Spontaneous, collective coherence in driven, dissipative cavity arrays
Abstract
We study an array of dissipative tunnel-coupled cavities, each interacting with an incoherently pumped two-level emitter. For cavities in the lasing regime, we find correlations between the light fields of distant cavities, despite the dissipation and the incoherent nature of the pumping mechanism. These correlations decay exponentially with distance for arrays in any dimension but become increasingly long ranged with increasing photon tunneling between adjacent cavities. The interaction-dominated and the tunneling-dominated regimes show markedly different scaling of the correlation length which always remains finite due to the finite photon trapping time. We propose a series of observables to characterize the spontaneous build-up of collective coherence in the system.
Cite
@article{arxiv.1401.5776,
title = {Spontaneous, collective coherence in driven, dissipative cavity arrays},
author = {J. Ruiz-Rivas and E. del Valle and C. Gies and P. Gartner and M. J. Hartmann},
journal= {arXiv preprint arXiv:1401.5776},
year = {2015}
}
Comments
9 pages, 4 figures, including supplemental material (with 4 pages, 1 figure). This is a shorter version with some modifications in the supplemental material (a gap in the proof was closed and calculations significantly generalized and improved)