Vortex Lattice Structures of a Bose-Einstein Condensate in a Rotating Triangular Lattice Potential

TL;DR

This paper investigates how a rotating triangular lattice potential influences vortex arrangements in a Bose-Einstein Condensate, revealing a transition from Abrikosov to pinned vortex lattices through numerical simulations.

Contribution

It demonstrates the vortex pinning effect in BECs with a rotating triangular lattice potential and maps the conditions for vortex lattice transitions.

Findings

Vortex pinning occurs when vortex density matches lattice point density.

Transition from Abrikosov to pinned vortex lattice observed with varying rotation and lattice parameters.

Strong vortex pinning effect identified under specific conditions.

Abstract

We study the vortex pinning effect in a Bose-Einstein Condensate in the presence of a rotating lattice potential by numerically solving the time-dependent Gross-Pitaevskii equation. We consider a triangular lattice potential created by blue-detuned laser beams. By rotating the lattice potential, we observe a transition from the Abrikosov vortex lattice to the pinned vortex lattice. We investigate the transition of the vortex lattice structure by changing conditions such as angular velocity, strength, and lattice constant of a rotating lattice potential. Our simulation results clearly show that the lattice potential has a strong vortex pinning effect when the vortex density coincides with the density of the pinning points.