Atom-field correlations in the weak-excitation limit of absorptive optical bistability

Abstract

We calculate the steady-state and first-order time varying atom-field correlation functions in the weak-excitation limit of absorptive optical bistability from a linearized theory of quantum fluctuations. We formulate a Fokker-Planck equation in the positive P representation following the phase-space analysis of [H. J. Carmichael, Phys. Rev. A 33, 3262 (1986)] which is suitable for the determination of cross-correlations as it does not resort to adiabatic elimination. Special emphasis is placed on the limit of collective strong coupling as attained from a vanishing photon-loss rate. We compare to the cavity-transmission spectrum with reference to experimental results obtained for macroscopic dissipative systems, discussing the role of anomalous correlations arising as distinct nonclassical features.

arXiv comment8 pages, 4 figures, 24 references

References in corpus (6)

• Cavity QED with a Bose-Einstein condensate
• Cavity Nonlinear Optics at Low Photon Numbers from Collective Atomic Motion
• Spontaneous dressed-state polarization in the strong driving regime of cavity QED
• Optical bistability in strong-coupling cavity QED with a few atoms
• Optical bistability and nonlinear dynamics by saturation of cold Yb atoms in a cavity
• Adiabatic elimination for ensembles of emitters in cavities with dissipative couplings

Cited by in corpus (1)

• Collective atomic correlations in absorptive optical bistability without adiabatic elimination: exemplifying nonclassicality from a linearized treatment of fluctuations