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Physical Review A

Coherent hole burning and Mollow absorption effects in the cycling transition Fe=0↔Fg=1 subject to a magnetic field

Ying Gu, Qingqing Sun, Qihuang Gong

Published Jun 7, 2004• 19 citations
Publisher

Abstract

With saturation and probing by circularly polarized fields, quantum coherence effects are investigated for the cycling transition ${F}_{e}=0\ensuremath{\leftrightarrow}{F}_{g}=1$, which is subject to a linearly polarized field and a magnetic field. The saturation field is applied to the case of maximum coherence between the drive Rabi frequency and magnetic field, corresponding to the electromagnetically induced absorption (EIA) with negative dispersion found by Gu et al. For a small saturation Rabi frequency, holes are burned in two Autler-Towns peaks outside two symmetric electromagnetically induced transparency windows due to the two-photon resonance. However, when the saturation Rabi frequency is comparable with the drive Rabi frequency, holes caused by the coherent population oscillation appear in the EIA spectrum. Finally, when the saturation Rabi frequency is large enough, several emission peaks are observed due to the Mollow absorption effects. Furthermore, the dispersion at the pump-probe detuning center is kept negative with an increase in saturation field, which is a precursor of superluminal light propagation.

DOI
10.1103/physreva.69.063805

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With saturation and probing by circularly polarized fields, quantum coherence effects are investigated for the cycling transition Fe=0\ensuremath↔Fg=1{F}_{e}=0\ensuremath{\leftrightarrow}{F}_{g}=1Fe​=0\ensuremath↔Fg​=1, which is subject to a linearly polarized field and a magnetic field. The saturation field is applied to the case of maximum coherence between the drive Rabi frequency and magnetic field, corresponding to the electromagnetically induced absorption (EIA) with negative dispersion found by Gu et al. For a small saturation Rabi frequency, holes are burned in two Autler-Towns peaks outside two symmetric electromagnetically induced transparency windows due to the two-photon resonance. However, when the saturation Rabi frequency is comparable with the drive Rabi frequency, holes caused by the coherent population oscillation appear in the EIA spectrum. Finally, when the saturation Rabi frequency is large enough, several emission peaks are observed due to the Mollow absorption effects. Furthermore, the dispersion at the pump-probe detuning center is kept negative with an increase in saturation field, which is a precursor of superluminal light propagation.
We investigate the quantum coherence effects of a closed transition F e = 1 ↔ F g = 0 driven by transverse linearly polarized light field (with [sgrave] ± components) and probed by another transverse, linearly polarized light field. Owing to the competition of two-photon gain and single-photon absorption, the absorption spectrum is shown as a combination of electromagnetically induced transparency (EIT) and Mollow absorption spectrum (MAS). In the degenerate case, the MAS covers the EIT window at the pump-probe detuning centre. In the magnetic field, two single-photon absorption peaks inside the EIT windows appear when the drive Rabi frequency is smaller than the Zeeman splitting while, when the Rabi frequency is larger than the Zeeman splitting, we find four emission peaks due to the two-photon gain. A transition from positive to negative dispersion is obtained, which means a shift between the subluminal and superluminal group velocities.
For a transition ${F}_{e}=0\ensuremath{\leftrightarrow}{F}_{g}=1$ driven by a linearly polarized light and probed by a transverse light, which has two equal circular components and is orthogonal to the linear polarization of the drive field and magnetic field, quantum coherence effects are investigated. Due to the coupling between the drive Rabi frequency and the Zeeman splitting, electromagnetically induced transparency, electromagnetically induced absorption, and the transition from positive to negative dispersion are obtained, as well as the populations coherently oscillating with a pump-probe detuning in the steady state. At the zero pump-probe detuning, the subluminal and superluminal light propagations are predicted. Finally, there exist the large population fluctuations when we vary the pump-probe detuning.
For a closed transition Fe = 1 ↔ Fg = 2 driven by linearly polarized light and probed by circularly polarized light, quantum coherence effects induced by the Zeeman sublevels belonging to the different states are investigated. When the Zeeman splitting Δe of the excited level is larger than the Zeeman splitting Δg of the ground level, by increasing the drive Raby frequency, only the widening of the electromagnetically induced transparency (EIT) window with positive dispersion is found. In the opposite case, i.e. Δe ≤ Δg, in a moderate drive Rabi frequency, electromagnetically induced absorption with negative dispersion is obtained due to the shifting of the transparency points. Moreover, for the case of Δe ≤ Δg, a transition from subluminal to superluminal light propagation is predicted at the zero pump–probe detuning.
We investigate the dispersion and absorption in the coherently prepared two-level degenerate systems. Driven by a parallel polarized light and probed by a transverse polarized light, in the degeneracy case, only the positive dispersion is obtained at the zero pump-probe detuning, as well as electromagnetic induced transparency. When magnetic field breaks the degeneracy, we find that the dispersion is shifted from positive, via negative, to positive when varying the drive Rabi frequency, which means a transition between the superluminal and subluminel group velocity. Simultaneously, in these systems, the electromagnetic induced transparency, electromagnetic induced absorption and Mollow absorption spectrum are shown in the absorption spectra.
Four-wave mixing (FWM) in a cycling transition Fg =1 ↔ Fe =0 is investigated. Subject to a linearly polarized pump field with frequency ω c and a magnetic field, and simultaneously saturated and probed by the circularly polarized fields (σ ±) with frequencies ω s and ω p , three kinds of FWM fields with frequencies: 2ω s − ω p, ω c+ω s − ω p and ω c − ω s+ω p, emit. The multi-peaked structure of FWM spectra is obtained and explained as the resonant emission between the ‘virtual states’ in the dressed picture. The generated FMW signals have high quantum efficiency for a wide range of drive Rabi frequency and saturation Rabi frequency. Finally, the emitted fields ω c + ω s − ω p and ω c − ω s+ω p have about the same intensity for the well matching among the Zeeman splitting, drive Rabi frequency and saturation Rabi frequency.
The transparency and absorption of the Λ-type three-level scheme driven by two coupling fields were investigated.Mollow profile was obtained in a two-level scheme where a strong coupling field and a probing field were applied on the same optical transition between excited state and ground state.There was another coupling field which drived excited state to another ground states hyperfine level in this paper.The Λ-type three-level scheme driven by two coupling fields was introduced,and some new quantum coherent phenomena were given.It can be seen that there is superposition of Mollow profile and electromagnetically induced transparency(EIT) or electromagnetically induced absorption(EIA).The dependence of the position of EIT or EIA on Rabi frequencies and frequency detunings of two coupling fields is investigated.The results can be explained by dressed-state formalism.