Soliton dynamics for an ingenious trap combination in a Bose-Einstein condensate

Abstract

We provide an exact analytical model of the 1D Gross-Pitaevskii equation for a composite trap, which is capable of producing a variety of potentials: a general power-law, harmonic, tunable double-well etc. We derive a family of exact solitary wave solution for condensate density, which can be controlled by tuning the trap parameters. The fact that the minima positions can be controlled and the potential can also be made asymmetric makes it a favorable candidate for quantum information processing. Coherent control of the condensate profile is investigated, where it shows interesting collapse and revival. Moreover, the obtained two-soliton solution follows periodic and bi-periodic trajectories. A numerical study of the condensate dynamics is carried out to verify our result, which is also supported by a numerical stability analysis.