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

Part of the Theoretical and Mathematical Physics book series (TMP)


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-√(Neff)gmax >> ½(κ+γ h /2)- while the dipole coupling of the individual atoms is weak-gmax<<γ h /2, κ; thus, collective vacuum Rabi oscillations may appear, even for a system size parameter nsat = γγ h /8g 2 max>>1.


Cavity Mode Planck Equation Quantum Fluctuation Bloch Sphere Wigner Representation 
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© Springer-Verlag Berlin Heidelberg 2007

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