Mott-insulating and glassy phases of polaritons in 1D arrays of coupled cavities

TL;DR

This paper investigates the phase diagram of polaritons in 1D coupled cavities, revealing phase boundaries, critical behaviors, and a novel polaritonic glassy phase due to atom number fluctuations.

Contribution

It introduces a detailed analysis of polariton phases in 1D cavities, including the discovery of a glassy phase caused by atom number fluctuations.

Findings

Identified phase boundary and critical behavior of polaritons

Discovered a polaritonic glassy phase due to atom number fluctuations

Found non-trivial scaling of phase boundary with atom number

Abstract

By means of analytical and numerical methods we analyze the phase diagram of polaritons in one-dimensional coupled cavities. We locate the phase boundary, discuss the behavior of the polariton compressibility and visibility fringes across the critical point, and find a non-trivial scaling of the phase boundary as a function of the number of atoms inside each cavity. We also predict the emergence of a polaritonic glassy phase when the number of atoms fluctuates from cavity to cavity.