Proposal for experimental test of the time-dependent Wigner inequalities for neutral pseudoscalar meson systems

TL;DR

This paper proposes an experimental approach to test time-dependent Wigner inequalities using neutral pseudoscalar mesons, highlighting their violation potential and effects over large time scales.

Contribution

It introduces a method to experimentally test time-dependent Wigner inequalities in meson systems, expanding the scope of quantum inequality verification.

Findings

Possible violation of inequalities within accessible parameters

Relaxation effects observed at large time scales

Framework for experimental validation of quantum inequalities

Abstract

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. 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.