Klein tunneling of the laser coherence

TL;DR

This paper theoretically investigates laser array synchronization at the Dirac point, revealing that Klein tunneling of coherence allows for higher barrier transmission compared to conventional dispersions.

Contribution

It introduces the concept of Klein tunneling of laser coherence, demonstrating enhanced synchronization at the Dirac point through theoretical and numerical analysis.

Findings

Synchronization persists at higher barriers at the Dirac point.

Klein tunneling of coherence facilitates delocalization of eigenmodes.

Enhanced synchronization compared to parabolic dispersion arrays.

Abstract

We study theoretically the lasing synchronization of the two arrays of lasers with the complex mode dispersion, separated by a spectrally detuned barrier. We demonstrate that for lasing at the Dirac point, the synchronization persists for an order of magnitude higher barriers than in the arrays with a usual parabolic dispersion or a purely dissipative coupling. We interpret this effect as the Klein tunneling of the laser coherence through the barrier. Our numerical findings are supported by an analysis of the delocalization of the linearized eigenmodes of the arrays, which enhances the synchronization.