Effects of transverse trapping on the ground state of a cigar-shaped two-component Bose–Einstein condensate

We derive the coupled nonpolynomial nonlinear Schrödinger equations for a two-component Bose-Einstein condensate in a quasi-one-dimension geometry and investigate the effects of a tightly transverse trapping on the ground state and the miscibility-immiscibility threshold. We find that the density profile of the matter wavepacket is remarkably dependent on the transverse width and the effective one-dimension nonlinear coupling strengths in miscible and immiscible regimes.