Non-Hermitian Dynamics Mimicked by a Hermitian Nonlinear System

TL;DR

This paper demonstrates that a Hermitian nonlinear optical system can replicate non-Hermitian dynamics, including exceptional points and damping, offering new ways to improve efficiency and sustainability in optical systems.

Contribution

It introduces a novel approach where Hermitian nonlinear systems mimic non-Hermitian behavior, enabling new control over system dynamics and potential applications in laser and industrial technologies.

Findings

System exhibits damping and steady states similar to non-Hermitian systems.

Second harmonic generation acts as an irreversible loss mechanism.

Potential to improve efficiency in parametric amplifier systems.

Abstract

We illustrate that a Hermitian nonlinear optical system consisting of hybridized parametric amplification and second harmonic generation mimics non-Hermitian evolution dynamics. Oscillation damping, evolution to a static steady state, and exceptional points arise from the use of second harmonic generation as an irreversible loss mechanism. The investigated system can be used to solve problems of inefficiency in parametric amplifier systems used widely in laser science and industrial applications. More generally, these findings suggest a new paradigm for the engineering of system dynamics where energy recovery and system sustainability are of importance.