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Quantum-Atom Optics Downunder (QAO)

Quasi-Bragg Scattering of Atoms: Flexible, Magnetically Tunable Beam Splitters for Interferometry

K. A. H. van Leeuwen, K.F.E.M. Domen, M.A.H.M. Jansen

Published Jan 1, 2007• 0 citations
Publisher

Abstract

We have used a new technique to construct a clean, large-angle, coherent atomic beam splitter with an easily adjustable splitting angle. Helium atoms in the J=1 metastable state diffract from a far-detuned light field with ‘corkscrew’ polarization in the presence of a homogeneous magnetic field. Adiabatic transfer from magnetic energy to ‘transverse kinetic energy’ then allows symmetric diffraction of the incoming beam in a single, high diffraction order with a different value of M. The order is set by the value of the magnetic field. The result is a flexible, adjustable, large-angle, three-way atomic beam splitter for atom interferometry.

DOI
10.1364/qao.2007.qthc4

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We have used a new technique to construct a clean, large-angle, coherent atomic beam splitter with an easily adjustable splitting angle. Helium atoms in the J=1 metastable state diffract from a far-detuned light field with ‘corkscrew’ polarization in the presence of a homogeneous magnetic field. Adiabatic transfer from magnetic energy to ‘transverse kinetic energy’ then allows symmetric diffraction of the incoming beam in a single, high diffraction order with a different value of M. The order is set by the value of the magnetic field. The result is a flexible, adjustable, large-angle, three-way atomic beam splitter for atom interferometry.
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.
We report on a novel atomic beamsplitter. It combines the advantages of Bragg scattering (transfer possible into a single, very high diffraction order due to adiabatic conservation of ‘transverse kinetic energy’) with the convenience of tuning the splitting angle simply by adjusting a magnetic field. It also offers the added flexibility of a three-port beamsplitter. Our configuration consists of a quasi-standing light wave with +-- polarization configuration and a transverse magnetic field. The incoming metastable (3P1) helium atoms intersect the light wave perpendicularly. Adiabatic transfer to a single diffraction order can be achieved by, e.g., starting with atoms in the M = 1, p = 0 substate (p denoting the transverse momentum) and tuning the magnetic field such that the energy of the M = 0, p = ±2n¯hk substates (with n the diffraction order and k the wavenumber of the light) is equal to the energyof the initial state. We have experimentally demonstrated quasi-Bragg scattering up to 8th order, confirmed the magnetic tunability, and compared our results with numerical simulations.
Using a ``monochromatic'' (single-axial-velocity) and slow (250 m/s) beam of metastable helium atoms, we realize up to eighth-order Bragg scattering and obtain a splitting angle of 6 mrad at low laser power (3 mW). This corresponds to a truly macroscopic separation of 12 mm on the detector. For fifth-order scattering, we have observed several oscillations of the splitting ratio when varying the laser power (``Pendell\"osung oscillations''). The large splitting angle, the adjustable splitting ratio, and the cleanness of the split beams, with $200\ensuremath{-}\ensuremath{\mu}\mathrm{m}$ rms width each, make the beam splitter ideal for a large-enclosed-area atom interferometer.
Abstract Atomic beam splitters are fundamental components of atom interferometers, with broad applications in high sensitivity metrology and integrated atom optics devices. In this work, we theoretically demonstrate coherent beam splitting of a metastable helium atomic beam using a pulsed bichromatic standing wave. Our key innovation is a fully self-consistent model coupling the optical Bloch equations - which include spontaneous emission via a Lindblad term - with the classical equations of atomic motion, enabling the simulation of real-time splitting dynamics. This allows us to simulate the real-time dynamics and identify optimal experimental parameters neglected in prior splitter studies. Crucially, we find that the optimal standing-wave phase difference is ϕ= 3π/4, not π/2, maximizing the distinction between the dynamical pathways for splitting the metastable helium beam (2 3 S 1 →3 3 P 2 transition). We propose and validate the use of optical pulses shorter than the spontaneous emission lifetime to suppress decoherence. Monte Carlo simulations predict a clean binary split with a tunable splitting angle to 56 mrad, corresponding to 56 ħk momentum transfer, and a splitting efficiency of 55 - 83% via detuning.
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.
We demonstrate a coherent atomic beam splitter for metastable helium atoms, based on the diffraction of atomic matter waves from a blazed phase grating. The beam splitter is created by driving the two transitions of a three-level V system with differentially detuned standing light waves that have a relative spatial phase shift of pi/2. The light f ields create a potential that is approximately triangular as a function of position in the laser field. Splittings of 38 times the photon momentum have been observed.