Synchronization along quantum trajectories
Najmeh Es'haqi-Sani, Gonzalo Manzano, Roberta Zambrini, and Rosario, Fazio

TL;DR
This paper uses a quantum trajectory approach to analyze synchronization and phase-locking in open quantum systems, revealing how these phenomena influence quantum correlations and entanglement distributions.
Contribution
It introduces a novel quantum trajectory-based method to quantify and understand synchronization in nonequilibrium quantum systems, exemplified with quantum Van der Pol oscillators.
Findings
Synchronization affects phase-locking statistics and correlation measures.
Presence of synchronization correlates with large tails in entanglement distributions.
Provides new tools for quantifying quantum synchronization.
Abstract
We employ a quantum trajectory approach to characterize synchronization and phase-locking between open quantum systems in nonequilibrium steady states. We exemplify our proposal for the paradigmatic case of two quantum Van der Pol oscillators interacting through dissipative coupling. We show the deep impact of synchronization on the statistics of phase-locking indicators and other correlation measures defined for single trajectories, spotting a link between the presence of synchronization and the emergence of large tails in the probability distribution for the entanglement along trajectories. Our results shed new light on fundamental issues regarding quantum synchronization providing new methods for its precise quantification.
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