Exact coherent matter-wave soliton induced and controlled by laser field

TL;DR

This paper presents exact solutions for coherent bright matter-wave solitons in a 1D Bose-Einstein condensate, controlled by a laser field, with potential applications in experimental generation and manipulation of solitons.

Contribution

It introduces a novel method to generate and control matter-wave solitons using a Gaussian laser well with oscillating position, providing exact solutions and stability analysis.

Findings

Bright solitons are stable and controllable via laser resonance.

Soliton trains differ from previously reported types.

Stable solitonic motion is more pronounced in repulsive BEC.

Abstract

We find a set of exact solutions of coherent bright solitons in the quasi-one-dimensional (1D) Bose-Einstein condensate (BEC) trapped in a harmonic potential, by using a Gaussian laser well (barrier) with oscillating position to balance the repulsive (attractive) interatomic interaction. The bright solitons do not deform in propagation and are controlled accurately by the laser driving which resonates with the trapping potential. The solitonic motion is more stable for the repulsive BEC than that of the attractive BEC. The results reveal a different kind of soliton trains compared to that reported recently in Phys. Rev. Lett. 100, 164102 (2008) and suggest an experimental scheme for generating and controlling the coherent matter-wave solitons.