Statistical Methods in Quantum Optics 2 pp 285-333 | Cite as

# Many Atoms in a Cavity II: Quantum Fluctuations in the Small-Noise Limit

## Abstract

We proceed now from the macroscopic theory of the previous chapter to the analysis of quantum fluctuations for many atoms in a cavity. The program is similar to that of Chap. 8, where the phase-space approach to the quantum theory of the laser was developed; we work from a master equation to a Fokker–Planck equation with the help of the system size expansion. The treatment therefore is restricted to the small-noise limit. Recall, though, that the collective dipole coupling may be strong-√(*N*_{eff})*g*_{max} >> ½(*κ*+*γ*_{ h }/2)- while the dipole coupling of the individual atoms is weak-*g*_{max}<<*γ*_{ h }/2, *κ*; thus, collective vacuum Rabi oscillations may appear, even for a system size parameter *n*_{sat} = *γγ*_{ h }/8*g*^{ 2 }_{max}>>1.

## Keywords

Cavity Mode Planck Equation Quantum Fluctuation Bloch Sphere Wigner Representation## Preview

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