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arXiv · 1305.4678

Polytropic equilibrium and normal modes in cold atomic traps

H. Terças·J. T. Mendonça
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Abstract

The compressibility limit of a cold gas confined in a magneto-optical trap due to multiple scattering of light is a long-standing problem. This scattering mechanism induces long-range interactions in the system, which is responsible for the occurrence of plasma-like phenomena. In the present paper, we investigate the importance of the long-range character of the mediated atom-atom interaction in the equilibrium and dynamical features of a magneto-optical trap. Making use of a hydrodynamical formulation, we derive a generalized Lane-Emden equation modeling the polytropic equilibirum of a magneto-optical trap, allowing us to describe the cross-over between the two limiting cases: temperature dominated and multiple-scattering dominated traps. The normal collective modes of the system are also computed.

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H. Terças, J. T. Mendonça. 2013-05-20. Polytropic equilibrium and normal modes in cold atomic traps. https://doi.org/10.1103/physreva.88.023412

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