The nonlocal property of quantum mechanics can be nicely tested in high energy physics; in particular, the neutral kaon pairs as produced at DA $Φ$ NE, Frascati, are very well suited. The analogies of kaons as compared to polarized photons or spin--1/2 particles --the kaonic qubit feature-- are reviewed. However, there are also fundamental differences which occur due to the kaon time evolution and due to internal symmetries; in particular, the violation of CP symmetry is related to the violation of Bell inequalities. Two type of Bell inequalities for kaons are presented, one for the variation of the ``quasi--spin'' and the other for different detection times of the kaon.The nonlocal property of quantum mechanics can be nicely tested in high energy physics; in particular, the neutral kaon pairs as produced at DA$Φ$NE, Frascati, are very well suited. The analogies of kaons as compared to polarized photons or spin--1/2 particles --the kaonic qubit feature-- are reviewed. However, there are also fundamental differences which occur due to the kaon time evolution and due to internal symmetries; in particular, the violation of CP symmetry is related to the violation of Bell inequalities. Two type of Bell inequalities for kaons are presented, one for the variation of the ``quasi--spin'' and the other for different detection times of the kaon.

arXiv:hep-ph/0609251Frascati Phys.Ser.Sep 25, 200634 citations

Completely positive dynamical maps and the neutral kaon system

Fabio Benatti, Roberto Floreanini B

Nuclear Physics BMar 1, 199776 citations

Expressing CP Violation in Terms of Bargmann Invariants and Geometric Phases in Kaon Decays and Baryogenesis

Swarup Sangiri

We studied the CP violating phases in the neutral kaon oscillations and decays in the effective field theory of kaons, without going into the quark level, and connected the CP violating parameters to the Bargmann invariants and hence to the geometric phases. We extended this approach to demonstrate how the CP violating parameters appearing in the process of baryogenesis are related to the Bargmann invariants, and hence with the geometric phases of those systems. We then concluded on the applications of such a generalized treatment of CP violating phases.We studied the CP violating phases in the neutral kaon oscillations and decays in the effective field theory of kaons, without going into the quark level, and connected the CP violating parameters to the Bargmann invariants and hence to the geometric phases. We extended this approach to demonstrate how the CP violating parameters appearing in the process of baryogenesis are related to the Bargmann invariants, and hence with the geometric phases of those systems. We then concluded on the applications of such a generalized treatment of CP violating phases.

International Conference on High Energy Physics (ICHEP)Dec 17, 20240 citations

The nonlocal property of quantum mechanics can be nicely tested in high energy physics; in particular, the neutral kaon pairs as produced at DA

Φ

NE, Frascati, are very well suited. The analogies of kaons as compared to polarized photons or spin--1/2 particles --the kaonic qubit feature-- are reviewed. However, there are also fundamental differences which occur due to the kaon time evolution and due to internal symmetries; in particular, the violation of CP symmetry is related to the violation of Bell inequalities. Two type of Bell inequalities for kaons are presented, one for the variation of the ``quasi--spin'' and the other for different detection times of the kaon.