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Physical Review A

Reflection beam splitter for multilevel atoms

Rainer A. Deutschmann, Wolfgang A. Ertmer, Hartmut Wallis

Published Dec 1, 1993• 11 citations
Publisher

Abstract

We propose a beam splitter for atomic de Broglie waves combining atomic reflection from an evanescent laser wave with induced transitions between ground-state sublevels in a homogeneous magnetic field. An inelastic change of Zeeman energy during the reflection results in an angular separation of the outgoing partial beams. By choosing suitable relative phases between the polarization components of the evanescent wave, a two-channel beam splitter with an adjustable splitting ratio can be realized.

DOI
10.1103/physreva.48.r4023

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We propose a beam splitter for atomic de Broglie waves combining atomic reflection from an evanescent laser wave with induced transitions between ground-state sublevels in a homogeneous magnetic field. An inelastic change of Zeeman energy during the reflection results in an angular separation of the outgoing partial beams. By choosing suitable relative phases between the polarization components of the evanescent wave, a two-channel beam splitter with an adjustable splitting ratio can be realized.
The key elements for atom interferometers are atomic beam splitters and recombiners. An atomic beam splitter separates a single atomic wave function into a superposition state corresponding to two center of mass wavepackets that propagate in different spatial directions and a recombiner reunites the atomic beams. We report here on the investigation of 1) an atomic beam splitter with large separation angle based on the optical Stern Gerlach effect, 2) an atomic mirror based on the reflection of atoms by different types of evanescent waves (a simple evanescent wave and a surface plasmon wave), 3) an atomic beam splitter realized by the partial spatial reflection of an atom by an evanescent wave and 4) diffraction of atoms by a standing evanescent wave.
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.
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.
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.
We report on a technique to split an atomic beam coherently with an easily adjustable splitting angle. In our experiment metastable helium atoms in the ∣1s2s3S1M=1⟩|{1s2s}{^{3}S}_{1}\phantom{\rule{0.3em}{0ex}}M=1⟩∣1s2s3S1​M=1⟩ state diffract from a polarization gradient light field formed by counterpropagating ${\ensuremath{\sigma}}^{+}$ and ${\ensuremath{\sigma}}^{\ensuremath{-}}$ polarized laser beams in the presence of a homogeneous magnetic field. In the near-adiabatic regime, energy conservation allows the resonant exchange between magnetic energy and kinetic energy. As a consequence, symmetric diffraction of ∣M=0⟩|M=0⟩∣M=0⟩ or $|M=\ensuremath{-}1⟩$ atoms in a single order is achieved, where the order can be chosen freely by tuning the magnetic field. We present experimental results up to sixth-order diffraction ($24\ensuremath{\hbar}k$ momentum splitting, i.e., 2.21 m/s in transverse velocity) and present a simple theoretical model that stresses the similarity with conventional Bragg scattering. The resulting device constitutes a flexible, adjustable, large-angle, three-way coherent atomic beam splitter with many potential applications in atom optics and atom interferometry.
In this letter we present a theoretical study of the coherent diffraction of three-level atoms from a light field with a polarization gradient (counterpropagating crossed linearly polarized beams) and a static magnetic field applied parallel to the laser propagation direction. We show that for a particular ratio of the laser field intensity and the magnetic-field strength, there occurs a resonance between the Larmor precession of the magnetic alignment and the Rabi oscillations. On resonance the atomic wave function is diffracted by an approximately triangular optical potential which leads to a very efficient coherent splitting of the atomic beam. The proposed configuration is particularly interesting in relation to atom interferometry, when efficient coherent beam splitters for atoms are required.