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Journal of Physics B Atomic Molecular and Optical Physics

Optical six-wave mixing via two forbidden transitions in the potassium atom

Stoyan Dinev, Georgi Borislavov Hadjichristov, Ivan L. Stefanov

Published Dec 28, 1991• 2 citations
Publisher

Abstract

Optical six-wave mixing via two forbidden transitions has been studied in the potassium atom by resonant interaction with two tunable dye lasers. Despite the two quadrupole resonances, one in excitation and one in emission, the non-linear optical susceptibility responsible is significantly enhanced. Comparison is made with other forbidden non-linear schemes, realized by the same two-wavelength resonant excitation.

DOI
10.1088/0953-4075/24/24/015

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Journal of the Optical Society of America B•Oct 1, 2000•1 citation
Optical six-wave mixing via two forbidden transitions has been studied in the potassium atom by resonant interaction with two tunable dye lasers. Despite the two quadrupole resonances, one in excitation and one in emission, the non-linear optical susceptibility responsible is significantly enhanced. Comparison is made with other forbidden non-linear schemes, realized by the same two-wavelength resonant excitation.
Two-photon resonant optical processes, using potassium ns2S1/2 states (7 ≤ n ≤ 20), are investigated in detail by a pulsed dye laser. About 100 coherent lines between 288–422 nm are generated through the processes ωUV ± ωIR = 2ωL and [Formula: see text]. The strongest lines (near mP–4S transitions) are formed by parametric oscillation and are generally split into components that are frequency shifted relative to atomic transitions. About 70 lines are generated by six-wave mixing processes and 15 other lines by four-wave mixing processes. The wavelengths, relative intensities of the lines, and the components of the strongest lines are explained with a theoretical analysis based on the wave equation, atomic polarization, and phase-match condition for both wave-mixing processes and parametric oscillations.
We report an experimental study of resonant six-wave mixing in coherently prepared Rb atoms. Electromagnetically induced transparency in a four-level atomic system suppresses the linear susceptibility and enhances the nonlinear susceptibilities, which leads to the resonantly enhanced, slow-photon six-wave mixing at low light intensities. The light emission in the six-wave mixing process can be viewed as resulting from diffraction of slow light off a resonant nonlinear grating induced in the four-level system by a standing-wave pump field.
The interaction of a laser with potassium atoms is investigated by monitoring the radiation of the 5P-4S transition under the two-photon 4S(1/2)-6S(1/2) excitation. For low number density and laser intensity the observed radiation is parametric axial or conical, depending on the laser detuning from the two-photon resonance, the number density and the laser intensity. With increasing laser intensities and number densities, an additional delayed component is observed corresponding to a two-step four-wave mixing with the participation of internally generated photons. A two-photon quantum interference effect is observed for the total (axial and conical) parametric four-wave mixing emission. A deviation from the proposed model under certain experimental parameters is attributed to a two-step four-wave mixing and the phase mismatch of the parametric processes.
Resonances of the six-wave mixing susceptibility χ(5)(ω1, ω1, ω1,-ω2,-ω2) at frequency 3ω1-2ω2 of a system of two-level atoms dissipating through the spontaneous emission and collisions and driven by a weak bichromatic external field of frequencies ω1 and ω2 in a finite Q cavity are analyzed. It is shown that the atomic collisions not only induce the usual Bloembergen resonances but that they also play a major role in enhancing the transitions among the higher-order dressed states, thereby bringing out some of the quantum resonances that are suppressed in the absence of collisions. The important contribution of collisions in this higher-order nonlinear process is the generation of the subharmonic resonances at ±1/2 times the hyperfine splitting of the first and the second excited manifolds.