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Chinese Physics B

Four-wave mixing and six-wave mixing in a four-level confined atomic system

Li Chang-Biao, Zhang Yan-Peng, Nie Zhi-Qiang, Zheng Huai-Bin, Shi Mei-Zhen, Liu Dong-Ning, Jianping Song, Keqing Lu

Published Dec 1, 2009• 1 citation
Publisher

Abstract

We have investigated coexisting four-wave mixing and six-wave mixing (SWM) in ultra-thin, micrometre and long vapour cells. There exists competition between Dicke-narrowing features and polarization interference in the micrometre cell. The oscillation behaviour of SWM signal intensities and linewidths results from destructive interference. With a larger destructive interference, the SWM signal in ultra-thin cells shows a narrow spectrum, in contrast to the long cell case. Due to the Dicke-narrowing features, a narrow spectrum can be obtained, and such spectra can be used for high precision measurements and metrological standards.

DOI
10.1088/1674-1056/18/12/039

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We have investigated coexisting four-wave mixing and six-wave mixing (SWM) in ultra-thin, micrometre and long vapour cells. There exists competition between Dicke-narrowing features and polarization interference in the micrometre cell. The oscillation behaviour of SWM signal intensities and linewidths results from destructive interference. With a larger destructive interference, the SWM signal in ultra-thin cells shows a narrow spectrum, in contrast to the long cell case. Due to the Dicke-narrowing features, a narrow spectrum can be obtained, and such spectra can be used for high precision measurements and metrological standards.
This paper presents a theoretical study of wavelength dependence four-wave-mixing (FWM) spectroscopy in a micrometric thin atomic vapour. It compares three cases termed as mismatched case I, matched case and mismatched case II for the probe wavelength less, equal and greater than the pump wavelength respectively. It finds that Dicke-narrowing can overcome width broadening induced by Doppler effects and polarisation interference of thermal atoms, and high resolution FWM spectra can be achieved both in matched and mismatched wavelength for many cases. It also finds that the magnitude of the FWM signal can be dramatically modified to be suppressed or to be enhanced in comparison with that of matched wavelength in mismatched case I or II. The width narrowing and the magnitude suppression or enhancement can be demonstrated by considering enhanced contribution of slow atoms induced by atom-wall collision and transient effect of atom-light interaction in a micrometric thin vapour.
We experimentally investigate the interplay between two coexisting six-wave mixing (SWM) signals and the interference between coexisting four-wave mixing (FWM) and SWM signals in a five-level atomic system of 85 Rb. When two electromagnetically induced transparency windows gradually overlap in frequency, the competition between these two SWM signals arises. Moreover, we report the experimental result which shows that the temporal interference with femtosecond time scales between FWM and SWM signals.
We investigate the interplay between six-wave mixing (SWM) and four-wave mixing (FWM) resulting from atomic coherence and polarization beat in a four-level atomic system. The dressed FWM evolution and competition pathways can be controlled by the coupling field to exhibit two FWM and SWM turning points, FWM+SWM, and FWM+FWM interference regions. Quantum interference between two FWM or one FWM and one SWM channels leads to nonlinear signal enhancement and suppression under different conditions. The fifth-order nonlinear response can be obtained by the phase control of the polarization beat between the FWM and SWM signals.
We theoretically examine thickness and wavelength dependence line-shape of four-wave-mixing (FWM) spectroscopy in micrometric thin atomic vapors whose thickness LLL is assumed to be 10,30,50,80 and 100 μ\muμm respectively. It is found that a narrow centre (Dicke-narrowing) persists for all cases, while wings are broadened as the thickness of the vapor increases or the pump wavelength decreases comparing to the probe wavelength. This type of spectrum is due to the modified velocity distribution and polarization interference from different ensemble of atoms in a confined situation.