# Nonlinear Coupling of Linearly Uncoupled Resonators

## TL;DR

This paper introduces a novel system of two resonators coupled only through nonlinear interactions, enabling local control of their linear properties and revealing unique dynamical behaviors relevant to nonlinear optics.

## Contribution

It presents the first demonstration of linearly uncoupled resonators connected via nonlinear coupling, with implications for classical and quantum nonlinear optical studies.

## Key findings

- System exhibits peculiar nonlinear dynamical properties.
- Enables local control of resonator linear properties.
- Implications for dual-pump spontaneous four-wave mixing.

## Abstract

We demonstrate a system composed of two resonators that are coupled solely through a nonlinear interaction, and where the linear properties of each resonator can be controlled locally. We show that this class of dynamical systems has peculiar properties with important consequences for the study of classical and quantum nonlinear optical phenomena. As an example we discuss the case of dual-pump spontaneous four-wave mixing.