Quantum Fluctuations in a Cavity QED System with Quantized Center Of Mass Motion

TL;DR

This paper analyzes how quantized atomic motion affects quantum fluctuations and photon statistics in a cavity QED system, revealing that atomic motion can diminish nonclassical photon effects, with detailed analytic results for correlation functions.

Contribution

It provides the first analytic expressions for second order intensity and intensity-field correlations in a cavity QED system with quantized atomic motion.

Findings

Atomic motion coupling can reduce nonclassical photon statistics.

Analytic formulas for $g^{(2)}( au)$ and $h_{ heta}( au)$ are derived.

Motion effects are less detrimental to intensity-field correlations.

Abstract

We investigate the quantum fluctuations of a single atom in a weakly driven cavity, where the center of mass motion of the atom is quantized in one dimension. We present analytic results for the second order intensity correlation function $g^{(2)}(\tau)$ and the intensity-field correlation function $h_{\theta}(\tau)$, for both transmitted and fluorescent light for weak driving fields. We find that the coupling of the center of mass motion to the intracavity field mode can be deleterious to nonclassical effects in photon statistics; less so for the intensity-field correlations.