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Conference on Lasers and Electro-Optics

Atom “Meta-Optics”: Negative-Index Media for Matter Waves in the nm Wavelength Range

M. Hamamda, G. Dutier, M. Boustimi, Valja Bocvarski, Jules Grucker, Francisco Perales, J. Baudon, M. Ducloy

Published Jan 1, 2009• 2 citations
Publisher

Abstract

Meta-optics is extended to matter waves. “Co-moving” magnetic fields in Stern-Gerlach interferometers allows producing negative group velocity of atomic wave packets, resulting into a negative refraction of the matter wave and atom “meta-lenses”.
DOI
10.1364/iqec.2009.iwg5

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This work shows a novel class of newly introduced potentials called co-moving potentials, which can provide a simple solution to devise negative-index media for matter waves. These co-moving potentials or oscillating magnetic potentials can be made co-propagating with the atom wave by utilizing an adequate choice of spatial period and oscillation frequency.Novel applications in atom nano-lithography and interferometry and other properties of a negative-index medium for atom optics are also discussed.
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Abstract\nnumbers: 03.75.-b Matter Waves 03.75.Be Atom and Neutron Optics 37.10.Gh Atom Traps and Guides 42.25.-p Wave Optics ABSTRACT Semi-evanescent and evanescent matter-waves produced by an atom wave packet impinging a repulsive barrier can be back-refracted and reconstructed by the application of negative-index " comoving " potential pulses. One shows that those collapses and revivals generate a matter wave confined on both sides of the barrier border (" surface matter wave ") and should be observable via the retardation of atom reflection from the barrier interface. This property, joined to the possibility recently demonstrated of inducing negative refraction of atom waves, makes such potentials a matter-wave counterpart of negative-index materials or " meta materials " well-known in light optics.
In a recent paper [Phys. Rev. Lett. 102, 140403 (2009)], Baudon et al. reported that a comoving potential acting on atoms could mimic negative-index-refraction properties of left-handed photonic metamaterials. We show in this article that a better approximation is necessary in order to describe the real physical system proposed by Baudon et al. We derive analytical formulas and compare their solutions with numerical simulations. It turns out that instead of negative refraction, it is simply atomic reflection that occurs in the above-mentioned comoving potential. Furthermore, we find that the wave packet of the reflected atomic beam by comoving potentials can be narrowed by negative dispersion. Finally, we identify a potential configuration, near the interface with a cubic-type potential barrier, that may lead to the observation of negative refraction with incoherent matter waves.
Atom optics has seen fast development and vast achievements,and has wide application prospects.The basic principles of the manipulation and control of cold atoms using magnetic and laser fields are briefly introduced,followed by a detailed review of recent progress of geometric and wave atom optics as well as potential applications and the development of atom optics devices Topics include the reflection of atom beams and mirrors,the deflection(refraction) and focusing of atom beams and lenses,the diffraction of atom matter waves and gratings,atom interferometers,and atomic holography.