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Physical Review A

Modulation transfer in an electromagnetically induced transparency system

Andy W. Brown, Min Xiao

Published Nov 30, 2004• 9 citations
Publisher

Abstract

Near the condition of electromagnetically induced transparency in a three-level system, the absorption experienced by the weak probe laser beam interacting with one transition is very sensitive to the frequency detuning of the strong-coupling laser beam coupled to another transition. When the frequency detuning of the coupling laser is modulated at different frequencies, the resulting change in probe absorption as a function of that modulation frequency can be described by a transfer function. The effects on the transfer function from various experimental parameters are calculated numerically. Experimental measurements are shown to be in good agreement with the predicted behavior.

DOI
10.1103/physreva.70.053830

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Near the condition of electromagnetically induced transparency in a three-level system, the absorption experienced by the weak probe laser beam interacting with one transition is very sensitive to the frequency detuning of the strong-coupling laser beam coupled to another transition. When the frequency detuning of the coupling laser is modulated at different frequencies, the resulting change in probe absorption as a function of that modulation frequency can be described by a transfer function. The effects on the transfer function from various experimental parameters are calculated numerically. Experimental measurements are shown to be in good agreement with the predicted behavior.
Electromagnetically induced transparency (EIT) in an inhomogenously broadened medium consisting of Λ-type three-level atoms has been analyzed. It is shown that the Λ system can induce a transparency of the medium when the probe laser and the coupling laser have the same frequency detunings (including zero). Across the EIT window, the radial variation of the strong coupling laser radiation may lead to electromagnetically induced focusing or defocusing of the weak probe laser at separate probe frequency detuning points.
We study the response of an inhomogeneously broadened atomic three-level ladder system to a strong probe beam under conditions in which electromagnetically induced transparency would be induced on a weak probe beam. Theoretical analysis and experimental data show that saturation effects associated with the strong probe can substantially alter the behavior of the system and can result in enhanced probe absorption under exactly the same circumstances in which a weak probe would experience enhanced transparency. Strong probe effects are also shown to lead to a breakdown of the correspondence between population inversion and gain. A power-series solution of the density-matrix equations describing the ladder system provides a physical picture for strong probe effects in terms of interfering multiphoton transition pathways.
Rydberg atoms, with large principal quantum number n, have been widely investigated in recent years due to their peculiar properties, such as big sizes, long lifetimes and strong interactions with fields and other Rydberg atoms. Rydberg atoms are very sensitive to external fields due to their large polarizabilities scaling as n7.These make Rydberg atoms an ideal candidate for the quantum information, the many-body interaction, etc.In this work, we investigate the Rydberg atoms using electromagneticlly induced transparency (EIT) in a ladder three-level system. The EIT is a quantum interference effect between two excitation path-ways driven by two laser fields. The main idea is performed in a room temperature cesium vapor cell, where the probe laser frequency is modulated. The ground state (6P1/2), excited state (6P3/2), and Rydberg state (nS1/2) constitute a Rydberg three-level system, in which the probe laser is fixed to the 6S1/2 (F = 4)6P3/2 (F = 5) transition by saturated absorption spectrum technique, whereas the coupling laser is scanned across the 6P3/249S1/2 transition. We detect the demodulated EIT signal with the lock-in amplifier (SR830). The modulated EIT signal shows a two-peak structure. The measured spacing between two peaks increases with the frequency detuning, caused by the modulation amplitude, and half the spacing between the peak-to-peak is nearly 1.67 times the modulation amplitude of the probe laser; the measured result shows that the splitting is independent of the modulation frequency. The experimental results are in agreement with the theoretical calculations. The results in our work can be used for real-time monitoring of the laser-line profiles and the fluctuation of laser frequency.
A theoretical calculation of the polarization changes of a weak probe laser beam as it traverses a strongly pumped gaseous atomic medium is presented. The medium is chosen to be a three-level cascade (J = 0–J = 1–J = 0) system. The polarization of the probe changes from linear to elliptical owing to the asymmetrical population transfer induced by a strong, circularly polarized pumping laser beam. We study this phenomenon as a function of laser intensities, laser detunings, and the relaxation parameters of the medium. We compare the predictions of the theory with results obtained from experimental studies of the neon 1s4(J = 1)–2p4(J = 2)–3s2(J = 1) system.