Dissipation Properties of Coupled Cavity Arrays

TL;DR

This paper introduces a novel approach to analyze dissipation in coupled cavity arrays using quasi-bosons, revealing how bath coupling affects localized modes and enabling efficient computation of photon transport and array quality.

Contribution

It presents a new quasi-boson method to analyze dissipation in coupled cavity arrays, simplifying calculations without explicit bath coordinates.

Findings

Bath coupling renormalizes localized modes and cavity interactions.

Total photon transmission rate is calculated for the array.

A parameter to evaluate the array's quality is proposed.

Abstract

We propose an approach to analyze the dissipation properties of coupled cavity arrays. Employing a kind of quasi-boson, it is shown that the coupling to a bath renormalizes the localized mode and the interaction between cavities. By virtue of without having to mention the coordinates of bath, this approach would be great conceptual and, moreover, computation advantage. Based on the result, a single-photon transport in the array is examined, and the total transmission rate is presented. Besides, we also suggest a parameter to scale quality of the array.