Systematic solitary waves from their linear limits in two-component Bose-Einstein condensates with unequal dispersion coefficients

Abstract

We systematically construct vector solitary waves in harmonically trapped one-dimensional two-component Bose-Einstein condensates with unequal dispersion coefficients by a numerical continuation in chemical potentials from the respective analytic low-density linear limits to the high-density nonlinear Thomas-Fermi regime. The main feature of the linear states herein is that the component with the larger quantum number has instead a smaller linear eigenenergy, enabled by suitable unequal dispersion coefficients, leading to new series of solutions compared with the states similarly obtained in the equal dispersion setting. Particularly, the lowest-lying series gives the well-known dark-anti-dark waves, and the second series yields the dark-multi-dark states, and the following series become progressively more complex in their wave structures. The Bogoliubov-de Gennes spectra analysis shows that most of these states are typically unstable, but they can be long-lived and most of them can be fully stabilized in suitable parameter regimes.

9 pages, 4 figures

References in corpus (12)

• Oscillations and interactions of dark and dark-bright solitons in Bose-Einstein condensates
• Double species condensate with tunable interspecies interactions
• Generation of dark-bright soliton trains in superfluid-superfluid counterflow
• Dual-Species Bose-Einstein Condensate of ${}^{87}$Rb and ${}^{133}$Cs
• Rogue-wave solutions of a three-component coupled nonlinear Schrodinger equation
• Dark-bright solitons in coupled nonlinear Schrödinger equations with unequal dispersion coefficients
• Interaction of dark-bright solitons in two-component Bose-Einstein condensates
• Creating solitons with controllable and near zero velocity in Bose-Einstein condensates
• Beating dark-dark solitons and Zitterbewegung in spin-orbit coupled Bose-Einstein condensates
• Transitions From Order to Disorder in Multi-Dark and Multi-Dark-Bright Soliton Atomic Clouds
• Instabilities of vortex-ring-bright soliton in trapped binary 3D Bose-Einstein condensates
• Stability and Tunneling Dynamics of a Dark-Bright Soliton Pair in a Harmonic Trap

Cited by in corpus (1)

• Domain Walls and Vector Solitons in the Coupled Nonlinear Schrodinger Equation