A scaling law for light scattering from dense and cold atomic ensembles

Abstract

We calculate the differential cross section of polarized light scattering from a cold and dense atomic ensemble. The regularities in the transformation of the cross section when increasing the size of the atomic ensemble are analyzed numerically. We show that for typical experimental conditions, an approximate scaling law can be obtained. Very good agreement is found in a comparison with experimental data on the size dependence of a dense and cold cloud of 87$Rb atoms.

Submitted to Journal of Modern Optics, Special issue on the Proceedings of the Colloquium on the Physics of Quantum Electronics

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• Interplay between radiation pressure force and scattered light intensity in the cooperative scattering by cold atoms
• Incomplete spontaneous decay in a waveguide caused by polarization selection
• Comparison of three approaches to light scattering by dilute cold atomic ensembles
• Optical-depth scaling of light scattering from a dense and cold atomic ${}^{87}$Rb gas
• Many-body cooperative effects in an ensemble of point-like impurity centers near a charged conductive surface
• Light propagation in a random three-dimensional ensemble of point scatterers in a waveguide: size-dependent switching between diffuse radiation transfer and Anderson localization of light
• Cooperative spontaneous decay of local excitation in a dense and disordered ensemble of point-like impurity atoms near a charged conductive surface