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Journal de Physique II

Magneto-rotation and magnetic circular dichroism of cesium atoms near a dielectric surface

Antoine Weis, Vladimir A. Sautenkov, Theodor W. Hänsch

Published Mar 1, 1993• 12 citations
Publisher

Abstract

The magneto-optical properties of cesium vapor near a glass surface have been studied by using selective reflection. We have observed sub-Doppler structures in the magneto-rotation and magnetic circular dichroism spectra. The spectral narrowing can be explained by the transient polarization behavior of cesium atoms due to wall collisions. A simple model, which takes atom-wall collisions and the mixing of hyperfine levels by the magnetic field into account, gives a good qualitative description of the observed spectra. Small discrepancies are likely to be due to long-range atom-surface interactions.

DOI
10.1051/jp2:1993128

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The magneto-optical properties of cesium vapor near a glass surface have been studied by using selective reflection. We have observed sub-Doppler structures in the magneto-rotation and magnetic circular dichroism spectra. The spectral narrowing can be explained by the transient polarization behavior of cesium atoms due to wall collisions. A simple model, which takes atom-wall collisions and the mixing of hyperfine levels by the magnetic field into account, gives a good qualitative description of the observed spectra. Small discrepancies are likely to be due to long-range atom-surface interactions.
We report our study of the magneto-optical effect in a strictly linear regime on spin-polarized cold cesium atoms. Due to the low intensity and the short illumination period of the probe beam, less than 7.5% of the sample atoms change their states by absorbing probe photons. We produce a medium of atoms at rest in either the 6S1∕2,F=3,mF=06{S}_{1∕2},F=3,{m}_{F}=06S1∕2​,F=3,mF​=0 or 6S1∕2,F=3,mF=36{S}_{1∕2},F=3,{m}_{F}=36S1∕2​,F=3,mF​=3 state by optically pumping atoms trapped in a magneto-optical trap. We use the D1D1D1 resonance with large lower and upper state hyperfine splittings as a probe transition to avoid hyperfine mixing from the Zeeman interaction. Under this idealized situation we measure the Stokes parameters in order to find the polarization rotation and circular dichroism experienced by the probe light. We find that there are qualitative differences between the results for the mF=0{m}_{F}=0mF​=0 and mF=3{m}_{F}=3mF​=3 cases. While dispersion and consequent Faraday rotation play a dominant role when the atoms are in the mF=0{m}_{F}=0mF​=0 state, it is dissipation and circular dichroism that are important when they are in the mF=3{m}_{F}=3mF​=3 state. Similarly, while the size of the Faraday rotation and the circular dichroism for the mF=0{m}_{F}=0mF​=0 case scales linearly with the applied magnetic field, for the mF=3{m}_{F}=3mF​=3 case it is the shift of the probe polarization change versus frequency that is linearly proportional to the magnetic field strength.
Understanding the processes underlying the optical excitation of atomic vapor in the vicinity of solid surfaces is of interest both from physical and technical points of view. Selective reflection spectra of laser light from an interface of a transparent dielectric material and resonant vapor are known to be Doppler-free and to provide important spectroscopic information about the atom-wall interaction. On the other hand, atomic vapors have such a large and fast nonlinear response on or near resonances that they are capable of processing signals and images with milliwatt lasers at a time scale of submicroseconds. In the present paper we investigate linear and nonlinear optical properties of a thin film of atomic vapor confined between two solid surfaces. Assuming two-level atoms, we solve the Maxwell- Bloch equations for light reflection from resonant atoms. The interaction between the resonant atoms and the wall is accounted for through the boundary conditions for all elements of density matrix. The transient polarization is shown to make an important contribution not only to the field structure in the vicinity of the wall but also to the interference pattern of the reflected field. It is found that the spectrum of reflection depends remarkably on the film thickness. Strong enhancement of signal is also found from this study and possible devices for the detection are discussed.
Large Faraday rotations can be generated by circular birefringence of atomic samples in an axial magnetic field in the vicinity of atomic resonance lines. More generally, magneto-optical effects in atomic samples include circular dichroism in addition to birefringence, resulting in a modification of the ellipticity as well as the polarization alignment. Usually such effects are investigated for homogeneous linear polarizations, but the mechanisms apply also to polarization structures such as vector vortices. We investigate the effect of optical activity of a rubidium vapor in the hyperfine Paschen–Back regime along the D2 line, for the example of azimuthally polarized input light. We show that for low atomic densities, circular birefringence dominates over dichroism, and azimuthal polarization is rotated toward radial polarization. The rotation angle increases with increasing optical densities. At high vapor temperatures, dichroism becomes more and more relevant, leading to intricate variations of both alignment and ellipticity. Our results shine new light on the interplay between different magneto-optic effects at strong magnetic fields. Their highly sensitive response to detuning may find applications in spectroscopy and quantum sensing.
We have measured magneto-optical signals obtained by exciting the D1{D}_{1}D1​ line of cesium atoms confined to an extremely thin cell (ETC), whose walls are separated by less than $1\ensuremath{\mu}\text{m}$, and developed an improved theoretical model to describe these signals with experimental precision. The theoretical model was based on the optical Bloch equations and included all neighboring hyperfine transitions, the mixing of the magnetic sublevels in an external magnetic field, and the Doppler effect, as in previous studies. However, in order to model the extreme conditions in the ETC more realistically, the model was extended to include a unified treatment of transit relaxation and wall collisions with relaxation rates that were obtained directly from the thermal velocities of the atoms and the length scales involved. Furthermore, the interactions of the atoms with different regions of the laser beam were modeled separately to account for the varying laser beam intensity over the beam profile as well as saturation effects that become important near the center of the beam at the relatively high laser intensities used during the experiments in order to obtain measurable signals. The model described the experimentally measured signals for laser intensities for magnetic fields up to 55 G and laser intensities up to 1W/cm21{\text{W/cm}}^{2}1W/cm2 with excellent agreement.
We report an observation of \ensuremath{\Delta}m=2 ground-state coherences in selective-reflection spectra at a glass--metal-vapor interface. The coherence was created by a linearly polarized laser beam tuned to a sub-Doppler resonance in the selective-reflection spectrum of the cesium D2{\mathit{D}}_{2}D2​ line and detected through the magnetorotation of the plane of polarization of the reflected beam. The coherence effect appears as a dispersive shaped resonance of subnatural width. The dependence of the width on the intensity of the optical field shows a saturation behavior. For vanishing light intensity and cesium vapor pressure the linewidth is limited by transverse time-of-flight broadening, whereas its pressure dependence indicates an additional contribution from the finite longitudinal interaction time.