Effectively attractive Bose-Einstein condensates in a rotating toroidal trap

TL;DR

This paper investigates the phase transition between uniform and localized states in an attractive Bose-Einstein condensate confined in a rotating toroidal trap, using variational and diagonalization methods to map the phase diagram.

Contribution

It introduces a combined variational and diagonalization approach to analyze phase transitions in attractive BECs in a rotating toroidal geometry.

Findings

Identified the phase boundary between uniform and localized states.

Mapped the phase diagram as a function of coupling and rotation.

Described properties of the system in both phases.

Abstract

We examine an effectively attractive quasi-one-dimensional Bose-Einstein condensate of atoms confined in a rotating toroidal trap, as the magnitude of the coupling constant and the rotational frequency are varied. Using both a variational mean-field approach, as well as a diagonalization technique, we identify the phase diagram between a uniform and a localized state and we describe the system in the two phases.