Generalized Measure of Quantum synchronization

TL;DR

This paper introduces a new information-theoretic measure for quantum synchronization applicable across various quantum systems, including hybrid and driven systems, with many cases allowing a closed-form expression.

Contribution

It proposes a generalized measure of quantum synchronization that unifies different physical systems and provides analytical expressions in many scenarios.

Findings

Applicable to anharmonic oscillators and atoms

Enables analysis of hybrid and driven systems

Many cases have a closed-form expression

Abstract

We present a generalized information-theoretic measure of synchronization in quantum systems. This measure is applicable to dynamics of anharmonic oscillators, few-level atoms, and coupled oscillator networks. Furthermore, the new measure allows us to discuss synchronization of disparate physical systems such as coupled hybrid quantum systems and coupled systems undergoing mutual synchronization that are also driven locally. In many cases of interest, we find a closed-form expression for the proposed measure.