2009
DOI: 10.1103/physrevlett.102.140403
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Negative-Index Media for Matter-Wave Optics

Abstract: We consider the extension of optical metamaterials to matter waves and then the down scaling of metaoptics to nanometric wavelengths. We show that the generic property of pulsed comoving magnetic fields allows us to fashion the wave-number dependence of the atomic phase shift. It can be used to produce a transient negative group velocity of an atomic wave packet, which results into a negative refraction of the matter wave. Application to slow metastable argon atoms Ar(3P2) shows that the device is able to oper… Show more

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Cited by 18 publications
(33 citation statements)
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“…[1][2][3][4][5][6][7] Recently, gradient-index meta-surfaces have been shown to have the ability to manipulate wavefronts at will in a refl ectionless manner. [ 8 ] As an extreme case of this wavefront tailoring, normally incident waves can be bent 90 degrees onto a sample surface, turning into confi ned directional surface waves with high effi ciency.…”
Section: Introductionmentioning
confidence: 99%
“…[1][2][3][4][5][6][7] Recently, gradient-index meta-surfaces have been shown to have the ability to manipulate wavefronts at will in a refl ectionless manner. [ 8 ] As an extreme case of this wavefront tailoring, normally incident waves can be bent 90 degrees onto a sample surface, turning into confi ned directional surface waves with high effi ciency.…”
Section: Introductionmentioning
confidence: 99%
“…Among these studies, coherent splitting of atomic beams is a key technique [1,[17][18][19]. Matter-wave Bragg diffraction, analogous to diffraction of an optical beam by a periodic medium, has been intensively investigated for splitting a matter wave into a superposition of momentum states using an optical lattice [20][21][22] or a magnetic lattice [23][24][25]. High-momentum transfer splitters are essential for high-precision atom interferometers [26].…”
mentioning
confidence: 99%
“…Experimental demonstration of this kind * jacques.baudon@univ-paris13.fr of force acting on atoms has been achieved on metastable hydrogen in a Stern-Gerlach interferometer [6]. As shown in a previous paper [7] for the case of comoving magnetic potential, for sufficiently large values of τ 1 (τ 1 τ ), this potential transforms the initial atomic wave function (for a given value of k) 0 into = exp[iϕ 1 (k,t)] 0 , where the phase shift is given by…”
mentioning
confidence: 81%
“…As a consequence, the motion of the center of a synchronized wave packet is altered: the group velocity becomes v =hk 0 /m − [∂ t ∂ k ϕ 1 ] k 0 , k 0 being the center of the momentum distribution. This effect has been theoretically investigated at small velocities with metastable argon atoms Ar*( 3 P 2 ) to make negative values of v, creating de facto a negative-index "meta-medium" for matter waves [7]. Actually expression (1) of the phase shift is obtained using the WKB or short-wavelength approximation in which the spatial variation of the potential is assumed to be small at the de Broglie wavelength scale, i.e., λ dB .…”
mentioning
confidence: 99%