Quantum synchronisation and clustering in chiral networks

TL;DR

This paper investigates how quantum synchronization and community formation occur in chiral networks of harmonic oscillators, emphasizing the influence of network topology and quantum correlations.

Contribution

It introduces a model of quantum synchronization in chiral networks with complex topologies, highlighting the role of directed graph structures and non-local quantum correlations.

Findings

Synchronization depends on network topology.

Complex networks exhibit community synchronization.

Quantum correlations are non-local and significant.

Abstract

We study the emergence of synchronisation in a chiral network of harmonic oscillators. The network consists of a set of locally incoherently pumped harmonic oscillators coupled pairwise in cascade with travelling field modes. Such cascaded coupling leads to feedback-less dissipative interaction between the harmonic oscillators of the pair which can be described in terms of an effective pairwise hamiltonian a collective pairwise decay. The network is described mathematically in terms of a directed graph. By analysing geometries of increasing complexity we show how the onset of synchronisation depends strongly on the network topology, with the emergence of synchronised communities in the case of complex networks. The quantum nature of the non local correlation between network nodes is assessed.