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Proceedings of SPIE, the International Society for Optical Engineering/Proceedings of SPIE

Power dependence of the coherent population trapping resonances at different registration

S. Gateva, Emilia A. Alipieva, Elena T. Taskova

Published Apr 22, 2005• 1 citation
Publisher

Abstract

The investigation of the coherent population trapping (CPT) resonance on the degenerate two-level system of the (Fg=2→Fe=1) transition of the 87Rb D1 line by means of Hanle effect configuration in an uncoated vacuum cell (Opt. Lett. 28, 1817, 2003), has shown that the measured in fluorescence resonance has a complex shape: a very narrow (about 1mG) resonance superimposed on a broader one (about few tens mG). In this work the narrow and wide CPT resonances are registered in fluorescence, transmitted light and Faraday rotation. The dependence of the CPT resonances structures width and amplitude are measured at different laser power densities when the registration was in fluorescence and transmission. While the narrow resonance width doesn't change in the limits of the accuracy of our measurements, the wide resonance width dependence is complex and it is different in fluorescence and transmission. The origin of the observed dependencies and the differences between CPT signals observed in fluorescence and transmission are discussed.

DOI
10.1117/12.618442

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The investigation of the coherent population trapping (CPT) resonance on the degenerate two-level system of the (Fg=2→Fe=1) transition of the 87Rb D1 line by means of Hanle effect configuration in an uncoated vacuum cell (Opt. Lett. 28, 1817, 2003), has shown that the measured in fluorescence resonance has a complex shape: a very narrow (about 1mG) resonance superimposed on a broader one (about few tens mG). In this work the narrow and wide CPT resonances are registered in fluorescence, transmitted light and Faraday rotation. The dependence of the CPT resonances structures width and amplitude are measured at different laser power densities when the registration was in fluorescence and transmission. While the narrow resonance width doesn't change in the limits of the accuracy of our measurements, the wide resonance width dependence is complex and it is different in fluorescence and transmission. The origin of the observed dependencies and the differences between CPT signals observed in fluorescence and transmission are discussed.
The investigation of the coherent-population-trapping (CPT) resonance on the degenerate two-level system of the $({F}_{g}=2\ensuremath{\rightarrow}{F}_{e}=1)$ transition of the 87RbD1^{87}\mathrm{Rb}\phantom{\rule{0.3em}{0ex}}{D}_{1}87RbD1​ line by means of a Hanle effect configuration in an uncoated vacuum cell [Opt. Lett. 28, 1817 (2003)] has shown that the measured in fluorescence resonance has a complex shape---a very narrow (about 1 mG) structure superimposed on a broader one (about few tens of mG). In this work, the dependence of the width and amplitude of the CPT resonance structures are measured at different laser power densities when the registration is in fluorescence and transmission. While the narrow resonance width does not change within the limits of the accuracy of our measurements, the wide resonance width dependence is complex and is different in fluorescence and transmission. The origins of the observed resonance width narrowing of the CPT resonance structures registered in fluorescence and transmission are discussed.
Coherent population trapping (CPT) resonances in the degenerate two-level system of the Fg = 2 → Fe = 1) transition of the 87Rb D1 line were investigated in an uncoated vacuum cell by means of Hanle effect configuration. CPT signals with complex shape (narrow resonance approximately 2 mG superimposed on the wide one approximately 150 mG) were observed. The influence of weak transverse magnetic fields (0-1.2 G) on the amplitude and width of the two components was measured. The observed narrow resonances are interesting for application in high resolution spectroscopy and magnetometry.
Coherent population trapping (CPT) resonances on the degenerate two-level system of the (Fg=2→Fe=1) transition of the 87Rb D1 line were investigated in an uncoated vacuum cell by means of level-crossing type experiments-sweeping a magnetic field around zero value and using a single laser beam. The two-photon resonance manifests itself as fluorescence canceling when the system of levels is degenerate (at zero point of magnetic field). The influence of weak transverse magnetic fields on the amplitude and width of the resonance was investigated. The CPT resonances were observed with linear, circular and elliptical polarized laser light. Transverse magnetic field widens the resonances obtained by linear and circular polarization but splits the resonance created by slightly elliptically polarized laser light. The dependence of this splitting on the elliptical ratio and experimental geometry were investigated. Due to its narrow width and sensitivity to low magnetic fields (< 1 G) this resonance is very promising for small magnetic field measurement.
This work is concerned with the line profiles, amplitudes and widths of the coherent population trapping (CPT) resonances due to low frequency Zeeman coherences, in the Hanle configuration, applied to 87Rb atoms in the vacuum cell. Detailed calculations of the fluorescence were done with two different transverse intensity profiles of the excitation laser tuned to the open Fg = 2 → Fe = 1 transition. Comparison with experiment produces good agreement for the laser intensity dependence of CPT line-widths in the wide range of the laser intensity, when the laser transverse beam profile is Gaussian. Results for both step-like and Gaussian profile of the laser beam show asymptotic 1/√d dependence (d is the laser beam diameter) of CPT line-widths, for large range of the laser intensity.
The shape of the coherent-population-trapping (CPT) resonances was investigated theoretically and experimentally at different laser powers. The CPT resonances were observed in fluorescence on the degenerate two-level system of the $({F}_{\ensuremath{\varphi}}=2\ensuremath{\rightarrow}{F}_{f}=1)$ transition of the 87Rb^{87}\mathrm{Rb}87Rb D1{D}_{1}D1​ line by means of a Hanle effect configuration in an uncoated vacuum cell. Numerical simulations based on the density matrix formalism, which take into account the high-rank polarization moment (HRPMs) influence and the velocity distribution of the atoms, were used to calculate the shape of the nonlinear magnetic resonances. The comparison of the theoretical and experimental shapes of the CPT resonances demonstrated that the HRPMs influence the shape at all laser excitation powers, and this influence can be used to explain some peculiarities at the center of the CPT resonance shape.
An investigation is reported of coherent resonance in the degenerate two-level system of the (Fg = 2 --> Fe = 1) transition of the 87Rb D1 line by means of a Hanle effect configuration. In a coherent population trapping experiment, a very narrow (approximately 1-kHz) resonance superimposed upon a broader resonance (approximately 100 kHz) was observed. The dependence of the width and the amplitude of the coherent resonance on the laser power density, on additional constant magnetic fields, on the laser frequency position along the fluorescence profile, and on Rb cells with different dimensions was investigated.