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Journal of the Optical Society of America B

Polarization interference in six-wave mixing in a Doppler-broadened N-type four-level system

Jinyan Niu, Ruquan Wang, Ling-An Wu, Panming Fu

Published Nov 9, 2009• 5 citations
Publisher

Abstract

In nonlinear atomic gaseous media the interference between independent macroscopic polarizations of different ensembles within the atomic velocity distribution can lead to anomalous behavior of the multiwave mixing spectra. For phase-conjugate six-wave mixing (SWM) in a Doppler-broadened N-type four-level system, it is found that the SWM spectrum can be either Doppler-free or very broad, depending on the directions of the incident beams and the ratios between the magnitudes of the wave vectors. This polarization interference can be controlled by the strong coupling field which, on the other hand, can induce Autler-Townes (AT) splitting when the SWM spectrum is Doppler-free. This technique may find special applications as an improved form of AT spectroscopy with higher resolution.

DOI
10.1364/josab.26.002268

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In nonlinear atomic gaseous media the interference between independent macroscopic polarizations of different ensembles within the atomic velocity distribution can lead to anomalous behavior of the multiwave mixing spectra. For phase-conjugate six-wave mixing (SWM) in a Doppler-broadened N-type four-level system, it is found that the SWM spectrum can be either Doppler-free or very broad, depending on the directions of the incident beams and the ratios between the magnitudes of the wave vectors. This polarization interference can be controlled by the strong coupling field which, on the other hand, can induce Autler-Townes (AT) splitting when the SWM spectrum is Doppler-free. This technique may find special applications as an improved form of AT spectroscopy with higher resolution.
We study six-wave mixing (SWM) spectroscopy based on electromagnetically induced transparency in a Doppler-broadened cascade four-level system. It is found that the SWM spectra are extremely sensitive to the configuration of the incident beams, where the linewidth can be either Doppler-free or very broad, due to the polarization interference of atoms of different velocities. This polarization interference can be controlled in the presence of a strong coupling field. Moreover, SWM can be employed as a new type of Doppler-free Autler–Townes (AT) spectroscopy, which has better spectral resolution than conventional AT spectroscopy. Finally, we also reveal the intrinsic connection between frequency-domain SWM spectroscopy and time-domain photon echoes through studying the time-domain correspondence of SWM.
The effects of Doppler broadening on Autler-Townes (AT) splitting in six-wave mixing (SWM) are investigated by the dressed-state model. We analyze the velocities at which the atoms are in resonance with the dressed states through Doppler frequency shifting and find that, depending on the wave-number ratio, there may be two resonant velocities which can originate from resonance with one of the dressed states or from resonance with two different dressed states. Based on this model, we discuss a novel type of AT doublet in the SWM spectrum, where macroscopic effects play an important role. Specifically, the existence of resonant peaks requires polarization interference between atoms of different velocities in addition to a change in the number of resonant atoms involved. Our model can also be employed to analyze electromagnetically induced transparency resonance and other types of Doppler-free high-resolution AT spectroscopy.
We study dressed-atom two-photon resonant nondegenerate four-wave mixing (NFWM) in a Doppler-broadened system. It is found that there exists interference between the macroscopic field polarizations from different ensembles of atoms within the atomic velocity distribution. This polarization interference can cause significant modification of the NFWM spectra. We also show that two-photon resonant NFWM in dressed atoms can be employed as a new type of Doppler-free high-resolution Autler-Townes spectroscopy for measuring transition dipole moments between two highly excited atomic states.
We study phase-conjugate six-wave mixing spectroscopy based on electromagnetically-induced-transparency in a Doppler-broadened folded four-level system. It is found that the six-wave mixing spectrum can be either Doppler-free or very broad, depending on whether the interference between the polarisations of atoms with different velocities is constructive or destructive. To obtain the Doppler-free six-wave mixing spectrum in the folded four-level system, the conditions are more stringent in comparison with those in the cascade and N -type four-level systems. This polarisation interference can be controlled in the presence of a strong coupling field.
Abstract Polarized Autler–Townes (AT) splitting of six-wave mixing (SWM) involving Rydberg atoms is for the first time observed in a thermal vapor cell. By scanning the frequency detuning of the dressing field, AT splitting of Rydberg SWM is compared with that of non-Rydberg SWM with an elliptically polarized probe field. It is demonstrated that the AT spectra are strongly dependent on the interaction between Rydberg atoms. Moreover, AT splitting of SWM is cyclically modulated via a multi-dark state and presented by the corresponding spatial SWM AT splitting images. The theoretical calculations are in good agreement with the experimental results.
We show that polarization properties of the suppression and enhancement as well as the Autler-Townes (AT) splitting of two coexisting six-wave mixing (SWM) processes in multi-Zeeman levels atomic system. By scanning the frequency detuning of the dressing field, we observe the suppression and enhancement as well as the AT splitting of the two coexisting SWM processes with the different polarized probe beams. Different polarization states of the probe beam can select different transitions among multi-Zeeman levels and different dressing strengths. The AT splitting separations get slightly large as the probe beam changes from the linearly polarized state to the circularly polarized one. Under the conditions of different dressing fields, the polarization dependence of the SWM enhancement and suppression shows the inverse variation. Theoretical calculations are carried out, which are in good agreement with the experimental results.