How to test entanglement for meson-antimeson systems

Also in particle physics basic questions of quantum mechanics can be raised and the peculiar behavior of entanglement can be investigated, which is the basic ingredient for the future technologies such as quantum information and quantum communication. A Bell inequality - analogous to the entangled photon system - can be derived, however, the inequality is not violated because of the 'unfortunate' constants in these systems. However, these entangled meson-antimeson systems offer other properties - not analogous to other known spin-1/2 systems - which open new insights, e.g. that the violation of the CP symmetry is related to entanglement. Another approach to study entanglement is via decoherence models. New data from the B-meson factory of the KEKB collider in Japan (BELLE detector) or the new data from the K-meson factory of the DAPHNE machine in Italy can be used to get upper bounds on decoherence and to test/exclude different decoherence models. Surprisingly, it turns out that the parameter extracted from the experiments is in simple connections to mathematical and theoretical concepts which in this way are directly confronted with experimental data. (author)