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Physical Review A

Electromagnetically induced transparency in cold free atoms: Test of a sum rule for nonlinear optics

F. S. Cataliotti, C. Fort, Theodor W. Hänsch, M. Inguscio, M. Prevedelli

Published Sep 1, 1997• 44 citations
Publisher

Abstract

The resonance absorption line shape from cold $(T<100$ $\ensuremath{\mu}$K) atomic cesium vapor has been investigated with a probe laser after switching off the magneto-optical trapping fields. An additional nonabsorbed laser field has been used to produce quantum interference in a three-level ladder scheme. Predicted but counterintuitive modifications of the natural absorption line shape have been directly observed including inhibition of resonance absorption. The validity of a nonlinear sum rule deduced from the causality principle has been satisfactorily tested.

DOI
10.1103/physreva.56.2221

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Nonlinear optical effects manifested by electromagnetic induced transparency in cold atoms

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This dissertation reports experimental studies of nonlinear optical effects manifested by electromagnetically induced transparency (EIT) in cold Rb atoms. The cold Rb atoms are confined in a magneto-optic trap (MOT) obtained with the standard laser cooling and trapping technique. Because of the near zero Doppler shift and a high phase density, the cold Rb sample is well suited for studies of atomic coherence and interference and related applications, and the experiments can be compared quantitatively with theoretical calculations. It is shown that with EIT induced in the multi-level Rb system by laser fields, the linear absorption is suppressed and the nonlinear susceptibility is enhanced, which enables studies of nonlinear optics in the cold atoms with slow photons and at low light intensities. Three independent experiments are described and the experimental results are presented. First, an experimental method that can produce simultaneously co-propagating slow and fast light pulses is discussed and the experimental demonstration is reported. Second, it is shown that in a three-level Rb system coupled by multi-color laser fields, the multi-channel two-photon Raman transitions can be manipulated by the relative phase and frequency of a control laser field. Third, a scheme for all-optical switching near single photon levels is developed. The scheme is based on the phase-dependent multi-photon interference in a coherently coupled four-level system. The phase dependent multi-photon interference is observed and switching of a single light pulse by a control pulse containing ∼20 photons is demonstrated. These experimental studies reveal new phenomena manifested by quantum coherence and interference in cold atoms, contribute to the advancement of fundamental quantum optics and nonlinear optics at ultra-low light intensities, and may lead to the development of new techniques to control quantum states of atoms and photons, which will be useful for applications in quantum measurements and quantum photonic devices.

•Oct 1, 2008•0 citations
The resonance absorption line shape from cold (T<100(T<100(T<100 \ensuremathμ\ensuremath{\mu}\ensuremathμK) atomic cesium vapor has been investigated with a probe laser after switching off the magneto-optical trapping fields. An additional nonabsorbed laser field has been used to produce quantum interference in a three-level ladder scheme. Predicted but counterintuitive modifications of the natural absorption line shape have been directly observed including inhibition of resonance absorption. The validity of a nonlinear sum rule deduced from the causality principle has been satisfactorily tested.
We have studied a ladder and a Λ system on cold Cesium atoms released from a magneto optical trap. Probe absorption spectra have been satisfactorily interpreted in terms of a non degenerate three level model at low pump power. At higher power a sum of non interacting three level systems is adequate to predict line positions. An experimental test for a sum rule in nonlinear optics is presented and a novel type of dark trap that relies on electromagnetically induced transparency for a velocity selective storage in the dark state is demonstrated.
We report an experimental observation of third-order nonlinear absorption by quantum interference in (87)Rb atoms cooled and confined in a magneto-optic trap. A coupling laser creates electromagnetically induced transparency (EIT) in a multilevel Rb system in which the third-order nonlinear absorption is enhanced by constructive quantum interference while the linear absorption is inhibited by destructive interference. Our experiment demonstrates the EIT system proposed by Harris and Yamamoto [Phys. Rev. Lett. 81, 3611 (1998)], which absorbs two photons but not one photon in the dressed-state picture.
We report experiemtnal results demonstrating the electromagnetically induced transparency (EIT) in trapped Cs atoms. EIT occurs at the Λ-type configuration where the re0-pumping laser simultaneously plays a role as the coupling laser in the presence of a magneto-optical trapping and weak magnetic fields. Dependences of EIT signal on both the intensity and the detuning of the coupling laser were investigated. Linear absorption spectra for cold cesium atoms in the magneto-optical trap have been observed and shown the pronounced dispersion-like structure with sub-natural linewidth of 1 MHz due to the cooling laser.
Atomic coherence and interference in an atomic medium exhibiting electromagnetically induced transparency may lead to enhancement or suppression of nonlinear susceptibilities. Absorptive photon switching has been observed by constructive quantum interference, which is based on the enhanced third-order, nonlinear absorption in a four-level system. In a different four-level system, suppression of the two-photon absorption by destructive quantum interference has been observed. Experiments were carried out on 87Rb atoms cooled and confined in a magneto-optical trap and the experimental results agree with theoretical calculations of simple four-level model systems.
Summary form only given. A coupling laser can create electromagnetically induced transparency (EIT) in an absorbing medium such that linear absorption of a weak probe laser at the line center is suppressed by quantum interference. The quantum interference may be modified by adding a pump laser coupled to a separate state, which leads to enhanced third-order nonlinearities in the atomic system. Large nonlinear probe absorption at the EIT center is controlled by the pump laser and may be used to realize absorptive photon switching as proposed by Harris and Yamamoto. We report an experimental study of enhanced third-order nonlinear absorption and absorptive photon switching in /sup 87/Rb atoms cooled and confined in a magneto-optical trap.
This dissertation reports experimental studies of nonlinear optical effects manifested by electromagnetically induced transparency (EIT) in cold Rb atoms. The cold Rb atoms are confined in a magneto-optic trap (MOT) obtained with the standard laser cooling and trapping technique. Because of the near zero Doppler shift and a high phase density, the cold Rb sample is well suited for studies of atomic coherence and interference and related applications, and the experiments can be compared quantitatively with theoretical calculations. It is shown that with EIT induced in the multi-level Rb system by laser fields, the linear absorption is suppressed and the nonlinear susceptibility is enhanced, which enables studies of nonlinear optics in the cold atoms with slow photons and at low light intensities. Three independent experiments are described and the experimental results are presented. First, an experimental method that can produce simultaneously co-propagating slow and fast light pulses is discussed and the experimental demonstration is reported. Second, it is shown that in a three-level Rb system coupled by multi-color laser fields, the multi-channel two-photon Raman transitions can be manipulated by the relative phase and frequency of a control laser field. Third, a scheme for all-optical switching near single photon levels is developed. The scheme is based on the phase-dependent multi-photon interference in a coherently coupled four-level system. The phase dependent multi-photon interference is observed and switching of a single light pulse by a control pulse containing ∼20 photons is demonstrated. These experimental studies reveal new phenomena manifested by quantum coherence and interference in cold atoms, contribute to the advancement of fundamental quantum optics and nonlinear optics at ultra-low light intensities, and may lead to the development of new techniques to control quantum states of atoms and photons, which will be useful for applications in quantum measurements and quantum photonic devices.