Quantum Phases of Attractive Matter Waves in a Toroidal Trap

TL;DR

This paper explores quantum phase transitions in attractive Bose-Einstein condensates confined in a ring trap, revealing soliton collapse, multi-peak configurations, and effects of rotation on the phase diagram.

Contribution

It introduces new insights into soliton stability, collapse phenomena, and phase diagram features in rotating toroidal traps for attractive matter waves.

Findings

Soliton undergoes transverse collapse at a critical interaction strength.

Multiple-peak soliton configurations have limited stability.

Rotation introduces new features in the phase diagram.

Abstract

Investigating the quantum phase transition in a ring from a uniform attractive Bose-Einstein condensate to a localized bright soliton we find that the soliton undergoes transverse collapse at a critical interaction strength, which depends on the ring dimensions. In addition, we predict the existence of other soliton configurations with many peaks, showing that they have a limited stability domain. Finally, we show that the phase diagram displays several new features when the toroidal trap is set in rotation.