Second-Order Semiclassical Perturbation Theory for Diffractive Scattering from a Surface

Abstract

A second-order semiclassical perturbation theory is developed and applied to the elastic scattering of an atom from a corrugated surface. Analytical expressions for the diffraction pattern in the momentum space are obtained based on a sine corrugation function and a Morse potential for the interaction of the particle with the surface. The theory is implemented for a model of the in-plane scattering of Ar atoms from a LiF(100) surface. The resulting diffraction intensities are compared with second-order perturbation theory classical distributions and close-coupling results for two incident energies of 300 and 700 meV. The previous first-order perturbation theory predicts a symmetric diffraction pattern about the elastic peak, while the second-order semiclassical perturbation theory accounts correctly for the asymmetry in the diffraction pattern.

Grazing incidence fast atom diffraction, similarities and differences with thermal energy atom scattering (TEAS)

“…12c. A second-order perturbation theory has been recently proposed by Pollak and Miret-Artés 64 that should allow even better corrections. During an azimuthal scan, the angle of incidence y i should remain fixed.…”

Helium diffraction on SiC grown graphene: Qualitative and quantitative descriptions with the hard-corrugated-wall model

“…Schematically the "egg box" view of the surface atoms with 2D symmetry is replaced by a "corrugated iron sheet" or washboard description with only 1D symmetry along y and translational invariance along x. A tiny misalignment of the beam with respect to the low index surface crystallographic axis does not alter the 1D symmetry but simply changes both the effective energy and the initial direction of the effective particle [25][26][27][28]. With these simplifications, calculating the diffraction of helium atoms onto any periodic topology becomes computationally more affordable.…”

“…3 of [2]). Recently, two independent papers [27,28] have proposed analytical formulae taking into account the oblique incidence. These predictions have not yet been compared together but both should significantly improve the comparison of HAS data with simple descriptions of the surface corrugation function.…”

Efficient shortcuts to adiabatic passage for three-dimensional entanglement generation via transitionless quantum driving

“…The realistic problem related to the experiment is how to capture the two 87 Rb atoms into the same cavity and control them precisely by using different laser pulses in the same cavity. The optical dipole trap (ODT) is one optimal candidate system for QIP using laser cooling techniques 55 56 57 58 59 60 . A quantum register composed of 5 qubits and the controllable Rabi oscillation for 5 qubits has been realized by using monochromatic microwave field to coherently control these atoms 61 .…”