Generalizing the Quantum Information Model for Dynamic Diffraction
- URL: http://arxiv.org/abs/2111.05925v1
- Date: Wed, 10 Nov 2021 20:39:33 GMT
- Title: Generalizing the Quantum Information Model for Dynamic Diffraction
- Authors: O. Nahman-L\'evesque, D. Sarenac, D. G. Cory, B. Heacock, M. G. Huber,
D. A. Pushin
- Abstract summary: We present a quantum information (QI) model of dynamical diffraction based on propagating a particle through a lattice of unitary quantum gates.
We show that the model output is mathematically equivalent to the spherical wave solution of the Takagi-Taupin equations when in the appropriate limit.
Results demonstrate the universality of the QI model and its potential for modeling scenarios that are beyond the scope of the standard theory of DD.
- Score: 0.0
- License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
- Abstract: The development of novel neutron optics devices that rely on perfect crystals
and nano-scale features are ushering a new generation of neutron science
experiments, from fundamental physics to material characterization of emerging
quantum materials. However, the standard theory of dynamical diffraction (DD)
that analyzes neutron propagation through perfect crystals does not consider
complex geometries, deformations, and/or imperfections which are now becoming a
relevant systematic effect in high precision interferometric experiments. In
this work, we expand upon a quantum information (QI) model of DD that is based
on propagating a particle through a lattice of unitary quantum gates. We show
that the model output is mathematically equivalent to the spherical wave
solution of the Takagi-Taupin equations when in the appropriate limit, and that
the model can be extended to the Bragg as well as the Laue-Bragg geometry where
it is consistent with experimental data. The presented results demonstrate the
universality of the QI model and its potential for modeling scenarios that are
beyond the scope of the standard theory of DD.
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