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Title: Geometric phase in entangled systems: A single-neutron interferometer experiment

Abstract

The influence of the geometric phase on a Bell measurement, as proposed by Bertlmann et al. [Phys. Rev. A 69, 032112 (2004)] and expressed by the Clauser-Horne-Shimony-Holt (CHSH) inequality, has been observed for a spin-path-entangled neutron state in an interferometric setup. It is experimentally demonstrated that the effect of geometric phase can be balanced by a change in Bell angles. The geometric phase is acquired during a time-dependent interaction with a radiofrequency field. Two schemes, polar and azimuthal adjustment of the Bell angles, are realized and analyzed in detail. The former scheme yields a sinusoidal oscillation of the correlation function S, dependent on the geometric phase, such that it varies in the range between 2 and 2{radical}(2) and therefore always exceeds the boundary value 2 between quantum mechanic and noncontextual theories. The latter scheme results in a constant, maximal violation of the Bell-like CHSH inequality, where S remains 2{radical}(2) for all settings of the geometric phase.

Authors:
; ; ; ; ;  [1];  [2];  [3];  [1];  [4]
  1. Atominstitut der Oesterreichischen Universitaeten, A-1020 Vienna (Austria)
  2. Department of Physics, Eidgenoessische Technische Hochschule Zuerich, Schafmattstrasse 16, CH-8093 Zurich (Switzerland)
  3. Faculty of Physics, University of Vienna, Boltzmanngasse 5, A-1090 Vienna (Austria)
  4. (France)
Publication Date:
OSTI Identifier:
21408563
Resource Type:
Journal Article
Journal Name:
Physical Review. A
Additional Journal Information:
Journal Volume: 81; Journal Issue: 4; Other Information: DOI: 10.1103/PhysRevA.81.042113; (c) 2010 The American Physical Society; Journal ID: ISSN 1050-2947
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; CORRELATION FUNCTIONS; GEOMETRY; INTERACTIONS; INTERFEROMETERS; NEUTRONS; OSCILLATIONS; QUANTUM ENTANGLEMENT; RADIOWAVE RADIATION; SPIN; TIME DEPENDENCE; ANGULAR MOMENTUM; BARYONS; ELECTROMAGNETIC RADIATION; ELEMENTARY PARTICLES; FERMIONS; FUNCTIONS; HADRONS; MATHEMATICS; MEASURING INSTRUMENTS; NUCLEONS; PARTICLE PROPERTIES; RADIATIONS

Citation Formats

Sponar, S., Klepp, J., Loidl, R., Durstberger-Rennhofer, K., Badurek, G., Hasegawa, Y., Filipp, S., Bertlmann, R. A., Rauch, H., and Institut Laue-Langevin, Boite Postale 156, F-38042 Grenoble CEDEX 9. Geometric phase in entangled systems: A single-neutron interferometer experiment. United States: N. p., 2010. Web. doi:10.1103/PHYSREVA.81.042113.
Sponar, S., Klepp, J., Loidl, R., Durstberger-Rennhofer, K., Badurek, G., Hasegawa, Y., Filipp, S., Bertlmann, R. A., Rauch, H., & Institut Laue-Langevin, Boite Postale 156, F-38042 Grenoble CEDEX 9. Geometric phase in entangled systems: A single-neutron interferometer experiment. United States. doi:10.1103/PHYSREVA.81.042113.
Sponar, S., Klepp, J., Loidl, R., Durstberger-Rennhofer, K., Badurek, G., Hasegawa, Y., Filipp, S., Bertlmann, R. A., Rauch, H., and Institut Laue-Langevin, Boite Postale 156, F-38042 Grenoble CEDEX 9. Thu . "Geometric phase in entangled systems: A single-neutron interferometer experiment". United States. doi:10.1103/PHYSREVA.81.042113.
@article{osti_21408563,
title = {Geometric phase in entangled systems: A single-neutron interferometer experiment},
author = {Sponar, S. and Klepp, J. and Loidl, R. and Durstberger-Rennhofer, K. and Badurek, G. and Hasegawa, Y. and Filipp, S. and Bertlmann, R. A. and Rauch, H. and Institut Laue-Langevin, Boite Postale 156, F-38042 Grenoble CEDEX 9},
abstractNote = {The influence of the geometric phase on a Bell measurement, as proposed by Bertlmann et al. [Phys. Rev. A 69, 032112 (2004)] and expressed by the Clauser-Horne-Shimony-Holt (CHSH) inequality, has been observed for a spin-path-entangled neutron state in an interferometric setup. It is experimentally demonstrated that the effect of geometric phase can be balanced by a change in Bell angles. The geometric phase is acquired during a time-dependent interaction with a radiofrequency field. Two schemes, polar and azimuthal adjustment of the Bell angles, are realized and analyzed in detail. The former scheme yields a sinusoidal oscillation of the correlation function S, dependent on the geometric phase, such that it varies in the range between 2 and 2{radical}(2) and therefore always exceeds the boundary value 2 between quantum mechanic and noncontextual theories. The latter scheme results in a constant, maximal violation of the Bell-like CHSH inequality, where S remains 2{radical}(2) for all settings of the geometric phase.},
doi = {10.1103/PHYSREVA.81.042113},
journal = {Physical Review. A},
issn = {1050-2947},
number = 4,
volume = 81,
place = {United States},
year = {2010},
month = {4}
}