Antibunching in locally driven dissipative Lieb lattices

TL;DR

This paper demonstrates how localised driving in dissipative Lieb lattices can induce strong antibunching and quantum correlations through interference effects, with potential applications in polariton experiments.

Contribution

It introduces a novel scheme using localised driving and interference in Lieb lattices to generate quantum correlations in open quantum systems.

Findings

Enhanced antibunching observed in simulations

Optimized parameters for polariton experiments

Interference effects enable non-trivial quantum correlations

Abstract

In Lieb lattices, geometric frustration and destructive interference of hopping cancels the occupation of certain sites, leading to flat-band physics. Here, we show numerically how, in the driven-dissipative Bose-Hubbard (DDBH) model arranged into Lieb lattices and related geometries, specific localised driving schemes can repurpose this interference to generate enhanced antibunching via a mechanism similar to the so-called unconventional photon blockade. Stochastic simulations using the positive-P method allow us to calculate occupations and second order correlations exactly for extended lattices. We use this to optimise the parameters for the possible observation of this effect in polariton micropillar experiments. This work demonstrates the possibility of using localised driving and interference effects to generate non-trivial quantum correlations in open quantum lattice systems.