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Title: Effects of entanglement on elastic and inelastic scattering functions for neutron scattering from a pair of nuclei in solids

Abstract

We calculate the scattering function of neutrons, S(q-vector, {omega}), from a pair of nuclei in entangled states caused by the quantum-mechanical indistinguishability of particles. From the calculation, the conditions for detecting the entanglement of protons in solids by neutron scattering experiments are clarified. Our conclusion is that the entangled state of a proton pair, if it exists, can be observed by performing neutron scattering experiments at very low temperatures for elastic scattering and with high energy resolution for inelastic scattering.

Authors:
; ;  [1]
  1. Department of Physics, Chuo University, Kauga, Bunkyo-ku, Tokyo (Japan)
Publication Date:
OSTI Identifier:
20787818
Resource Type:
Journal Article
Resource Relation:
Journal Name: Physical Review. B, Condensed Matter and Materials Physics; Journal Volume: 73; Journal Issue: 1; Other Information: DOI: 10.1103/PhysRevB.73.014305; (c) 2006 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA)
Country of Publication:
United States
Language:
English
Subject:
75 CONDENSED MATTER PHYSICS, SUPERCONDUCTIVITY AND SUPERFLUIDITY; 71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; COMPTON EFFECT; ENERGY RESOLUTION; INELASTIC SCATTERING; NEUTRON DIFFRACTION; NEUTRON SPECTRA; NEUTRONS; NUCLEI; PROTONS; QUANTUM ENTANGLEMENT; QUANTUM MECHANICS; SOLIDS

Citation Formats

Sugimoto, Hidehiko, Okumura, Aiko, and Yuuki, Hiroyuki. Effects of entanglement on elastic and inelastic scattering functions for neutron scattering from a pair of nuclei in solids. United States: N. p., 2006. Web. doi:10.1103/PHYSREVB.73.0.
Sugimoto, Hidehiko, Okumura, Aiko, & Yuuki, Hiroyuki. Effects of entanglement on elastic and inelastic scattering functions for neutron scattering from a pair of nuclei in solids. United States. doi:10.1103/PHYSREVB.73.0.
Sugimoto, Hidehiko, Okumura, Aiko, and Yuuki, Hiroyuki. Sun . "Effects of entanglement on elastic and inelastic scattering functions for neutron scattering from a pair of nuclei in solids". United States. doi:10.1103/PHYSREVB.73.0.
@article{osti_20787818,
title = {Effects of entanglement on elastic and inelastic scattering functions for neutron scattering from a pair of nuclei in solids},
author = {Sugimoto, Hidehiko and Okumura, Aiko and Yuuki, Hiroyuki},
abstractNote = {We calculate the scattering function of neutrons, S(q-vector, {omega}), from a pair of nuclei in entangled states caused by the quantum-mechanical indistinguishability of particles. From the calculation, the conditions for detecting the entanglement of protons in solids by neutron scattering experiments are clarified. Our conclusion is that the entangled state of a proton pair, if it exists, can be observed by performing neutron scattering experiments at very low temperatures for elastic scattering and with high energy resolution for inelastic scattering.},
doi = {10.1103/PHYSREVB.73.0},
journal = {Physical Review. B, Condensed Matter and Materials Physics},
number = 1,
volume = 73,
place = {United States},
year = {Sun Jan 01 00:00:00 EST 2006},
month = {Sun Jan 01 00:00:00 EST 2006}
}