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Physical Review A

First-principles experimental observation of coherent hole burnings in atomic rubidium vapor

Xiaogang Wei, Jin‐Hui Wu, Hai-Hua Wang, Ang Li, Zhi‐Hui Kang, Yun Jiang, Jin-Yue Gao

Published Dec 20, 2006• 17 citations
Publisher

Abstract

We demonstrate in experiment that the simultaneous use of two laser fields, a saturating and a coupling field, allows us to observe three or four coherent hole burnings with controllable widths, depths, and positions in a single Doppler absorption profile. Appropriate theoretical simulations and analysis show that these correlated coherent hole burnings result from the combination of strong saturating excitation and dynamically induced quantum coherence.

DOI
10.1103/physreva.74.063820

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We demonstrate in experiment that the simultaneous use of two laser fields, a saturating and a coupling field, allows us to observe three or four coherent hole burnings with controllable widths, depths, and positions in a single Doppler absorption profile. Appropriate theoretical simulations and analysis show that these correlated coherent hole burnings result from the combination of strong saturating excitation and dynamically induced quantum coherence.
Five coherent hole-burning can be simultaneously observed in the absorption spectra of four-level N-style atoms vapors. In this system they adopt a saturated laser co-propagates and two coupling lasers counter-propagate with a probe laser, and the saturated laser can not be in the destructive Doppler state with the probe light. The positions of the coherent hole-burning can be explained by Dressed-state theory. The middle narrow deep hole-burning is induced by the superposition of two coherent hole-burnings. The depth of the coherent hole-burning can be changed by adjusting the reference parameters and the Rabi frequency of the saturated laser. The positions of the coherent hole-burning can be changed by modulating the Rabi frequency of the probe light. By numerical simulation it is found that Rabi frequency of the saturated light plays an important role in slowing the propagating speed. These results may be useful in optical quantum memory and optical quantum information.
In a Doppler broadened three-level Λ-type atomic system, we investigate the absorption spectrum of a weak probe laser in the presence of a saturating laser and a coupling laser. We find that, in order to observe coherent hole-burnings effectively, the two lower levels should be so well spaced that atomic collisions can be neglected, and the saturating (coupling) laser should counter-propagate (co-propagate) with the probe laser. We also give a qualitative analysis to understand the physical origin of coherent hole-burnings.
We show theoretically that the propagation of light can be slowed down considerably using the method of coherent hole-burning in a Doppler broadened three-level lambda-type atomic medium without the Doppler-free configurations. The reduction of group velocity of light pulse is achieved by the application of a saturating beam and a strong coupling beam which produce a narrow spectral hole-burning at resonance. We can obtain a larger group index than that using the method of saturation absorption spectroscopy in Doppler-broadened two-level atomic systems.
In this work, we present a set of experiments involving four-wave mixing processes in rubidium atoms. We employ several experimental configurations exploring two- and three-level systems in cascade or Λ configurations, all of which are in a copropagating geometry, to investigate different physical phenomena present in each scenario. In the first experiment, we combine a cw diode laser and a 1 GHz femtosecond pulse train to generate coherent blue light through the four-wave mixing process in hot rubidium vapor. The generated coherent signal is analyzed by scanning either the diode frequency or the repetition rate of the frequency comb. In both cases, the cw laser induces an Autler- Townes splitting with a wide separation in the doublet structure due to the configuration of copropagating fields. To model these results, we employ the density matrix formalism to write the Bloch equations and solve them numerically. The solutions allow us to explore other cases beyond those involving our experimental setup, comparing the response of the upper-level population and the generated signal coherence for homogeneously and non-homogeneously broadened systems. Moreover, in this same experiment, we also observed an unexpected interference effect between excitation routes of the four-wave mixing process when the repetition rate of the pulse train is scanned. The theoretical model demonstrates that the interfering effect appears only when the repetition rate is carefully chosen to produce a pair of modes of the frequency comb resonant with both one- and two-photon transitions for the same atomic velocity group. In the second experiment, still with a hot rubidium vapor, we explore two symmetrical degenerate four- wave mixing signals induced by two almost copropagating laser beams, with~ka and~kb wave-vectors, and detected simultaneously in the 2~ka −~kb and 2~kb −~ka directions. Each spectrum has a single peak with a short frequency separation between them, which our model indicates is due to the nonlinear behavior of the refractive indexes, a consequence of the high intensity of both input fields. Finally, we use the same experimental setup for the two symmetrical signals to study the field intensity fluctuations of the degenerate four-wave mixing signals and the transmission signals. In this case, the sample is an ensemble of cold rubidium atoms in a magneto-optical trap. There is an intensity- intensity cross-correlation between the signals due to the resonant phase-noise to amplitude-noise conversion. In this type of cold system, we can neglect the Doppler- broadening, allowing a straightforward study of the dependency of the correlations on the laser detuning. In these measurements, we observe a type of oscillation in the correlation curves that the theoretical model indicates to be connected with Rabi oscillations, revealed by the fluctuations long after the transient period.
An electromagnetically induced transparency is observed at one arm of a three-level \ensuremath{\Lambda}-type system in a rubidium D1 line (794.8 nm) with an 85% reduction in absorption, when a pumping field is present at the other arm. This reduction in absorption for the weak probe field is due to the atomic coherence produced by the strong pumping field. This experiment is done in a Rb vapor cell at room temperature with cw diode lasers for both pumping and probe beams in a Doppler-free configuration. A simple theoretical treatment including Doppler broadening is in good qualitative agreement with the experimental measurement.