Abstract
The neutral kaon doublet is one of the most intriguing systems in nature. En- tangled pairs of neutral K mesons produced in ϕ -meson decays offer a unique possibility to perform important tests of fundamental discrete symmetries as well as of basic principles of quantum mechanics.This paper will focus on a novel method to perform direct T and CPT symmetry tests exploiting the Einstein-Podolsky-Rosen correlations of neutral kaon pairs produced at a ϕ -factory. The statistical significance of the test achievable with the KLOE-2 experiment at DAΦNE, the Frascati ϕ -factory, is also briefly discussed.
Highlights
Entanglement and its consequences - in particular the violation of Bell inequalities, which defies our concepts of realism and locality [1] - have been proven to play a key role in Nature by many experiments for various quantum systems
It’s worth mentioning that - surprisingly - CP violation in this case turns out to be a key ingredient to make the inequality violated by Quantum Mechanics
CPT invariance is ensured by the CPT theorem in the context of any local quantum field theory with Lorentz invariance and Hermiticity, as in the Standard Model. It has been confirmed by all present experimental tests, in the neutral kaon system where strong limits have been set to a variety of possible CPT violation effects which might arose in a quantum gravity framework [4,5,6]
Summary
Entanglement and its consequences - in particular the violation of Bell inequalities, which defies our concepts of realism and locality [1] - have been proven to play a key role in Nature by many experiments for various quantum systems. It has been confirmed by all present experimental tests, in the neutral kaon system where strong limits have been set to a variety of possible CPT violation effects which might arose in a quantum gravity framework [4,5,6].
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