Transmission of quantum images by cold atoms along a waveguide-like two-dimensional potential well

It is shown that the currently available traps for cooled atomic beams, which are analogues of optical wave-guides for the de Broglie waves, are capable of transmitting quantum images. This process consists of expansion of the input image as a series in terms of the eigenfunctions of a two-dimensional potential well (waveguide) and the transmission of information about the terms of this series by travelling de Broglie waves to a section of the waveguide (remote from the input) where the initial image is synthesised as a result of the cophasal superposition of the terms of the series.