Squeezing Enhances Quantum Synchronization

TL;DR

This paper demonstrates that applying squeezing to a self-sustained quantum oscillator enhances synchronization quality and enables strong entrainment in the quantum regime, producing non-classical states.

Contribution

It introduces a squeezing-driven approach to improve quantum synchronization, overcoming noise limitations of previous methods.

Findings

Strong entrainment achievable with small squeezing levels

Synchronization quality improved by squeezing as measured by power spectrum

States remain non-classical under optimal squeezing conditions

Abstract

It is desirable to observe synchronization of quantum systems in the quantum regime, defined by low number of excitations and a highly non-classical steady state of the self-sustained oscillator. Several existing proposals of observing synchronization in the quantum regime suffer from the fact that the noise statistics overwhelms synchronization in this regime. Here we resolve this issue by driving a self-sustained oscillator with a squeezing Hamiltonian instead of a harmonic drive and analyze this system in the classical and quantum regime. We demonstrate that strong entrainment is possible for small values of squeezing, and in this regime the states are non-classical. Furthermore, we show that the quality of synchronization measured by the FWHM of the power spectrum is enhanced with squeezing.