Quantum-information approach to dynamical diffraction theory

J. Nsofini, K. Ghofrani, D. Sarenac, D. G. Cory, and D. A. Pushin
Phys. Rev. A 94, 062311 – Published 8 December 2016

Abstract

We present a simplified model for dynamical diffraction of particles through a periodic thick perfect crystal based on repeated application of a coherent beam-splitting unitary at coarse-grained lattice sites. By demanding translational invariance and a computationally tractable number of sites in the coarse graining, we show how this approach reproduces many results typical of dynamical diffraction theory and experiments. This approach has the benefit of being applicable in the thick, thin, and intermediate crystal regimes. The method is applied to a three-blade neutron interferometer to predict the output beam profiles, interference patterns, and contrast variation.

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  • Received 11 May 2016

DOI:https://doi.org/10.1103/PhysRevA.94.062311

©2016 American Physical Society

Physics Subject Headings (PhySH)

General Physics

Authors & Affiliations

J. Nsofini1,2,*, K. Ghofrani2, D. Sarenac1,2, D. G. Cory2,3,4,5, and D. A. Pushin1,2

  • 1Department of Physics, University of Waterloo, Waterloo, Ontario, Canada, N2L3G1
  • 2Institute for Quantum Computing, University of Waterloo, Waterloo, Ontario, Canada, N2L3G1
  • 3Department of Chemistry, University of Waterloo, Waterloo, Ontario, Canada, N2L3G1
  • 4Perimeter Institute for Theoretical Physics, Waterloo, Ontario, Canada, N2L2Y5
  • 5Canadian Institute for Advanced Research, Toronto, Ontario, Canada, M5G1Z8

  • *jnsofini@uwaterloo.ca

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Vol. 94, Iss. 6 — December 2016

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