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Physical Review A

Emission and absorption by two atoms in a damped cavity

Mubeen A. Mir, Tahira Nasreen, M. S. K. Razmi

Published Apr 1, 1990• 5 citations
Publisher

Abstract

Emission and absorption from two two-level atoms interacting with a single mode of a cavity field in the vacuum state are investigated. The role of cavity losses, detuning, and cooperativity on the Rabi oscillations is studied. Absorption from a weak probe field with the cavity at zero temperature computed to third order in the atom-probe coupling constant is analyzed to determine the effect of cavity damping and detuning on the Rabi splitting.

DOI
10.1103/physreva.41.4087

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Emission and absorption from two two-level atoms interacting with a single mode of a cavity field in the vacuum state are investigated. The role of cavity losses, detuning, and cooperativity on the Rabi oscillations is studied. Absorption from a weak probe field with the cavity at zero temperature computed to third order in the atom-probe coupling constant is analyzed to determine the effect of cavity damping and detuning on the Rabi splitting.
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We have shown that an ultranarrow dark region can be associated with the feature of significant amount of vaccuum-Rabi splitting in the absorption spectrum of a weak coherent field probing a two-level atom strongly coupled to two degenerate cavity-modes with preselected polarizations. The cavity-induced transparency is produced by the decay-interference of the two independent cavity modes interacting with the same reservoir. It has been shown that the resonant probe transparency is independent of the individual decay rates of the cavity modes. The present model exhibits the possibility of obtaining the narrow dark transparency associated with the significant amount of Rabi splitting in the absorption spectrum with the appreciable value of the cavity-losses.
We calculate the probe spectrum for multilevel atoms in a damped, weakly driven cavity supporting two degenerate orthogonally polarized modes. One mode is weakly driven by a linearly polarized external field. The atoms, initially prepared in a mF=0{m}_{F}=0mF​=0 hyperfine ground state, couple to the driven mode by making a $\ensuremath{\Delta}{m}_{F}=0$ transition and to the orthogonally polarized mode by making $\ensuremath{\Delta}{m}_{F}=\ifmmode\pm\else\textpm\fi{}1$ transitions to other hyperfine sublevels. We compare probe spectra, the intensity of the driven mode, the undriven mode, and the atomic excitation probability as a function of the detuning of the driving laser from the cavity resonance for three- and four-level atomic models. In both cases the spectrum of the driven mode is a vacuum Rabi doublet familiar from the driven, damped Jaynes-Cummings model. The undriven mode spectrum is a triplet with the maximum on resonance for the three-level model while the four-level model has a four-peaked spectrum. We discuss the role of strong coupling to the undriven mode in accounting for the qualitative difference between the models.
Spontaneous emission in a planar microcavity by two identical and spatially separated two-level atoms, both of them initially excited, is considered under fourth-order perturbation approximation in atom-field coupling constants. A delay-differential equation with proper retardation times for the probability of both atoms in the upper state is derived and expressions for the emitted-light intensity and spectrum are given. It is numerically shown that, while two-atom cooperation is enhanced for small interatomic distances, the two-atom vacuum Rabi oscillation is somewhat suppressed compared to the single-atom oscillation level when the interatomic separation is close to the cavity transverse coherence length.