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Physics of Particles and Nuclei Letters

Classicality Test in Neutral $$B_{s}^{0}{\kern 1pt} \bar {B}_{s}^{0}$$ Pairs

A. Yu. Efimova, N. Nikitin

Published Jun 1, 2023• 0 citations
Publisher

Abstract

In this paper we discuss the possibility of classicality experimental verification at $$B$$ -factories. We show that for three moments of time it is possible to observe violations of Wigner’s inequalities, even with the 50% fraction of background processes.

DOI
10.1134/s1547477123030263

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Classicality Test in Neutral Bs0Bˉs0B_{s}^{0}{\kern 1pt} \bar {B}_{s}^{0}Bs0​Bˉs0​ Pairs
In this paper we discuss the possibility of classicality experimental verification at BBB -factories. We show that for three moments of time it is possible to observe violations of Wigner’s inequalities, even with the 50% fraction of background processes.
In this study, we introduce the concept of Classicality and derive Wigner inequalities that depend on two instants, with a potential extension to three instants. We explore the experimental feasibility of testing the violations of these inequalities in both pure and mixed flavor states of K0K^0K0-, D0D^0D0-, and BsB_sBs​- meson pairs. Using the Werner noise model, we demonstrate that violations of time-dependent Wigner inequalities can be detected even when background processes constitute up to 50% of the system.
In this work we have formulated the Classicality concept. Using this concept theWigner inequalities which are dependent on three moments of time are obtained. The possibility of experimental tests of violations of these inequalities on the pure and mixed flavor states of 𝐾0-, 𝐷0- and 𝐵𝑠-meson pairs is investigated. In the framework of the Werner background model, it is shown that the violation of Wigner time-dependent inequalities can be observed even with 50% fraction of background processes.
The classicality concept is formulated. It is used to derive Wigner inequalities dependent on three instants. The possibility of testing experimentally violations of these inequalities in pure and mixed flavor states of a pair of neutral pseudoscalar mesons is studied. Within the Werner background model, it is shown that a violation of time-dependent Wigner inequalities may be observed even at a 50 %\%% fraction of background processes.
In this study, we introduce the concept of classicality and derive Wigner inequalities that depend on two instants, with a potential extension to three instants. We explore the experimental feasibility of testing the violations of these inequalities in both pure and mixed flavor states of ${K}^{0}\ensuremath{-}$, D0{D}^{0}D0-, and Bs{B}_{s}Bs​- meson pairs. Using the Werner noise model, we demonstrate that violations of time-dependent Wigner inequalities can be detected even when background processes constitute up to 50% of the system.
Recently a new class of time-dependent Bell inequalities in Wigner form was introduced. The structure of the inequalities allows experimental studies of quantum and open quantum systems in external fields. In this paper, we study the properties of the time-dependent Wigner inequalities using the time evolution of neutral pseudoscalar mesons with CPCPCP-violation effects taken into account. It is shown that it is always possible to find a range of parameters to test for violation in an experimentally accessible area. The effect of the relaxation of the inequalities for large time scales is demonstrated.