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arXiv · 0904.0150

Hidden symmetry and nonlinear paraxial atom optics

François Impens
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Abstract

A hidden symmetry of the nonlinear wave equation is exploited to analyse the propagation of paraxial and uniform atom-laser beams in time-independent, quadratic and cylindrical potentials varying smoothly along the propagation axis. The quality factor and the paraxial ABCD formalism are generalized to account exactly for mean-field interaction effects in such beams. Using an approach based on moments, these theoretical tools provide a very simple and yet exact picture of the interacting beam profile evolution. Guided atom laser experiments are discussed. This treatment addresses simultaneously optical and atomic beams in a unified manner, exploiting the formal analogy between nonlinear optics and nonlinear paraxial atom optics.

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François Impens. 2009-04-01. Hidden symmetry and nonlinear paraxial atom optics. https://doi.org/10.1103/physreva.80.063617

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