Noise refocusing in a five-blade neutron interferometer

Nsofini, J.; Ghofrani, Kamyar; Huber, M.; Arif, Muhammad; Cory, David G.; Pushin, D. A.

doi:10.1063/1.4996866

Cited by 6 publications

(5 citation statements)

References 47 publications

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“…That is, the blades are not positioned at equal distances in this geometry. The cost of breaking this symmetry has been shown recently to cause a decrease in the contrast of the four-blade NI [16]. Stated in another way, the phases occurring due to diffraction inside the blade are not equal for Path I and Path II in this NI geometry.…”

Section: Effects Of Defocussingmentioning

confidence: 96%

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Coherence optimization in neutron interferometry through defocusing

2019

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A zero-area four-blade perfect crystal neutron interferometer (NI) possess a decoherence-free subspace (DFS) for low-frequency mechanical vibrations and thus is easier to site. However, unlike the standard three-blade Mach-Zehnder NI the ideal contrast of this four-blade NI geometry is less than one. By applying a recently introduced quantum information model for dynamical diffraction we show that the contrast for the four-blade DFS NI can be increased by offsetting the focusing condition. The contrast optimization leads to an NI geometry where the distances between the centers of the blades are equidistant. An experiment is proposed to verify the increase in contrast.

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Section: Effects Of Defocussingmentioning

confidence: 96%

“…In spite of this, the observed contrast of 25% in [14] was less than half of the expected contrast. A recent study suggests that the maximum achievable contrast for the DFS NI is unavoidably less than one [16].…”

Section: Introductionmentioning

confidence: 99%

Coherence optimization in neutron interferometry through defocusing

2019

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“…The phase ξ on the diagonals is not physical and thus set to zero. The off-diagonal phase ζ associated with a global lattice translation is important to interferometer simulations [26], where a relative translation of one of the diffracting optics shifts the phase of the measured interference pattern, but it is of no consequence to the simulations presented here and also set to zero.…”

Section: B Quantum Information (Qi) Modelmentioning

confidence: 99%

“…Nsofini et al [25][26][27] demonstrated that many of the results of dynamical diffraction can be reproduced in the Laue case using a quantum information (QI) model, in which neutrons travel through a quantum Galton board where every peg corresponds to the application of a unitary operator on the neutron state. The intensity profiles predicted by the standard results of dynamical diffraction were reproduced with accuracy depending on the amount of layers used to model the crystal thickness.…”

Section: Introductionmentioning

confidence: 99%

Generalizing the Quantum Information Model for Dynamic Diffraction

Nahman-Lévesque,

Sarenac,

Cory

et al. 2021

Preprint

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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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“…The recently introduced quantum information (QI) model of DD attempts to simplify the mathematics by treating the neutron propagation as a quantum random walk [24][25][26][27]. Good agreement has been found between the model and the standard DD effects such as the Borrmann triangle, pendellösung oscillations, and the spatial intensity profiles of the NI paths.…”

Section: Introductionmentioning

confidence: 99%

Quantum information approach to the implementation of a neutron cavity

et al. 2023

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Using the quantum information model of dynamical diffraction we consider a neutron cavity composed of two perfect crystal silicon blades capable of containing the neutron wavefunction. We show that the internal confinement of the neutrons through Bragg diffraction can be modelled by a quantum random walk. Furthermore, we introduce a toolbox for modelling crystal imperfections such as surface roughness and defects. Good agreement is found between the simulation and the experimental implementation, where leakage beams are present, modelling of which is impractical with the conventional theory of dynamical diffraction. Analysis of the standing neutron waves is presented in regards to the crystal geometry and parameters; and the conditions required for welldefined bounces are derived. The presented results enable new approaches to studying the setups utilizing neutron confinement, such as the experiments to measure neutron magnetic and electric dipole moments.

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Noise refocusing in a five-blade neutron interferometer

Cited by 6 publications

References 47 publications

Coherence optimization in neutron interferometry through defocusing

Coherence optimization in neutron interferometry through defocusing

Generalizing the Quantum Information Model for Dynamic Diffraction

Quantum information approach to the implementation of a neutron cavity

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