On the robustness of strongly correlated multi-photon states in frustrated driven-dissipative cavity lattices

TL;DR

This paper investigates how geometric frustration in a driven-dissipative cavity lattice affects the stability of multi-photon states, revealing their sensitivity to lattice inhomogeneities, especially cavity frequency variations.

Contribution

It provides a theoretical analysis of the robustness of multi-photon correlated states in a frustrated lattice modeled by a driven-dissipative Bose-Hubbard system, highlighting the impact of inhomogeneity.

Findings

Correlations are more sensitive to cavity frequency inhomogeneity than to hopping fluctuations.

Dark sites with low photon density can host strongly correlated multi-photon modes.

Geometric frustration influences the non-equilibrium steady states in cavity lattices.

Abstract

We present a theoretical study on the robustness of multi-photon states in a frustrated lattice of coupled nonlinear optical cavities, which are described by a driven-dissipative Bose-Hubbard model. In particular, we focus here on a Lieb lattice with two elementary cells and periodic boundary conditions. Due to the geometric frustration of the lattice, the non-equilibrium steady state can exhibit dark sites with low photon density and strong correlations, ascribable to the population of multi-photon modes. We explore the sensitivity of such strong correlations on the random inhomogeneity of the lattice parameters. We show that the correlations are more sensitive to the inhomogeneity of the cavity frequencies than to the random fluctuations of the hopping strength.