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. in [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 two radio-frequency (rf) fields. 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\sqrt{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\sqrt2 for all settings of the geometric phase.
Cite
@article{arxiv.0907.4909,
title = {Geometric Phase in Entangled Systems: A Single-Neutron Interferometer Experiment},
author = {S. Sponar and J. Klepp and R. Loidl and S. Filipp and K. Durstberger-Rennhofer and R. A. Bertlmann and G. Badurek and Y. Hasegawa and H. Rauch},
journal= {arXiv preprint arXiv:0907.4909},
year = {2015}
}
Comments
10 pages 9 figures