Quantum Calculation of Cold-Atom Diffraction Using Periodic Magnetic Fields
When cold atoms approach a periodically magnetized surface, they are scattered by the effective repulsive potential U(x,y)=μBmFgB(x,y). If the period a of the magnetized surface is larger than the de Broglie wavelength λ of the atoms, the atoms are diffracted. We have developed a method for calculating the location and intensity of the diffraction peaks using formal scattering theory. We solve the exact two-dimensional Schrödinger equation with the finite element method and calculate the scattering amplitude f(ϕ) using the integral formula; a plot of ∣∣f(ϕ)∣∣2provides a visualization of the diffraction pattern. By varying the experimental parameters within a realistic range, we predict the optimal conditions for observing atom diffraction.
Giblin, John T. and al., et, "Quantum Calculation of Cold-Atom Diffraction Using Periodic Magnetic Fields" (2006). Physical Review A 73. Faculty Publications. Paper 254.
Physical Review A