence of 1D and 2D optical lattices
• Superfluidity of trapped dipolar Fermi gases
• Instabilities and the roton spectrum of a quasi-1D Bose-Einstein condensed gas with dipole-dipole interactions
• Incompressible liquid state of rapidly-rotating bosons at filling factor 3/2
• Scattering of two-dimensional solitons in dipolar Bose-Einstein condensates
• Integrability, stability, and adiabaticity in nonlinear stimulated Raman adiabatic passage
• Quantum Depletion of an Excited Condensate

Cited by in corpus (34)

• The physics of dipolar bosonic quantum gases
• Cold and Ultracold Molecules: Science, Technology, and Applications
• Dark solitons in atomic Bose-Einstein condensates: from theory to experiments
• Two-dimensional solitons and quantum droplets supported by competing self- and cross-interactions in spin-orbit-coupled condensates
• Solitons in quasi one-dimensional Bose-Einstein condensates with competing dipolar and local interactions
• Controlling the transverse instability of dark solitons and nucleation of vortices by a potential barrier
• Analytical theory for dark soliton interaction in nonlocal nonlinear materials with arbitrary degree of nonlocality
• Two-dimensional solitons in dipolar Bose-Einstein condensates with spin-orbit coupling
• Tuning the dipole-dipole interaction in a quantum gas with a rotating magnetic field
• Two-dimensional anisotropic vortex quantum droplets in dipolar Bose-Einstein condensates
• Anisotropic semi-vortices in dipolar spinor condensates controlled by Zeeman splitting
• Excited states of two-dimensional solitons supported by the spin-orbit coupling and field-induced dipole-dipole repulsion
• Vortices and vortex lattices in quantum ferrofluids
• Controllable non-local interactions between dark solitons in dipolar condensates
• Exploring the Stability and Dynamics of Dipolar Matter-Wave Dark Solitons
• Phase transition from straight into twisted vortex-lines in dipolar Bose-Einstein condensates
• Stable, mobile, dark-in-bright, dipolar Bose-Einstein condensate soliton
• Nonlinear localized modes in dipolar Bose-Einstein condensates in optical lattices
• Instability of Rotationally Tuned Dipolar Bose-Einstein Condensates
• Rotating three-dimensional solitons in Bose Einstein condensates with gravity-like attractive nonlocal interaction
• Dipolar matter-wave solitons in two-dimensional anisotropic discrete lattices
• Spin rotons and supersolids in binary antidipolar condensates
• Cross-symmetric dipolar-matter-wave solitons in double-well chains
• Cross-symmetry breaking of two-component discrete dipolar matter-wave solitons
• Exact analytical soliton solutions in dipolar BEC
• Interwires polar soliton molecules in a biwire system
• Generic transverse stability of kink structures in atomic and optical nonlinear media with competing attractive and repulsive interactions
• Effects of Long-Range Nonlinear Interactions in Double-Well Potentials
• Strong asymmetry for surface modes in nonlinear lattices with long-range coupling
• Energy shift of magnons in a ferromagnetic spinor-dipolar Bose-Einstein condensate
• Quantum dynamics of spin-J particles in static and rotating magnetic fields: Entanglement resonances and kinks
• Anisotropic merging and splitting of dipolar Bose-Einstein condensates
• Soliton Dimer-soliton scattering in coupled Quasi-one-dimensional Dipolar Bose-Einstein Condensates
• Crow instability of vortex lines in dipolar superfluids