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Contribution à la théorie des interféromètres atomiques

Abstract : This dissertation relates to the study of atom interferometers. It consists of theoretical developments and more practical parts (modeling). As regards modeling, this work explains how to obtain a general analytical expression of the fringes signal, which particularly accounts for the simultaneous action of all the inertial and gravitational fields whose representative potential is at most quadratic in position and momentum (rotations, accelerations, gradients of acceleration, gravitational waves...), as well as the dispersive structuring due to atomic beam splitters in the presence of such external fields (velocity selection, anomalous dispersion and Borrmann effect). From a theoretical point of view, this thesis develops new tools of atom optics. They deal with the propagation of matter waves in unspecified inertial and gravitational fields (extension of the ABCD formalism using first integral operators), the study of laser beam splitters in the presence of some of these fields (generalized ttt scheme, strong fields ttt modelings, generalized Borrmann effect...), as well as the highlight of symplectic invariants which are very useful for the interpretation and the simplification of the phase shift expression (“homologous paths” and “four end points theorem”).
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https://tel.archives-ouvertes.fr/tel-00007967
Contributor : Charles Antoine <>
Submitted on : Thursday, January 13, 2005 - 10:50:52 PM
Last modification on : Thursday, December 10, 2020 - 12:36:54 PM
Long-term archiving on: : Friday, November 25, 2016 - 8:55:04 AM

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  • HAL Id : tel-00007967, version 2

Citation

Charles Antoine. Contribution à la théorie des interféromètres atomiques. Physique Atomique [physics.atom-ph]. Université Pierre et Marie Curie - Paris VI, 2004. Français. ⟨tel-00007967v2⟩

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