Localized matter-waves patterns with attractive interaction in rotating potentials

TL;DR

This paper investigates localized matter-wave patterns in a rotating attractive Bose-Einstein condensate, demonstrating the formation of quasi-solitons at the lowest Landau level and their dynamic behavior under external perturbations.

Contribution

It introduces a combined numerical and variational approach to describe LLL quasi-solitons in a rotating BEC with an external potential, highlighting their dynamics and stability.

Findings

Good agreement between numerical and variational results

Larmor motion of quasi-solitons under external kicks or ramp potentials

Identification of critical potential strength for quasi-soliton formation

Abstract

We consider a two-dimensional (2D) model of a rotating attractive Bose-Einstein condensate (BEC), trapped in an external potential. First, an harmonic potential with the critical strength is considered, which generates quasi-solitons at the lowest Landau level (LLL). We describe a family of the LLL quasi-solitons using both numerical method and a variational approximation (VA), which are in good agreement with each other. We demonstrate that kicking the LLL mode or applying a ramp potential sets it in the Larmor (cyclotron) motion, that can also be accurately modeled by the VA.