Static and rotating domain-wall crosses in Bose-Einstein condensates

Abstract

For a Bose-Einstein condensate (BEC) in a two-dimensional (2D) trap, we introduce cross patterns, which are generated by intersection of two domain walls (DWs) separating immiscible species, with opposite signs of the wave functions in each pair of sectors filled by the same species. The cross pattern remains stable up to the zero value of the immiscibility parameter $|\Delta |$, while simpler rectilinear (quasi-1D) DWs exist only for values of $|\Delta |$ essentially exceeding those in BEC mixtures (two spin states of the same isotope) currently available to the experiment. Both symmetric and asymmetric cross configurations are investigated, with equal or different numbers $N_{1,2}$ of atoms in the two species. In rotating traps, ``propellers'' (stable revolving crosses) are found too. A full stability region for of the crosses and propellers in the system's parameter space is identified, unstable crosses evolving into arrays of vortex-antivortex pairs. Stable rotating rectilinear DWs are found too, at larger vlues of $|\Delta |$. All the patterns produced by the intersection of three or more DWs are unstable, rearranging themselves into ones with two DWs. Optical propellers are also predicted in a twisted nonlinear photonic-crystal fiber carrying two different wavelengths or circular polarizations, which can be used for applications to switching and routing.

9 pages, 10 figures, Phys. Rev. A (in press)

References in corpus (24)

• Optical Confinement of a Bose-Einstein Condensate
• The dynamics of component separation in a binary mixture of Bose-Einstein condensates
• Stable 85Rb Bose-Einstein Condensates with Widely Tunable Interactions
• Watching dark solitons decay into vortex rings in a Bose-Einstein condensate
• Rapidly Rotating Bose-Einstein Condensates in and near the Lowest Landau Level
• Bose--Einstein solitons in highly asymmetric traps
• Strongly enhanced inelastic collisions in a Bose-Einstein condensate near Feshbach resonances
• Dark soliton states of Bose-Einstein condensates in anisotropic traps
• Structure of binary Bose-Einstein condensates
• Vortex phase diagram in rotating two-component Bose-Einstein condensates
• Dark solitons in a two-component Bose-Einstein condensate
• Domain walls of relative phase in two-component Bose-Einstein condensates
• Svortices and the fundamental modes of the "snake instability": Possibility of observation in the gaseous Bose-Einstein Condensate
• Sympathetic Cooling with Two Atomic Species in an Optical Trap
• Families of Matter-Waves for Two-Component Bose-Einstein Condensates
• Hartree-Fock treatment of the two-component Bose-Einstein condensate
• Vortex nucleation and hysteresis phenomena in rotating Bose-Einstein condensates
• Improved Semiclassical Approximation for Bose-Einstein Condensates: Application to a BEC in an Optical Potential
• Structural instability of vortices in Bose-Einstein condensates
• Normal modes and stability of phase separated trapped Bose-Einstein condensates
• Split vortices in optically coupled Bose-Einstein condensates
• Phase-Locked Spatial Domains and Bloch Domain Walls in Type-II Optical Parametric Oscillators
• Domain Walls in Two-Component Dynamical Lattices
• Twocomponent Fermi vapour in a 2D rotating trap

Cited by in corpus (26)

• Dark solitons in atomic Bose-Einstein condensates: from theory to experiments
• Nonlinear Waves in Bose-Einstein Condensates: Physical Relevance and Mathematical Techniques
• Pattern Forming Dynamical Instabilities of Bose-Einstein Condensates: A Short Review
• Spin textures in rotating two-component Bose-Einstein condensates
• The variety of stable vortical solitons in Ginzburg-Landau media with radially inhomogeneous losses
• Controlling the transverse instability of dark solitons and nucleation of vortices by a potential barrier
• Two-dimensional solitons in the Gross-Pitaevskii equation with spatially modulated nonlinearity
• Vortices in Bose-Einstein Condensates: Some Recent Developments
• Linearly Coupled Bose-Einstein Condensates: From Rabi Oscillations and Quasi-Periodic Solutions to Oscillating Domain Walls and Spiral Waves
• Vortex sheet in rotating two-component Bose-Einstein condensates
• Supersolid with nontrivial topological spin textures in spin-orbit-coupled Bose gases
• Interaction of dark-bright solitons in two-component Bose-Einstein condensates
• Domain walls and vortices in linearly coupled systems
• Phase Separation and Dynamics of Two-component Bose-Einstein Condensates
• Bright and dark solitons in a quasi 1D Bose-Einstein condensates modelled by 1D Gross-Pitaevskii equation with time-dependent parameters
• Rabi switch of condensate wavefunctions in a multicomponent Bose gas
• Cerenkov-like radiation in a binary Schr{ö}dinger flow past an obstacle
• Matter wave switching in Bose-Einstein condensates via intensity redistribution soliton interactions
• Dark solitons generation and their instability dynamics in two dimensional condensates
• Half-vortex sheets and domain-wall trains of rotating two-component Bose-Einstein condensates in spin-dependent optical lattices
• Domain walls and bubble-droplets in immiscible binary Bose gases
• Suppression of the quantum collapse in binary bosonic gases
• Phase domain walls in weakly nonlinear deep water surface gravity waves
• Structure and stability of two-dimensional Bose-Einstein condensates under both harmonic and lattice confinement
• Interfaces between Bose-Einstein and Tonks-Girardeau atomic gases
• Stability of Waves in Multi-component DNLS system