Solitary-wave solutions in binary mixtures of Bose-Einstein condensates under periodic boundary conditions

Abstract

We derive solitary-wave solutions within the mean-field approximation in quasi-one-dimensional binary mixtures of Bose-Einstein condensates under periodic boundary conditions, for the case of an effective repulsive interatomic interaction. The particular gray-bright solutions that give the global energy minima are determined. Their characteristics and the associated dispersion relation are derived. In the case of weak coupling, we diagonalize the Hamiltonian analytically to obtain the full excitation spectrum of "quantum" solitary-wave solutions.

11 pages, 2 figures

References in corpus (4)

• Oscillations and interactions of dark and dark-bright solitons in Bose-Einstein condensates
• Quantised supercurrent decay in an annular Bose-Einstein condensate
• Formation and Transformation of Vector-Solitons in Two-Species Bose-Einstein Condensates with Tunable Interaction
• Excitation spectrum of a two-component Bose-Einstein condensate in a ring potential

Cited by in corpus (4)

• Azimuthons and pattern formation in annularly confined exciton-polariton Bose-Einstein condensates
• Mean-field yrast spectrum of a two-component Bose gas in ring geometry: persistent currents at higher angular momentum
• Mean-field yrast spectrum and persistent currents in a two-component Bose gas with interaction asymmetry
• Metastable spin textures and Nambu-Goldstone modes of a ferromagnetic spin-1 Bose-Einstein condensate confined in a ring trap