New aspects of geometric phases in experiments with polarized neutrons

Author(s)
Stephan Sponar, Jürgen Klepp, Katharina Durstberger-Rennhofer, Rudolf Loidl, Stefan Filipp, Matthias Lettner, Reinhold Bertlmann, Gerald Badurek, Helmut Rauch, Yuji Hasegawa
Abstract

Geometric phase phenomena have been observed with single neutrons in polarimeter and interferometer experiments. Interacting with static and time-dependent magnetic fields, the state vectors acquire a geometric phase tied to the evolution within spin subspace. In a polarimeter experiment the non-additivity of quantum phases for mixed spin input states is observed. In a Si perfect-crystal interferometer experiment appearance of geometric phases, induced by interaction with an oscillating magnetic field, is verified. The total system is characterized by an entangled state, consisting of neutron and radiation fields, governed by a Jaynes-Cummings Hamiltonian. In addition, the influence of the geometric phase on a Bell measurement, expressed by the Clauser-Horne-Shimony-Holt (CHSH) inequality, is studied. It is demonstrated that the effect of the geometric phase can be balanced by an appropriate change of Bell angles.

Organisation(s)
Physics of Functional Materials, Particle Physics
External organisation(s)
Technische Universität Wien, Eidgenössische Technische Hochschule Zürich, Max-Planck-Institute of Quantum Optics
Journal
Journal of Physics A: Mathematical and Theoretical
Volume
43
No. of pages
15
ISSN
1751-8113
DOI
https://doi.org/10.1088/1751-8113/43/35/354015
Publication date
2010
Peer reviewed
Yes
Austrian Fields of Science 2012
103019 Mathematical physics
Portal url
https://ucrisportal.univie.ac.at/en/publications/new-aspects-of-geometric-phases-in-experiments-with-polarized-neutrons(bce02350-54cc-4861-a0f7-c112c56ffdc4).html