# Recurrence network analysis in a model tripartite quantum system

## TL;DR

This paper introduces a novel application of recurrence network analysis to quantum dynamics, examining how network measures reflect the effects of intensity-dependent coupling in a tripartite quantum system.

## Contribution

It applies recurrence network analysis to quantum expectation value time-series, revealing how coupling parameters influence quantum system dynamics in both short and long times.

## Key findings

- Network measures vary with coupling parameter
- Short-time and long-time dynamics show different features
- Recurrence network analysis captures quantum dynamical behavior

## Abstract

In a novel approach to quantum dynamics, we apply the tools of recurrence network analysis to the dynamics of the quantum mechanical expectation values of observables. We construct and analyse $\epsilon$-recurrence networks from the time-series data of the mean photon number in a model tripartite quantum system governed by a nonlinear Hamiltonian. The role played by the intensity-dependent field-atom coupling in the dynamics is investigated. Interesting features emerge as a function of a parameter characterising this intensity-dependent coupling in both the short-time and the long-time dynamics. In particular, we examine the manner in which standard measures of network theory such as the average path length, the link density and the clustering coefficient depend on this parameter.