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Proceedings of SPIE, the International Society for Optical Engineering/Proceedings of SPIE

Atom optics and interferometry with atomic mirrors

Markus Arndt, Pierre Desbiolles, David Guéry-Odelin, Andrew M. Steane, Pascal Szriftgiser, Jean Dalibard

Published May 1, 1997• 0 citations
Publisher

Abstract

We have designed a gravitational cavity for ultra-cold atoms using an atomic mirror made from an evanescent laser wave. By a temporal variation of the evanescent wave intensity, we have realized various atom optics components such as temporal slits and phase modulators. We have also designed an atom interferometer using this cavity which proves that the coherence of the de Broglie waves can be preserved during the bounce of the atoms on the mirror.

DOI
10.1117/12.273755

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We have designed a gravitational cavity for ultra-cold atoms using an atomic mirror made from an evanescent laser wave. By a temporal variation of the evanescent wave intensity, we have realized various atom optics components such as temporal slits and phase modulators. We have also designed an atom interferometer using this cavity which proves that the coherence of the de Broglie waves can be preserved during the bounce of the atoms on the mirror.
We have designed a gravitational cavity for ultra-cold atoms using an atomic mirror made from an evanescent laser wave.By a temporal variation of the evanescent wave intensity, we have realized various atom optics components such as temporal slits and phase modulators.We have also designed an atom interferometer using this cavity which proves that the coherence of the de Broglie waves can be preserved during the bounce of the atoms on the mirror.Finally we show that an efficient cooling of the atoms inside the cavity can be achieved using a Sisyphus process during the bounce.
A novel atomic beam splitter, using reflection of atoms off an evanescent light wave, is investigated theoretically. The intensity or frequency of the light is modulated in order to create sidebands on the reflected de Broglie wave. The weights and phases of the various sidebands are calculated using three different approaches: the Born approximation, a semiclassical path integral approach, and a numerical solution of the time-dependent Schrödinger equation. We show how this modulated mirror could be used to build practical atomic interferometers.
We have developed a novel interferometer for atom de Broglie waves, where amplitude division and recombination is achieved by diffraction at standing light waves operating as phase gratings. Our new atom interferometer is the exact mirror image of interferometers for light, with the roles of atoms and photons interchanged, and it directly demonstrates coherence of the diffraction of atomic waves at standing light waves. Easy manipulation of the phase, intensity, and polarization of the standing light wave permits novel studies of atomic coherence properties.
A novel atomic beam splitter, using reflection of atoms off an evanescent light wave, is investigated theoretically. The intensity or frequency of the light is modulated in order to create sidebands on the reflected de Broglie wave. The weights and phases of the various sidebands are calculated using three different approaches: the Born approximation, a semiclassical path integral approach, and a numerical solution of the time-dependent Schrödinger equation. We show how this modulated mirror could be used to build practical atomic interferometers.
Summary form only given, as follows. Atomic cavities provide a convenient way to store atoms without perturbing them too much. We have recently built such a cavity for cesium atoms. A curved mirror was made for an evanescent wave, formed by internal reflection of a quasiresonant laser beam at a curved glass surface. A cold cloud of cesium atoms was dropped onto the mirror (Fig. 1a) and observed to rebound up to 10 times (Fig. 1b). The mirror size and reflectivity were studied, and reasonable agreement with a simple theory was obtained. With 800 mW of laser power and a mirror of 1 mm diameter, we observed up to 73% of the atoms returning after each bounce. We will present these experimental results, and we will also discuss some prospects to investigate the quantum nature of the atomic motion in such a cavity.
Recent progress in atom optics has culminated in several demonstrations of atom interferometers. These rely on the passage of atoms through mechanical or light gratings and may be roughly characterized as Mach–Zehnder interferometers. In this communication, we propose a scheme to realize a Fabry–Perot interferometer for atoms. The mirrors are realized by the field gradient resulting from the spatial mode structure in optical or microwave cavities. When ultra- cold atoms impinge on such cavities, they experience quantum mechanical reflection and transmission that result in the appearance of longitudinal modes for the atomic wave function. We present a model of such a Fabry–Perot interferometer for two-level atoms. We discuss the intra-cavity matter–wave mode structure as well as the transmittivity and reflectivity characteristics of the interferometer. The potential generation of macroscopic quantum waves using such a device, as well as its potential as a sensitive photon detector, will be addressed.