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AIP conference proceedings

Moving evanescent light grating for the diffraction of atoms

B. W. Stenlake, Ian C. M. Littler, Peter Fisk, Hans‐A. Bachor, K. G. H. Baldwin

Published Jan 1, 1993• 0 citations
Publisher

Abstract

In order to diffract atoms from an evanescent light reflection grating the Rabi frequency must be greater than the Doppler shift associated with the atomic velocity. For thermal atoms this cannot be achieved using dye lasers. Rather than slow the atoms we have produced a moving light grating and observe resonances in the reflectivity of the grating for certain grating velocities. The position of these resonances fulfils the Doppleron condition Δ’=nΔD’, which is consistent with a dressed state model for diffraction from such a grating.

DOI
10.1063/1.45080

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Australian Journal of Physics•Aug 1, 1996•2 citations
In order to diffract atoms from an evanescent light reflection grating the Rabi frequency must be greater than the Doppler shift associated with the atomic velocity. For thermal atoms this cannot be achieved using dye lasers. Rather than slow the atoms we have produced a moving light grating and observe resonances in the reflectivity of the grating for certain grating velocities. The position of these resonances fulfils the Doppleron condition Δ’=nΔD’, which is consistent with a dressed state model for diffraction from such a grating.
We report on the observation of velocity-tuned (doppleron) resonances in the grazing-incidence reflection of thermal sodium atoms from a moving evanescent light grating created by interference between two counterpropagating laser beams. The relative velocity between the atoms and the grating can be varied continuously by adjusting the frequency of one laser. We observe an exchange of photons between copropagating and counterpropagating fields in an evanescent light grating. The results are in general agreement with a dressed-state model for the diffraction of atoms from such a grating.
This thesis reports an investigation of the interaction of a thermal sodium beam with a variety of near-resonant evanescent field configurations which was performed between March 1990 and September 1993.The evanescent fields were tuned above the sodium D2 transition, in order to repel atoms at glancing incident angles through the gradient force.Three evanescent field configurations, corresponding to various optic elements, were employed.The first configuration was a travelling evanescent field, from which reflection of the beam was observed at glancing angles up to 4.5mrad.This configuration corresponds to a mirror for atoms.The second configuration was a standing evanescent wave generated by retroreflecting the travelling evanescent wave.The resulting evanescent wave consisted of closely spaced reflective regions separated by non-reflecting nodes of the standing wave.This configuration corresponds to a mirror grating with periodicity 7J2.The atomic beam was reflected from the evanescent field.No diffraction was observed, however.The final configuration was a moving standing evanescent grating, generated by interference between two counterpropagating laser beams.The relative velocity between the atoms and the grating could be continuously varied by adjusting the frequency of one laser.Coherent exchange of photons between the two fields in the moving evanescent grating was observed.This exchange exhibited velocity dependent resonant behaviour corresponding to doppleron resonances.The results are explained in terms of a dressed-state model for diffraction of atoms from such a grating.A parameter search was performed in an attempt to observe the diffraction of the thermal sodium beam, with null results.However, deflections which were dependent on grating velocity are reported.
Realization of the analogues of optical components for the manipulation of atomic de Broglie waves has recently become possible through the use of laser-based techniques. The strong fields generated by laser light have already been used to reflect atoms using travelling evanescent waves, and to diffract atomic beams through small angles using transmission gratings formed by a standing laser light wave in vacuo. Present experiments aim to combine these techniques to produce a reflection diffraction grating formed by a standing evanescent laser-light field, and to exploit the larger diffraction angles made possible theoretically by such a scheme.
The diffraction theory of a reflection grating for atoms based on a standing light wave is developed in a particular dressed-state approximation. The basis states take into account internal and external atomic degrees of freedom simultaneously and correspond to diffraction orders in the asymptotic region. In this basis the atom is described as an effective multilevel system. In an adiabatic approximation for the motion perpendicular to the grating, these levels serve as position-dependent potentials. An incoming de Broglie wave is coupled to higher diffraction orders by nonadiabatic transitions near avoided crossings of the potentials. Numerical results confirm the qualitative predictions following from the physical picture of the diffraction process and lead to an improved description of experiments.
We present two results in an investigation of reflection and diffraction of atoms by gratings formed either by standing or travelling evanescent laser waves. Both results use the bare-state rather than dressed-state picture. One is based on the Born series, whereas the other is based on the Laplace transformation of the coupled differential equations. The two solutions yield the same theoretical expressions for reflected and diffracted atomic waves in the whole space, including the interaction and the asymptotic regions.