Transfer matrix approach to determining the linear response of all-fiber networks of cavity-QED systems

TL;DR

This paper introduces a transfer matrix method for efficiently analyzing the linear optical response of complex fiber-based cavity-QED networks, enabling scalable calculations and comparison with experimental data.

Contribution

The paper develops a transfer matrix approach for modeling the linear response of fiber-cavity quantum systems, providing a scalable and accurate alternative to existing models.

Findings

The transfer matrix method accurately predicts transmission and reflection spectra.

Comparison shows advantages over single-mode linearized models.

Method is demonstrated on a two-cavity fiber network.

Abstract

A semiclassical model is presented for characterizing the linear response of elementary quantum optical systems involving cavities, optical fibers, and atoms. Formulating the transmission and reflection spectra using a scattering-wave (transfer matrix) approach, the calculations become easily scalable. To demonstrate how useful this method is, we consider the example of a simple quantum network, i.e., two cavity-QED systems connected via an optical fiber. Differences between our quasi-exact transfer matrix approach and a single-mode, linearized quantum-optical model are demonstrated for parameters relevant to recent experiments with coupled nanofiber-cavity-QED systems.