# Persistent coherent beating in coupled parametric oscillators

## TL;DR

This paper uncovers a new dynamical regime in coupled parametric oscillators where persistent, coherent beats occur without reaching a steady state, revealing complex dynamics that extend beyond traditional Ising model simulations.

## Contribution

The study introduces and characterizes a novel persistent beating regime in coupled parametric oscillators, both theoretically and experimentally, highlighting its dependence on coupling type and parameters.

## Key findings

- Persistent coherent beats occur near oscillation threshold.
- The regime depends on the nature of coupling (dissipative or energy preserving).
- This behavior extends the potential applications of coupled oscillators beyond Ising models.

## Abstract

Coupled parametric oscillators were recently employed as simulators of artificial Ising networks, with the potential to solve computationally hard minimization problems. We demonstrate a new dynamical regime within the simplest network - two coupled parametric oscillators, where the oscillators never reach a steady state, but show persistent, full-scale, coherent beats, whose frequency reflects the coupling properties and strength. We present a detailed theoretical and experimental study and show that this new dynamical regime appears over a wide range of parameters near the oscillation threshold and depends on the nature of the coupling (dissipative or energy preserving). Thus, a system of coupled parametric oscillators transcends the Ising description and manifests unique coherent dynamics, which may have important implications for coherent computation machines.