Multi-mode effects in cavity QED based on a one-dimensional cavity array

TL;DR

This paper models a one-dimensional cavity array system to analyze multi-mode effects in cavity QED, revealing how atom placement influences transmission spectra and vacuum Rabi splitting through interference effects.

Contribution

It provides an exact theoretical analysis of photon transmission and multi-mode effects in a 1D cavity array with a super cavity and a two-level atom, highlighting interference phenomena.

Findings

Transmission peaks near eigen-energies predicted

Vacuum Rabi splitting observed at antinode placement

Deep valleys in transmission due to destructive interference

Abstract

We present a microscopic mo del of cavity quantum electro dynamics based on a one-dimensional coupled cavity array (1D CCA), where a sup er cavity (SC) is comp osed by a segment of the 1D CCA with relatively smaller couplings with the outsides. The single-photon scattering problem for the SC empty or with a two-level atom is investigated. We obtain the exact theoretical result on the transmission rate for our system, which predicts the transmission p eaks shall app ear near the eigen-energies. Our numerical results further prove that the SC is a well-defined multi-mo de cavity. When a two-level atom resonant with the SC lo cates at the antino de of the resonant mo de, the transmission sp ectrum shows a clear sign of vacuum Rabi splitting as exp ected. However, when the atom lo cates at the no de of the resonant mo de, we observe a deep valley in the transmission p eak, which can b e explained by the destructive interference of two transmission channels, one is the resonant mo de, while the other is arising from the atom coupling with the non-resonance mo des. The effect of non-resonance mo des on vacuum Rabi splitting is also analyzed.