Quantum Fluctuations of a Cavity QED System with Periodic Potential

by Jones, Dyan Lynne

We examine a cavity QED system comprised of a single atom, a driven cavity, and an optical lattice. Cavity decay, spontaneous emission, detunings, and Franck-Condon factors are all accounted for. We expand on previous work by releasing the harmonic approximation often used for the lattice and replacing it with Mathieu functions. The intensity-intensity and intensity-field correlation functions are examined in the weak-field limit in order to identify and explain non-classical properties therein.