Stripe Formation in Bose-Einstein Condensates with Large Numbers of Vortices

TL;DR

This paper explains stripe formation in rotating Bose-Einstein condensates with many vortices as a kinetic energy driven process, using vortex lattice structures in the lowest Landau level to understand complex behaviors observed experimentally.

Contribution

It introduces a novel interpretation of vortex lattice dynamics in Bose-Einstein condensates, linking kinetic energy effects to stripe formation beyond the quantum Hall regime.

Findings

Stripe patterns arise from kinetic energy-driven vortex evolution.

Vortex lattice structures in the lowest Landau level explain complex phenomena.

The analysis applies even outside the quantum Hall regime.

Abstract

We analyze recent experiments at JILA which observe periodic formation of stripes in a rotating Bose condensate [Engels et al. Phys. Rev. Lett. {\bf 89}, 100403 (2002)], and explain this behavior as a consequence of kinetic energy driven evolution, where the vortices follows a quadrupolar flow. We demonstrate that the structure of vortex lattices in the lowest Landau level is a useful tool for understanding such complex phenomena, even when the system is not in the quantum Hall regime.