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arXiv:hep-ph/0012139

On Possibility of Decoherence in Correlated two Neutral Kaon Systems

Fumiyo Uchiyama

Published Dec 13, 2000• 0 citations
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Abstract

We point out that decoherence parameters in the correlated two neutral kaon system breaks the transformation invariance of basis and their magnitude are stringently limited by the experimentally measured magnitudes of CP violation and of the strangeness non conserving $ΔS = \pm 2$ transitions.

DOI
10.48550/arxiv.hep-ph/0012139

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We point out that decoherence parameters in the correlated two neutral kaon system breaks the transformation invariance of basis and their magnitude are stringently limited by the experimentally measured magnitudes of CP violation and of the strangeness non conserving ΔS=±2ΔS = \pm 2ΔS=±2 transitions.
The neutral kaon system offers a unique possibility to perform fundamental tests of CPT invariance, as well as of the basic principles of quantum mechanics. The most recent limits on several kinds of possible CPT violation and decoherence mechanisms, which in some cases might be justified in a quantum gravity framework, are reviewed, including the latest results obtained by the KLOE experiment at the DAΦNE e + e - collider. No deviation from the expectations of quantum mechanics and CPT symmetry is observed, while the precision of the measurements, in some cases, reaches the interesting Planck scale region.
The time evolution of the KK system as a two-qubit system is given. The effect which is interpreted as CP violation in neutral kaon decays is explained via violation of quantum correlations during time evolution of the KK system as two-kaons system and description is via Yang-Baxterization and unitary time dependent R-matrices to con- struct Hamiltonian, determining the time evolution of two-kaons sys- tem. The nonseparability ideas and criterion can be extended on all mixing state-antistate system and all CP violation cases in particle physics.
We formulate a set of Bell's inequalities for the system of two correlated neutral kaons coming from the decay of a \ensuremath{\varphi} meson, without assuming CP\mathrm{CP}CP and CPT\mathrm{CPT}CPT invariance. We show that a nonvanishing value of the phenomenological parameter ${\mathrm{\ensuremath{\varepsilon}}}^{\ensuremath{'}}$ would violate such inequalities, ruling out Bell's locality.
The neutral kaon system offers a unique possibility to perform fundamental tests of CPT invariance, as well as of the basic principles of quantum mechanics. The most recent limits obtained by the KLOE experiment at the DAΦNE e + e − collider on several kinds of possible CPT violation and decoherence mechanisms, which in some cases might be justified in a quantum gravity framework, are reviewed. No deviation from the expectations of quantum mechanics and CPT symmetry is observed, while the precision of the measurements, in some cases, reaches the interesting Planck scale region. Finally, prospects for this kind of experimental studies at KLOE-2 are presented.