Dicke and Fano effects in single photon transport

TL;DR

This paper theoretically analyzes single photon transport in a 1D cavity array, revealing how Fano and Dicke effects influence transmission spectra, with controllable band edges and miniband formation due to atom-cavity interactions.

Contribution

It provides analytical expressions for reflection and transmission, demonstrating the control of spectral features via atomic detuning and the analogy to Fano and Dicke phenomena.

Findings

Transmission spectrum exhibits allowed and forbidden bands.

Miniband formation results from indirect atom coupling.

Band edges are tunable through atomic detuning.

Abstract

The single photon transport through a one dimensional array of cavities is studied theoretically. Analytical expressions of the reflection and transmission are given. The transmission shows an energy spectrum with forbidden and allowed bands that depends on the detuning parameter of the system. We show that the allowed miniband is formed due to the indirect coupling between the atoms in each cavity. In addition, the band edges can be controlled by the degree of detuning of the level of the atoms. We discuss the analogy between this phenomenon with the Fano and Dicke effects.