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The European Physical Journal Applied Physics

Designing experiments for the study of atom diffraction from nanostructured optical potentials

Gaëtan Lévêque, C. Meier, Renaud Mathevet, B. Viaris de Lesegno, J. Weiner, Christian Girard

Published Nov 15, 2002• 2 citations
Publisher

Abstract

In this article we illustrate important characteristics of the diffraction of cold atoms from periodic light potentials generated from coupling a light wave to dielectric nanostructures. We apply a recently developed theoretical approach to investigate the behavior of Cs atoms dropped onto a periodically modulated optical dipole potential where the period of the modulation is controlled by the periodicity of the dielectric array. These nanostructures take the form of one-dimensional line gratings or two-dimensional point gratings. We discuss several important parameters critical to the successful realisation of laboratory experiments and future atom-optical instrumentation using this new kind of atomic diffraction medium.

DOI
10.1051/epjap:2002095

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In this article we illustrate important characteristics of the diffraction of cold atoms from periodic light potentials generated from coupling a light wave to dielectric nanostructures. We apply a recently developed theoretical approach to investigate the behavior of Cs atoms dropped onto a periodically modulated optical dipole potential where the period of the modulation is controlled by the periodicity of the dielectric array. These nanostructures take the form of one-dimensional line gratings or two-dimensional point gratings. We discuss several important parameters critical to the successful realisation of laboratory experiments and future atom-optical instrumentation using this new kind of atomic diffraction medium.
We develop a versatile theoretical approach to the study of ultracold atom diffractive scattering from light-field gratings by combining calculations of the optical near field generated by evanescent waves close to the surface of periodic nanostructured arrays with atom wavepacket propagation techniques. Nanometric one dimensional (1D) and 2D arrays with subwavelength periodicity deposited on a transparent surface and optically coupled to an evanescent wave source exhibit intensity and polarization gradients on the length scale of the object and can produce strong near-field periodic modulation in the optical potential above the structure. As a specific and experimentally practical example we calculate the diffraction of cold Cs atoms dropped onto a periodic optical potential crafted from a 2D nanostructure array. For an ``out-of-plane'' configuration we calculate a wide diffraction angle $(\ensuremath{\simeq}2\ifmmode^\circ\else\textdegree\fi{})$ and about 6060%60 of the initial atom flux in diffraction orders $\ifmmode\pm\else\textpm\fi{}1,$ an encouraging result for future experiments.
We have demonstrated a method of generation and real-time detection of nanostructures in a cold Rb cloud. These structures, which are periodic gratings of atomic density, appear as a result of interference of atoms diffracted by pulses of an optical standing wave of wavelength $\ensuremath{\lambda}.$ We have detected structures of period $\ensuremath{\lambda}/2$ and $\ensuremath{\lambda}/4.$ Calculations indicate that these density gratings have period $\ensuremath{\lambda}/2N$ for integer N. While the structures with the period $\ensuremath{\lambda}/2$ are easily detected by Bragg scattering of an optical probe beam, the shorter-period structures are not. For their detection we have developed a three-pulse echo method, in which the shorter-period gratings get converted into the structures with period $\ensuremath{\lambda}/2,$ readily detected in real time. Applications related to lithography are discussed.
We present a method to create a blazed atomic diffraction grating by use of a periodical optical potential. Like its optical counterpart, the blazed atomic diffraction grating distributes intensity into a specific nonzero diffraction order. Total internal reflection of a laser beam coupled to the nanostructured surface of a prism results in transverse modulation of the intensity responsible for atomic diffraction. For specific illumination parameters and periodicity of the pattern, the long-range potential interacting with the atoms has an asymmetric sawtooth shape. Analytic and numerical calculations show that population diffracted in the +1 order can be optimized to approximately 55%, with almost no population into the -1 order.
We first calculated the diffraction intensity distributions of the Dammann gratings illuminated by Gaussian light wave. The empirical equations were deduced by numerical calculations to calculate the parameters, such as the spatial period, the maximum intensity, and the maximum intensity gradient, of the optical trap array composed by a set of Dammann gratings and a focus lens. Thus, a novel type of optical trap array for trapping cold atoms (or molecules) was proposed and its features were discussed. The results showed the optical trap array with very short period could be generated. High optical dipole potential could be presented so as to have strong attractive force to the atoms to form atomic optical lattices of high lattice density. Compared with the optical lattices formed by standing wave interferences of CO2 laser, there are many unique advantages of which are formed by Dammann gratings.
We have studied the optical properties of gratings microfabricated into semiconductor wafers, which can be used for simplifying cold-atom experiments. The study entailed the characterization of the diffraction efficiency as a function of the coating, periodicity, duty cycle, and geometry using over 100 distinct gratings. The critical parameters of experimental use, such as the diffraction angle and wavelength, are also discussed, with an outlook to achieving optimal ultracold experimental conditions.
We investigate the quantum linear and nonlinear effects in a novel five-level quantum system placed near a plasmonic nanostructure. Such a quantum scheme contains a double-V-type subsystem interacting with a weak probe field. The double-V-subsystem is then coupled to an excited state by a strong coupling field, which can be a position-dependent standing-wave field. We start by analyzing the first-order linear as well as the third and fifth order nonlinear terms of the probe susceptibility by systematically solving the equations for the matter-fields. When the quantum system is near the plasmonic nanostructure, the coherent control of linear and nonlinear susceptibilities becomes inevitable, leading to vanishing absorption effects and enhancing the nonlinearities. We also show that when the coupling light involves a standing-wave pattern, the periodic modulation of linear and nonlinear spectra results in an efficient scheme for the electromagnetically induced grating (EIG). In particular, the diffraction efficiency is influenced by changing the distance between the quantum system and plasmonic nanostructure. The proposed scheme may find potential applications in future nanoscale photonic devices.