Strong coupling diagnostics for multi-mode open systems

TL;DR

This paper introduces a novel diagnostic method for identifying strong coupling in multi-mode open systems, extending exceptional point analysis to better understand mode hybridization and optimize system performance.

Contribution

It extends exceptional point analysis to multi-mode open systems, enabling identification of hybridized modes and aiding in the design of efficient cooling regimes.

Findings

Eigenvector analysis reproduces EP features

Method identifies physical hybridized modes

Determines parameter regimes for optimal cooling

Abstract

We present a new method to diagnose strong coupling in multi-mode open systems. Our method presents a non-trivial extension of exceptional point (EP) analysis employed for such systems; specifically, we show how eigenvectors can not only reproduce all the features predicted by EPs but are also able to identify the physical modes that hybridize in different regions of the strong coupling regime. As a demonstration, we apply this method to study hybridization physics in a three-mode optomechanical system and determine the parameter regime for efficient sideband cooling of the mechanical oscillator in the presence of reservoir correlations.