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Physical Review A

Role of transverse magnetic fields in electromagnetically induced absorption for elliptically polarized light

Jelena Dimitrijević, Aleksandar J. Krmpot, Marina M. Mijailović, D. Arsenović, Bratimir M. Panic, Z. D. Grujić, B. M. Jelenkovic

Published Jan 16, 2008• 28 citations
Publisher

Abstract

Using the closed ${F}_{g}\ensuremath{\rightarrow}{F}_{e}={F}_{g}+1$ $D2$ line transition of Rb atoms, we report experimental and numerical evidence of influence of additional transverse magnetic field when examining electromagnetically induced absorption (EIA) in the Hanle configuration. The effect was analyzed with two directions of additional magnetic field and in the cases of excitation with linear, elliptical, and circular laser light polarization. The transverse magnetic field brings substantial differences in the resonance line shape, amplitude, and width. Our theoretical model includes Doppler broadening. Numerical solutions of our theoretical model are in good agreement with experimental results. This analysis points out the importance of the presence of stray magnetic fields when studying EIA.

DOI
10.1103/physreva.77.013814

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Using the closed Fg\ensuremath→Fe=Fg+1{F}_{g}\ensuremath{\rightarrow}{F}_{e}={F}_{g}+1Fg​\ensuremath→Fe​=Fg​+1 D2D2D2 line transition of Rb atoms, we report experimental and numerical evidence of influence of additional transverse magnetic field when examining electromagnetically induced absorption (EIA) in the Hanle configuration. The effect was analyzed with two directions of additional magnetic field and in the cases of excitation with linear, elliptical, and circular laser light polarization. The transverse magnetic field brings substantial differences in the resonance line shape, amplitude, and width. Our theoretical model includes Doppler broadening. Numerical solutions of our theoretical model are in good agreement with experimental results. This analysis points out the importance of the presence of stray magnetic fields when studying EIA.
Abstract The influence of the closed transition on the neighboring and open transitions of the 87 Rb D 2 line, partially resolved under Doppler broadening, is studied at different ellipticities in the Hanle configuration with longitudinal and transverse magnetic field scans. We show that a sign reversal from an electromagnetically induced transparency (EIT) resonance to an electromagnetically induced absorption (EIA) resonance occurs with an increase in ellipticity for the transition in a transverse field scan. This transformation is not observed for a longitudinal field scan. These observations are attributed to the higher amplitude of the EIA resonance for the transition in transverse field scans for elliptical polarized light. The EIA character in the Hanle transmission profile of and transitions is enhanced (weakened) when the laser beam frequency is detuned towards (away from) the transition. We show by computation that at higher ellipticities, a transformation from an EIT to an EIA resonance for the transition occurs at low frequency shifts (towards the transition) in a transverse field scan.
We have studied experimentally and theoretically Hanle EIA on the closed Fg = 3 goes to Fe = 4 D2 transition of 85Rb. Atoms were excited by the laser light with different polarization, from linear to circular. Results of the theoretical calculations of the laser transmission, based on optical Bloch equations for density matrix elements for the same atomic system, show important effects of magnetic field transverse to the laser light. We were not able to control transverse magnetic field in the experiment but the theoretical results are still applicable to our experimental data due the presence of laboratory stray magnetic field in the vicinity of the Rb cell, occurring because of imperfect magnetic shielding.
The effect of incident light field ellipticity on the electromagnetically induced absorption (EIA) and electromagnetically induced transparency (EIT) resonances has been studied experimentally and computationally in Hanle configuration with longitudinal and transverse magnetic fields. We identify the Zeeman coherences that influence the resonance profile and study the role of coherence-transfer from excited to ground state via spontaneous emission as a function of ellipticity for the ${F}_{g}=2\ensuremath{\rightarrow}{F}_{e}=3$ transition of 87Rb^{87}\mathrm{Rb}87Rb. The EIT resonance observed with the light field locked on the ${F}_{g}=1\ensuremath{\rightarrow}{F}_{e}=2$ transition of 87Rb^{87}\mathrm{Rb}87Rb is an influence of the nearby ${F}_{g}=1\ensuremath{\rightarrow}{F}_{e}=0$ closed and ${F}_{g}=1\ensuremath{\rightarrow}{F}_{e}=1$ open transitions. With increase in ellipticity the observed EIA and EIT resonances diminish in amplitude for a longitudinal magnetic field and are enhanced for a transverse magnetic field. We computationally account for these observations and discuss the factors that influence the EIA and EIT resonance amplitudes as a function of ellipticity and show that for a transverse field scan the ellipticity dependence of the EIA resonance amplitude can be accounted for without invoking the Doppler effect unlike for a longitudinal field scan. We also show that the maximum in the EIA resonance amplitude obtained for nonzero ellipticities with a longitudinal magnetic field depends on the closedness of the atomic system.
In this paper we describe experimentally and theoretically the increase in the electromagnetically induced absorption (EIA) resonance under the influence of an additional optical field. EIA was observed on the cycling transition of the rubidium D2{\text{D}}_{2}D2​ line in the Hanle configuration in the presence of the second-laser field acting on an open transition coupled with a cycling one via a common ground state. We present results obtained for different polarization orientations and propagation directions of the two laser beams. A systematic theoretical analysis based on the optical Bloch equations explains most of the experimental data. A lot of attention is also paid to a qualitative understanding of the EIA---its resonance shape, amplitude, and the response to the additional optical fields.
We have analyzed the Hanle effect on the closed ${F}_{\mathrm{g}}=\stackrel{\ensuremath{\rightarrow}}{3}{F}_{\mathrm{e}}=4$ D2{D}_{2}D2​-line transition of 85Rb.{}^{85}\mathrm{Rb}.85Rb. Exciting the rubidium atoms by circularly polarized laser light, and scanning an applied transverse magnetic field, a bright resonance Hanle signal is obtained at different values of an applied longitudinal magnetic field. We report experimental and numerical evidence of this bright resonance.