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Conference on Lasers and Electro-Optics Pacific Rim (CLEO-PR)

Imaging of atomic beam with the electrostatic atom lens

Heung‐Ryoul Noh, Y. Kurita, Kazuko Shimizu, Fujio Shimizu

Published Jan 20, 2003• 0 citations
Publisher

Abstract

In the field of atom optics, there has been much interests in developing components such as lenses, mirrors, beam splitters and waveguides to manipulate neutral atoms. Especially many clever methods to focus neutral atoms have been developed. The lenses have been constructed using the static electrical and magnetic fields, Fresnel zone plates, and radiation pressure forces. Before the laser cooling and trapping techniques were invented, the electrostatic fields could not be used for manipulating neutral atoms because of its weak interaction energy with atoms. After the cold atoms were available, it has been possible to manipulate atoms with weak electrostatic interaction energy. We developed an atom lens system using electrostatic fields.

DOI
10.1109/cleopr.1999.811400

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In the field of atom optics, there has been much interests in developing components such as lenses, mirrors, beam splitters and waveguides to manipulate neutral atoms. Especially many clever methods to focus neutral atoms have been developed. The lenses have been constructed using the static electrical and magnetic fields, Fresnel zone plates, and radiation pressure forces. Before the laser cooling and trapping techniques were invented, the electrostatic fields could not be used for manipulating neutral atoms because of its weak interaction energy with atoms. After the cold atoms were available, it has been possible to manipulate atoms with weak electrostatic interaction energy. We developed an atom lens system using electrostatic fields.
The imaging of a neutral atomic beam by electrostatic force has been demonstrated. An ultracold neon atomic beam in the 1s3[(2p)53s:1P0]{1s}_{3}[{(2p)}^{5}{3s:}^{1}{P}_{0}]1s3​[(2p)53s:1P0​] state illuminated a transparent object, passed through a set of three electrostatic lenses, and formed the image on a microchannel plate detector with the magnification of unity. Each lens consisted of two parallel cylinders that functioned as a concave lens along one axis and as a convex lens along the other axis. The atomic polarizability of neon in the 1s3{1s}_{3}1s3​ state has been also determined to be $2.8(\ifmmode\pm\else\textpm\fi{}0.1)\ifmmode\times\else\texttimes\fi{}{10}^{\ensuremath{-}39} {\mathrm{Fm}}^{2}.$
Matter wave optics has a long tradition spanning over many decades starting with electron and ion optics. These techniques now find commercial applications in microscopy and lithography. Neutron optics contributed many beautiful experiments that tested many fundamental principles in quantum mechanics. Over the last decade the field of atom optics has been developed. In particular the availability of narrowband tunable laser sources has opened up the addressing of the internal electronic degrees of freedom of the atoms and as a result, the manipulation of their trajectories. The dissipative nature of the atom light interaction is used for laser cooling methods e.g. to collimate atomic beams to a high brightness whereas the dispersive nature of the interaction is used to realize different atom optical components like lenses, beam-splitters and mirrors. Consequently atom optics is now at a stage where applications of those elements in more complex systems are studied. An overview of recent developments is given. This includes atom interferometry and atom lithography experiments and experiments with a quasi 2D gas of ultra cold atoms in planar waveguides. Future directions and applications are outlined.
Clouds of cold atoms, collected and refrigerated by laser light, can be cooled to nanoKelvin temperatures. This has created the new field of atom optics where cold atoms are manipulated, much as photons are controlled in traditional optics using mirrors, lenses, and gratings. It is also becoming possible to confine and manipulate atoms in extremely small traps and waveguides, which give access to de Broglie wave physical optics. Atoms flowing in such structures could provide a new technology based on the flow and quantum interactions of neutral atoms. Atom 'chips' could lead to integrated atom interferometers and even possibly to a quantum information processor.
The principal element in any sort of optics is a lens. It is essential to create laser field configurations capable of focusing neutral atomic beams. There are two possibilities for focusing an atomic beam by laser light: by using the gradient force or by using the light pressure force. The force effecting the focusing of an atom in a beam should be proportional to the atomic displacement. This criterion must be satisfied for the force to produce the true “image”: if this criteria is not met, the image is blurred, i.e. there are aberrations. An approach to treat the focusing of atomic beam by laser light is to use the path integral technique to calculate the evolution of atomic wave function as it propagates in laser field. A particle-optical approach also can be used for treatment of focusing of atoms by laser light. The quadratic radial dependence of the potential is a necessary condition for focusing of atoms.
The most efficient method for controlling the motion of material particles in experimental physics is the use of interaction potentials with electromagnetic fields. The static magnetic and electric interaction potentials are used in the optics of charged particles. In the optics of neutral atoms, the various interaction potentials of atoms with laser and electromagnetic fields are used in addition to the static fields. The effective methods of diffraction, interference, mirror reflection of atoms are implemented in atom optics. The most difficult problem in atom optics is the problem of high-resolution focusing of neutral atoms, which is promising for the nondestructive method for probing the surface at the atomic level, as well as for the creation of nanostructures on the surface. Although there are many proposals for focusing of atomic beams, this problem is experimentally unsolved. The main difficulty is the creation of the interaction potential of the atom with the electromagnetic field that is close to an ideal lens for atoms.In this paper, we experimentally implement another approach to the problem of focusing and construction of an image in atom optics, which is based on a well known idea of optical pinhole camera. The pinhole camera in optics is a camera without lens. Light forming an image passes through a small hole. In our experiment with the atom pinhole camera the Cr atomic beam passes through a set of holes in a metal mask and thereby forms, by analogy with optics, a glowing object of a given geometry. The atoms pass through the holes in the mask, propagate in vacuum along rectilinear trajectories, similar to light rays, and are incident on a thin film (thickness 5 mum) placed at a distance of 90 mm from the mask with a large number (n =107-108/cm2) of nanoholes (50 nm diameter). Each hole of the film is a pinhole camera for atoms, which forms its individual image of the object on the substrate surface placed at a distance of l = 5mum behind the film.
For the last decade it has been possible to cool atoms to microkelvin temperatures (~1 cm s -1 ) using a variety of optical techniques. Light beams provide the very strong frictional forces required to slow atoms from room temperature (~500 m s -1 ). However, once the atoms are cold, the relatively weak conservative forces of static electric and magnetic fields play an important role. In our group we have been studying the interaction of cold rubidium atoms with periodically magnetized data storage media. Here we review the underlying principles of the forces acting on atoms above a suitably magnetized substrate or near current-carrying wires. We also summarize the status of experiments. These structures can be used as smooth or corrugated reflectors for controlling the trajectories of cold atoms. Alternatively, they may be used to confine atoms to a plane, a line, or a dot and in some cases to reach the quantum limit of confinement. Atoms levitated above a magnetized surface can be guided electrostatically by wires deposited on the surface. The flow and interaction of atoms in such a structure may form the basis of a new technology, `integrated atom optics' which might ultimately be capable of realizing a quantum computer.