The scattering coefficients of superconducting microwave resonators: II. System-bath approach

TL;DR

This paper presents a unified quantum framework for analyzing scattering in superconducting microwave resonators, including chains with delays, revealing transport properties akin to photonic crystals and elucidating decay mechanisms.

Contribution

It introduces a generalized quantum approach for various resonator geometries and extends analysis to resonator chains with time delays, connecting quantum and classical results.

Findings

Quantum and classical analyses are consistent.

Transport properties similar to photonic crystals are identified.

Decay and decoherence mechanisms are characterized.

Abstract

We describe a unified quantum approach for analyzing the scattering coefficients of superconducting microwave resonators with a variety of geometries. We also generalize the method to a chain of resonators with time delays, and reveal several transport properties similar to a photonic crystal. It is shown that both the quantum and classical analyses provide consistent results, and they together reveal different decay and decoherence mechanisms in a general microwave resonator. These results form a solid basis for understanding the scattering spectrums of networks of microwave resonators, and pave the way for applying superconducting microwave resonators in complex circuits.