Reply to "Comment on `Noise, not squeezing, boosts synchronization in the deep quantum regime' "

TL;DR

This paper clarifies the authors' previous findings on noise-enhanced quantum synchronization, emphasizing its validity in the deep quantum regime and addressing critiques about the methodology and physical interpretation.

Contribution

It defends the original conclusion that squeezing becomes ineffective in the deep quantum regime and introduces noise as a genuine factor, expanding understanding of quantum synchronization.

Findings

Noise enhances synchronization in the deep quantum regime.

The validity of the master equation is reaffirmed in this context.

Noise-boosted synchronization is a fundamental quantum feature.

Abstract

In this reply we clarify the main points of our manuscript and respond to the critique in the Comment arXiv:2002.11514. In particular, we emphasize that our conclusion "squeezing loses effectiveness in the deep quantum regime" does not contradict the previous work arXiv:1801.10383, but instead adds to it, and raises fundamental questions on classifying parameter regimes for quantum synchronization. Moreover, we address the concern brought up on the validity of the master equation in the deep quantum regime, and show that our noise-enhanced synchronization differs from previous literature. Through numerical examples, we also demonstrate that the choice of ansatz, while appearing inconsistent, does not lead to erroneous conclusions. Lastly, we expound on the physics of noise-boosted synchronization, and show that it is indeed a genuine feature unique to the deep quantum regime. However, we note that single photon dissipation is a more accurate term, and will move to using that.