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Conference on Lasers and Electro-Optics

Competition between quantum beatings at 608 cm-1 and 70 cm-1 in Rb observed by Parametric Four-Wave Mixing

Changjun Zhu, Zhongling Lu, Andrey A. Senin, J.R. Allen, Amy Lynn Oldenburg, Ju Gao, J. Gary Eden

Published Jan 1, 2004• 0 citations
Publisher

Abstract

The competition between quantum beatings at 608 cm−1 and 70 cm−1 in Rb is detected and controlled by using Parametric Four-Wave Mixing. The Rb number density, laser intensity and the laser polarization control the competition.
DOI
10.1364/iqec.2004.imh3

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Axially phase-matched parametric six-wave mixing (PSWM) has been observed in Rb vapor by two-photon excitation of the atom $(5s\ensuremath{\rightarrow}\ensuremath{\rightarrow}7s,5d)$ with $\ensuremath{\sim}150\phantom{\rule{0.3em}{0ex}}\mathrm{fs}$ pulses, centered at $\ensuremath{\lambda}\ensuremath{\sim}769\phantom{\rule{0.3em}{0ex}}\mathrm{nm}$ and generated by a $\mathrm{Ti}:{\mathrm{Al}}_{2}{\mathrm{O}}_{3}$ laser system. For a peak laser pulse intensity of $30\phantom{\rule{0.3em}{0ex}}\mathrm{GW}\phantom{\rule{0.2em}{0ex}}{\mathrm{cm}}^{\ensuremath{-}2}$, PSWM is observed for Rb number densities $([\mathrm{Rb}])>2.5\ifmmode\times\else\texttimes\fi{}{10}^{15}\phantom{\rule{0.3em}{0ex}}{\mathrm{cm}}^{\ensuremath{-}3}$ whereas, for $[\mathrm{Rb}]=2.2\ifmmode\times\else\texttimes\fi{}{10}^{16}\phantom{\rule{0.3em}{0ex}}{\mathrm{cm}}^{\ensuremath{-}3}$, the PSWM process is detectable for pump intensities above $\ensuremath{\sim}3\phantom{\rule{0.3em}{0ex}}\mathrm{GW}\phantom{\rule{0.2em}{0ex}}{\mathrm{cm}}^{\ensuremath{-}2}$. Upconversion of the $1.367\phantom{\rule{0.3em}{0ex}}\mathrm{\ensuremath{\mu}}\mathrm{m}$ and $1.323\phantom{\rule{0.3em}{0ex}}\mathrm{\ensuremath{\mu}}\mathrm{m}$ signal waves into the visible $(\ensuremath{\lambda}\ensuremath{\sim}494\phantom{\rule{0.3em}{0ex}}\mathrm{nm})$ has been accomplished by sum frequency generation in ${\mathrm{LiIO}}_{3}$, and quantum beating in Rb at $18.3\phantom{\rule{0.3em}{0ex}}\mathrm{THz}$ $(\ensuremath{\sim}608\phantom{\rule{0.3em}{0ex}}{\mathrm{cm}}^{\ensuremath{-}1})$ has been observed by monitoring the upconverted signal wave intensity produced in pump-probe experiments. These results broaden the scope of the wave packet detection scheme reported by Tran et al. [Opt. Lett. 23, 70 (1998)] in that a variety of coherent nonlinear optical processes $({\ensuremath{\chi}}^{(3)},{\ensuremath{\chi}}^{(5)},\dots{})$ appear to be suitable for observing the amplitude and phase of atomic (or molecular) wave packets.

Physical Review A•May 8, 2007•16 citations
Two coupled parametric four-wave-mixing processes in Rb atoms are studied using perturbation theory, which reveals clear evidence of the appearance of quantum beat at 608 cm −1 , corresponding to the energy difference of the 7 s −5 d states of Rb atoms, in the parametric four-wave-mixing signals. A pump–probe technique is utilized to observe the quantum beat. Time-varying characteristics of the quantum beat are investigated using time-dependent Fourier transform. The results show that the time-varying characteristics of the quantum beat not only offers a sensitive detecting method for observing the decay of atomic wave packets, but also provides a potential tool for monitoring the dissociation of molecules.
Axially phase-matched parametric six-wave mixing was achieved in Rb and the parametric six-wave mixing signals in the infrared range were detected.Tunable signals in the visible range were produced by sum-frequency mixing of the pump laser and the parametric six-wave mixing signals in the infrared range.And,quantum beating at a frequency of 608 cm-1 was observed from the sum-frequency signal,indicating that the coherent properties of atoms and molecules can be studied by means of quantum beating recovered from parametric six-wave mixing signals.
Axially phase-matched parametric six-wave mixing (PSWM) has been observed in Rb vapor by two-photon excitation of the atom $(5s\ensuremath{\rightarrow}\ensuremath{\rightarrow}7s,5d)$ with $\ensuremath{\sim}150\phantom{\rule{0.3em}{0ex}}\mathrm{fs}$ pulses, centered at $\ensuremath{\lambda}\ensuremath{\sim}769\phantom{\rule{0.3em}{0ex}}\mathrm{nm}$ and generated by a Ti:Al2O3\mathrm{Ti}:{\mathrm{Al}}_{2}{\mathrm{O}}_{3}Ti:Al2​O3​ laser system. For a peak laser pulse intensity of $30\phantom{\rule{0.3em}{0ex}}\mathrm{GW}\phantom{\rule{0.2em}{0ex}}{\mathrm{cm}}^{\ensuremath{-}2}$, PSWM is observed for Rb number densities $([\mathrm{Rb}])>2.5\ifmmode\times\else\texttimes\fi{}{10}^{15}\phantom{\rule{0.3em}{0ex}}{\mathrm{cm}}^{\ensuremath{-}3}$ whereas, for $[\mathrm{Rb}]=2.2\ifmmode\times\else\texttimes\fi{}{10}^{16}\phantom{\rule{0.3em}{0ex}}{\mathrm{cm}}^{\ensuremath{-}3}$, the PSWM process is detectable for pump intensities above $\ensuremath{\sim}3\phantom{\rule{0.3em}{0ex}}\mathrm{GW}\phantom{\rule{0.2em}{0ex}}{\mathrm{cm}}^{\ensuremath{-}2}$. Upconversion of the $1.367\phantom{\rule{0.3em}{0ex}}\mathrm{\ensuremath{\mu}}\mathrm{m}$ and $1.323\phantom{\rule{0.3em}{0ex}}\mathrm{\ensuremath{\mu}}\mathrm{m}$ signal waves into the visible $(\ensuremath{\lambda}\ensuremath{\sim}494\phantom{\rule{0.3em}{0ex}}\mathrm{nm})$ has been accomplished by sum frequency generation in LiIO3{\mathrm{LiIO}}_{3}LiIO3​, and quantum beating in Rb at 18.3THz18.3\phantom{\rule{0.3em}{0ex}}\mathrm{THz}18.3THz $(\ensuremath{\sim}608\phantom{\rule{0.3em}{0ex}}{\mathrm{cm}}^{\ensuremath{-}1})$ has been observed by monitoring the upconverted signal wave intensity produced in pump-probe experiments. These results broaden the scope of the wave packet detection scheme reported by Tran et al. [Opt. Lett. 23, 70 (1998)] in that a variety of coherent nonlinear optical processes $({\ensuremath{\chi}}^{(3)},{\ensuremath{\chi}}^{(5)},\dots{})$ appear to be suitable for observing the amplitude and phase of atomic (or molecular) wave packets.