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Title: Quantum contextual phenomena observed in single-neutron interferometer experiments

Abstract

Neutron optical experiments are presented, which exhibit quantum contextual phenomena. Entanglement is achieved not between particles, but between degrees of freedom, in this case, for a single-particle. Appropriate combinations of the direction of spin analysis and the position of the phase shifter allow an experimental verification of the violation of a Bell-like inequality. Our experiments manifest the fact that manipulation of the wavefunction in one Hilbert space influences the result of the measurement in the other Hilbert space: manipulation without touch{exclamation_point} Next, we report another experiment which exhibits other peculiarity of quantum contextuality, e.g., originally intended to show a Kochen-Specker-like phenomenon. We have introduced inequalities for quantitative analysis of the experiments. The value obtained in the experiments clearly showed violations of prediction by non-contextual theory. Finally, we have accomplished a tomographic determination of entangled quantum state in single-neutrons. There, characteristics of the Bell-sate are confirmed: four poles for the real part of the density matrix are clearly seen.

Authors:
 [1];  [2];  [3]
  1. Atominstitut der Oesterreichischen Universitaeten, Stadionallee 2, A-1020 Wien (Austria)
  2. (JST), Kawaguchi, Saitama (Japan)
  3. Atominstitut der Oesterreichischen Universitaeten, Stadionallee 2, A-1020 Vienna (Austria)
Publication Date:
OSTI Identifier:
20787703
Resource Type:
Journal Article
Journal Name:
AIP Conference Proceedings
Additional Journal Information:
Journal Volume: 810; Journal Issue: 1; Conference: Vaxjo conference on quantum theory: Reconsideration of foundations - 3, Vaxjo (Sweden), 6-11 Jun 2005; Other Information: DOI: 10.1063/1.2158717; (c) 2006 American Institute of Physics; Country of input: International Atomic Energy Agency (IAEA); Journal ID: ISSN 0094-243X
Country of Publication:
United States
Language:
English
Subject:
74 ATOMIC AND MOLECULAR PHYSICS; BELL THEOREM; DEGREES OF FREEDOM; DENSITY MATRIX; HILBERT SPACE; INTERFEROMETERS; INTERFEROMETRY; NEUTRONS; PHASE SHIFT; QUANTUM ENTANGLEMENT; SPIN; WAVE FUNCTIONS

Citation Formats

Hasegawa, Yuji, PRESTO, Japan Science and Technology Agency, and Rauch, Helmut. Quantum contextual phenomena observed in single-neutron interferometer experiments. United States: N. p., 2006. Web. doi:10.1063/1.2158717.
Hasegawa, Yuji, PRESTO, Japan Science and Technology Agency, & Rauch, Helmut. Quantum contextual phenomena observed in single-neutron interferometer experiments. United States. doi:10.1063/1.2158717.
Hasegawa, Yuji, PRESTO, Japan Science and Technology Agency, and Rauch, Helmut. Wed . "Quantum contextual phenomena observed in single-neutron interferometer experiments". United States. doi:10.1063/1.2158717.
@article{osti_20787703,
title = {Quantum contextual phenomena observed in single-neutron interferometer experiments},
author = {Hasegawa, Yuji and PRESTO, Japan Science and Technology Agency and Rauch, Helmut},
abstractNote = {Neutron optical experiments are presented, which exhibit quantum contextual phenomena. Entanglement is achieved not between particles, but between degrees of freedom, in this case, for a single-particle. Appropriate combinations of the direction of spin analysis and the position of the phase shifter allow an experimental verification of the violation of a Bell-like inequality. Our experiments manifest the fact that manipulation of the wavefunction in one Hilbert space influences the result of the measurement in the other Hilbert space: manipulation without touch{exclamation_point} Next, we report another experiment which exhibits other peculiarity of quantum contextuality, e.g., originally intended to show a Kochen-Specker-like phenomenon. We have introduced inequalities for quantitative analysis of the experiments. The value obtained in the experiments clearly showed violations of prediction by non-contextual theory. Finally, we have accomplished a tomographic determination of entangled quantum state in single-neutrons. There, characteristics of the Bell-sate are confirmed: four poles for the real part of the density matrix are clearly seen.},
doi = {10.1063/1.2158717},
journal = {AIP Conference Proceedings},
issn = {0094-243X},
number = 1,
volume = 810,
place = {United States},
year = {2006},
month = {1}
}