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Journal of Russian Laser Research

Calculation of faraday rotation in an atomic gas

А. А. Папченко, Evgenii A. Yukov

Published Nov 1, 1994• 3 citations
Publisher
DOI
10.1007/bf02581085

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When we rotate matter the nuclei follow the macroscopic motion. One may ask whether the atomic electrons also follow the rotation microscopically. If they do, a mechanical Faraday effect arises. We discuss the connection between the mechanical Faraday effect and the usual (i.e., magnetic) Faraday effect. As material medium we consider resonant atoms immersed in a high‐density buffer gas. The electronic wave functions of the resonant atoms are predicted to be rotationally coupled to the buffer gas as soon as nonimpact broadening becomes appreciable at line center. Preliminary experimental results for the case Rb+Xe indicate that this occurs for Xe pressures of a few atmospheres.
When a gas of ultracold atoms is suddenly illuminated by light that is nearly resonant with an atomic transition, the atoms cannot respond instantaneously. This noninstantaneous response means the gas is initially more transparent to the applied light than in steady state. The timescale associated with the development of light absorption is set by the atomic excited-state lifetime. Similarly, the index of refraction in the gas also requires time to reach a steady-state value, but the development of the associated phase response is expected to be slower than absorption effects. Faraday rotation is one manifestation of differing indices of refraction for orthogonal circular light polarization components. We have performed experiments measuring the time-dependent development of polarization rotation in an ultracold gas subjected to a magnetic field. Our measurements match theoretical predictions based on solving optical Bloch equations. We are able to identify how parameters such as steady-state optical thickness and applied magnetic field strength influence the development of Faraday rotation.
We compare the Faraday spectrum with the dispersion spectrum near the D2{\mathit{D}}_{2}D2​ line of Rb atoms immersed in a high density Xe buffer gas. We observe deviations from the standard Becquerel relation, which relates the Faraday effect of an atomic gas to its dispersion. The deviations are due to coupling of the Rb valence electron to the Xe environment. The Rb D2{\mathit{D}}_{2}D2​ transition dipole moment becomes rotationally locked to the instantaneous collision axes at Xe densities of \ensuremath{\sim}1020{10}^{20}1020 ${\mathrm{cm}}^{\mathrm{\ensuremath{-}}3}$.