Photonic Band Gap in the Triangular Lattice of BEC vortices

TL;DR

This paper explores the creation of photonic band gaps in a Bose-Einstein condensate with a vortex lattice, using atomic coherence to enhance index contrast and frequency-dependent dielectric functions to calculate band gaps.

Contribution

It introduces a method to realize photonic band gaps in BEC vortex lattices by leveraging atomic coherence for index contrast enhancement.

Findings

Photonic band gaps of a few MHz are achievable in BEC vortex lattices.

Atomic coherence effectively enhances index contrast between vortex cores and bulk.

Frequency-dependent dielectric functions are crucial for accurate band gap calculations.

Abstract

We investigate the photonic bands of an atomic Bose-Einstein condensate with a triangular vortex lattice. Index contrast between the vortex cores and the bulk of the condensate is achieved through the enhancement of the index via atomic coherence. Frequency dependent dielectric function is used in the calculations of the bands, resulting in photonic band gap widths of a few MHz.