Localized modes in dense repulsive and attractive Bose-Einstein condensates with spin-orbit and Rabi couplings

Abstract

We consider a binary Bose-Einstein condensate with linear and nonlinear interactions between its components, which emulate the spinor system with spin-orbit (SO) and Rabi couplings. For a relatively dense condensate, 1D coupled equations with the nonpolynomial nonlinearity of both repulsive and attractive signs are derived from the 3D Gross-Pitaevskii equations. Profiles of modes confined in an external potential under the action of the self-repulsion, and self-trapped solitons in the case of the self-attraction, are found in a numerical form and by means of analytical approximations. In the former case, the interplay of the SO and Rabi couplings with the repulsive nonlinearity strongly distorts shapes of the trapped modes, adding conspicuous side lobes to them. In the case of the attractive nonlinearity, the most essential result is reduction of the collapse threshold under the action of the SO and Rabi couplings.

7 pages, 5 figures, to be published in Phys. Rev. A

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• Ground State Properties of Spin-Orbit Coupled Bose Gases for Arbitrary Interactions
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• Stable Solitons in Three Dimensional Free Space: Self-Trapped Bose-Einstein Condensates with Spin-Orbit Coupling
• Multidimensional solitons: Well-established results and novel findings
• Vortex solitons in two-dimensional spin-orbit coupled Bose-Einstein condensates: effects of the Rashba-Dresselhaus coupling and the Zeeman splitting
• Localized modes in quasi-2D Bose-Einstein condensates with spin-orbit and Rabi couplings
• Gap Solitons in Spin-Orbit-Coupled Bose-Einstein Condensates in Optical Lattices
• Two-dimensional solitons in dipolar Bose-Einstein condensates with spin-orbit coupling
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• Localization of a spin-orbit coupled Bose-Einstein condensate in a bichromatic optical lattice
• Two- and one-dimensional gap solitons in spin-orbit-coupled systems with Zeeman splitting
• Modulational instability in binary spin-orbit-coupled Bose-Einstein condensates
• Josephson physics of spin-orbit coupled elongated Bose-Einstein condensates
• Nonlinear modes in binary bosonic condensates with the pseudo-spin-orbital coupling
• Phase separation in a spin-orbit coupled Bose-Einstein condensate
• Mathematical models and numerical methods for spinor Bose-Einstein condensates
• Three-dimensional vortex-bright solitons in a spin-orbit coupled spin-$1$ condensate
• Bright solitons in a 2D spin-orbit-coupled dipolar Bose-Einstein condensate
• Tunable spin-orbit coupled Bose-Einstein condensates in deep optical lattices
• Mobile vector soliton in a spin-orbit coupled spin-$1$ condensate
• Quantum solitons in spin-orbit-coupled Bose-Bose mixtures
• Self-trapping under the two-dimensional spin-orbit-coupling and spatially growing repulsive nonlinearity
• Composite localized modes in discretized spin-orbit-coupled Bose-Einstein condensates
• Bright solitons in ultracold atoms
• Solitons and Josephson-type oscillations in Bose-Einstein condensates with spin-orbit coupling and time-varying Raman frequency
• Flipping-shuttle oscillations of bright one- and two-dimensional solitons in spin-orbit-coupled Bose-Einstein condensates with Rabi mixing
• FORTRESS: FORTRAN programs for solving coupled Gross-Pitaevskii equations for spin-orbit coupled spin-1 Bose-Einstein condensate
• Spontaneous symmetry breaking in a spin-orbit coupled $f=2$ spinor condensate
• Stable two-dimensional soliton complexes in Bose-Einstein condensates with helicoidal spin-orbit coupling
• Quasi-one-dimensional spin-orbit- and Rabi-coupled bright dipolar Bose-Einstein-condensate solitons
• Self-localized Solitons of a q-Deformed Quantum System
• Tail-free self-accelerating solitons and vortices
• Quenching dynamics of the bright solitons and other localized states in spin-orbit coupled Bose-Einstein condensates
• A self-bound matter-wave boson-fermion quantum ball
• Double-layer Bose-Einstein condensates: A quantum phase transition in the transverse direction, and reduction to two dimensions
• Bessel Vortices in Spin-Orbit-Coupled Binary Bose-Einstein Condensates with Zeeman Splitting
• Supersolid-like solitons in spin-orbit coupled spin-2 condensate
• Modulational Instabity of Spin-Orbit Coupled Bose-Einstein Condensates in Discrete Media
• Effective equations for repulsive quasi-1D BECs trapped with anharmonic transverse potentials
• Gap and embedded solitons in microwave-coupled binary condensates
• Polarization of a quasi two-dimensional repulsive Fermi gas with Rashba spin-orbit coupling: a variational study
• Holding and transferring matter-wave solitons against gravity by spin-orbit-coupling tweezers
• Harmonically trapped attractive and repulsive spin-orbit and Rabi coupled Bose-Einstein condensates
• Number-conserving approaches to $n$-component Bose-Einstein condensates
• Itinerant ferromagnetism of two-dimensional repulsive fermions with Rabi coupling
• Energy-level inversion for vortex states in spin-orbit coupled Bose-Einstein condensates
• Quasi-one-dimensional approximation for Bose-Einstein condensates transversely trapped by a funnel potential
• Tunable energy-level inversion in spin-orbit-coupled Bose-Einstein condensates
• Matter-waves in Bose-Einstein condensates with spin-orbit and Rabi couplings
• Stability limits for modes held in alternating trapping-expulsive potentials
• Bessel Vortices in Spin-Orbit Coupled Spin-1 Bose-Einstein Condensates
• Domain formation of modulation instability in spin-orbit-Rabi coupled Gross-Pitaevskii equation with cubic-quintic interactions
• Two-dimensional quasi-ideal Fermi gas with Rashba spin-orbit coupling
• Accurate one-dimensional effective description of realistic matter-wave gap solitons
• Josephson-type oscillations in spin-orbit coupled Bose-Einstein condensates with nonlinear optical lattices
• Polarization in a three-dimensional Fermi gas with Rabi coupling
• Dragging spin-orbit-coupled solitons by a moving optical lattice
• Dynamical spin properties of confined Fermi and Bose systems in presence of spin-orbit coupling
• Persistent bright solitons in sign-indefinite coupled nonlinear Schrodinger equations with a time-dependent harmonic trap