Investigation of properties of time-dependent bell inequalities in Wigner’s form for nonstationary and open quantum systems
- Moscow State University, Faculty of Physics (Russian Federation)
- The University of New Mexico, Department of Physics and Astronomy (United States)
A radically new class of Bell inequalities in Wigner’s form was obtained on the basis of Kolmorov’s axiomatization of probability theory and the hypothesis of locality. These inequalities take explicitly into account the dependence on time (time-dependent Bell inequalities in Wigner’s form). By using these inequalities, one can propose a means for experimentally testing Bohr’ complementarity principle in the relativistic region. The inequalities in question open broad possibilities for studying correlations of nonrelativistic and relativistic quantum systems in external fields. The violation of the time-dependent inequalities in quantum mechanics was studied by considering the behavior of a pair of anticorrelated spins in a constant external magnetic field and oscillations of neutral pseudoscalar mesons. The decay of a pseudoscalar particle to a fermion–antifermion pair is considered within quantum field theory. In order to test experimentally the inequalities proposed in the present study, it is not necessary to perform dedicated noninvasive measurements required in the Leggett–Garg approach, for example.
- OSTI ID:
- 22472095
- Journal Information:
- Physics of Atomic Nuclei, Vol. 78, Issue 7; Other Information: Copyright (c) 2015 Pleiades Publishing, Ltd.; Country of input: International Atomic Energy Agency (IAEA); ISSN 1063-7788
- Country of Publication:
- United States
- Language:
- English
Similar Records
Wigner's inequalities in quantum field theory
Violation of the Leggett-Garg Inequality in Neutrino Oscillations