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arXiv:physics/9912054 · Physical Review A

Atom-optics hologram in the time domain

Alexander Soroko

Published Jun 9, 2000• 4 citations
arXivHTMLPDF

Abstract

The temporal evolution of an atomic wave packet interacting with object and reference electromagnetic waves is investigated beyond the weak perturbation of the initial state. It is shown that the diffraction of an ultracold atomic beam by the inhomogeneous laser field can be interpreted as if the beam passes through a three-dimensional hologram, whose thickness is proportional to the interaction time. It is found that the diffraction efficiency of such a hologram may reach 100% and is determined by the duration of laser pulses. On this basis a method for reconstruction of the object image with matter waves is offered.

DOI
10.1103/physreva.62.013604

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The temporal evolution of an atomic wave packet interacting with object and reference electromagnetic waves is investigated beyond the weak perturbation of the initial state. It is shown that the diffraction of an ultracold atomic beam by the inhomogeneous laser field can be interpreted as if the beam passes through a three-dimensional hologram, whose thickness is proportional to the interaction time. It is found that the diffraction efficiency of such a hologram may reach 100% and is determined by the duration of laser pulses. On this basis a method for reconstruction of the object image with matter waves is offered.
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In standard holographic applications, an object and a reference beam are simultaneously made incident on a recording material. Interference between these beams results in the storage of the spatial Fourier transform of the object pulse in the material. It is shown here that if the storage material is frequency selective (as in the case of inhomogeneously broadened absorbers), not only the spatial but also the temporal structure of the object pulse can be stored in and reconstructed from the material.