Genuine quantum signatures in synchronization of anharmonic self-oscillators

TL;DR

This paper investigates how quantum anharmonicity in a driven van der Pol oscillator causes unique synchronization phenomena, revealing nonclassical states and multiple resonances absent in classical systems.

Contribution

It demonstrates the emergence of genuine quantum signatures in synchronization due to anharmonic energy spectra, with potential for experimental observation.

Findings

Multiple resonances in phase locking and frequency entrainment due to quantum effects

Nonclassical steady-state Wigner distributions under strong driving

Experimental feasibility with current technology

Abstract

We study the synchronization of a van der Pol self-oscillator with Kerr anharmonicity to an external drive. We demonstrate that the anharmonic, discrete energy spectrum of the quantum oscillator leads to multiple resonances in both phase locking and frequency entrainment not present in the corresponding classical system. Strong driving close to these resonances leads to nonclassical steady-state Wigner distributions. Experimental realizations of these genuine quantum signatures can be implemented with current technology.