Rotating Bose-Einstein condensates with attractive interactions

TL;DR

This paper explores the phase diagram of a rotating Bose-Einstein condensate with attractive interactions, identifying three distinct phases including vortex and center of mass excitations, as well as collapse instability.

Contribution

It provides a detailed analysis of the phase diagram for attractive BECs under rotation, highlighting the conditions for different phases and instabilities.

Findings

Identified three phases: vortex, center of mass excitation, and collapse.

Mapped the phase diagram as a function of interaction strength and rotational frequency.

Demonstrated the conditions leading to collapse instability.

Abstract

We examine the phase diagram of a Bose-Einstein condensate of atoms, interacting with an attractive pseudopotential, in a quadratic-plus-quartic potential trap rotating at a given rate. Investigating the behavior of the gas as a function of interaction strength and rotational frequency of the trap, we find that the phase diagram has three distinct phases, one with vortex excitation, one with center of mass excitation, and an unstable phase in which the gas collapses.