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Journal of the Optical Society of America B

Investigation of trapped rubidium atoms through frequency-modulation- induced coherent transient effects

A. Pietiläinen, M. Kujala, Erkki Ikonen

Published Dec 1, 1998• 11 citations
Publisher

Abstract

We investigated coherent transient oscillations in the transmission intensity of a frequency-modulated probe-laser beam through a sample of trapped atoms. The transients occur when the frequency of the probe-laser beam crosses a resonance of the atoms in a time of the order of the lifetime of the excited state. A theoretical description used previously to explain transient effects observed in Mössbauer spectroscopy has been developed further to adapt for the specific frequency- and amplitude-modulation characteristics of current-modulated laser diodes. The transients were recorded at various experimental parameters, and the results of the experiments were compared with results obtained from slow frequency sweeps and independent measurements of the modulation characteristics of the laser. The results show that the theory accurately explains the coherent transient phenomena.

DOI
10.1364/josab.15.002823

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We investigated coherent transient oscillations in the transmission intensity of a frequency-modulated probe-laser beam through a sample of trapped atoms. The transients occur when the frequency of the probe-laser beam crosses a resonance of the atoms in a time of the order of the lifetime of the excited state. A theoretical description used previously to explain transient effects observed in Mössbauer spectroscopy has been developed further to adapt for the specific frequency- and amplitude-modulation characteristics of current-modulated laser diodes. The transients were recorded at various experimental parameters, and the results of the experiments were compared with results obtained from slow frequency sweeps and independent measurements of the modulation characteristics of the laser. The results show that the theory accurately explains the coherent transient phenomena.
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We observed the transient oscillation in the spectra of electromagnetically induced transparency by rapidly sweeping the probe laser frequency. The spectra were measured with laser-cooled 87Rb atoms. We show that the amplitude of the transient oscillation decays exponentially at a rate of Ωc2/2Γ, where Ωc is the Rabi frequency of the coupling laser and Γ is the spontaneous decay rate of the excited state. Using the transient oscillation, we demonstrate a simple method to determine Ωc. This method is particularly useful with the low-intensity coupling laser.
Semiconductor diode lasers have been widely used in atomic physics and quantum optics. Advanced semiconductor lasers have the capability of modulation in intensity or optical frequency at the rate greater than a few GHz by modulating the driving current. This characteristics makes semiconductor laser diodes ideal light sources in the study of optical coherent transient phenomena with the time scale ranging from few milliseconds to sub-nanoseconds. In this paper, we discuss the applications of semiconductor lasers in coherent transient measurements and report our experimental results.
We experimentally investigate various processes present in the photoassociative interaction of an ultracold atomic sample with shaped femtosecond laser pulses as an detailed extension of previous work [W. Salzmann et al., Phys. Rev. Lett. 100, 233003 (2008)]. We demonstrate the photoassociation of pairs of rubidium atoms into electronically excited, bound molecular states using spectrally cut femtosecond laser pulses tuned below the rubidium D1{D}_{1}D1​ or D2{D}_{2}D2​ asymptote. Time-resolved pump-probe spectra reveal oscillations of the molecular formation rate, which are due to coherent transient dynamics in the electronic excitation. The oscillation frequency corresponds to the detuning of the spectral cut position to the asymptotic transition frequency of the rubidium D1{D}_{1}D1​ or D2{D}_{2}D2​ lines, respectively. Measurements of the molecular photoassociation signal as a function of the pulse energy reveal a nonlinear dependence and indicate a nonperturbative excitation process. Chirping the association laser pulse allowed us to change the phase of the coherent transients. Furthermore, a signature for molecules in the electronic ground state is found, which is attributed to molecule formation by femtosecond photoassociation followed by spontaneous decay. In a subsequent article [A. Merli et al., Phys. Rev. A 80, 063417 (2009)] quantum mechanical calculations are presented, which compare well with the experimental data and reveal further details about the observed coherent transient dynamics.