| ABSTRACT: |
Particle physics has become an interesting testing ground for
fundamental questions of quantum mechanics (QM). The entangled massive
meson-antimeson systems are specially suitable as they offer a unique
laboratory to test various aspects of particle physics (CP violation,
CPT violation,กฤ) as well to test the foundations of QM (local realistic
theories versus QM, Bell inequalities, decoherence effects, กฤ).
In this talk we focus on decoherence effects by studying the time evolution of the entangled meson-antimeson systems by considering the Liouville-von Neuman equation with an additional term which allows for decoherence. We will compare this model of decoherence with experimental data. For the neutral kaon system we can derive an upper bound via data of the CPLEAR experiment performed at Cern. However, for the neutral B-meson system there are currently investigations of the HEPHY group in
Vienna to analyze the data of the BELLE-experiment of the KEK-B
accelerator in Japan, which should provide us with a much better bound
and test of the model.
Our model can also be discussed in the light of different measures of
entanglement, i.e. von Neumann entropy, entanglement of formation, and concurrence. A remarkably simple relation of these mathematically
motivated measures and the decoherence parameter accessable by
experimental data was found. In this way the very basic mathematical and
theoretical concepts about entanglement can be confronted directly with
experiments.
These decoherence models can also be tested for entangled photon systems
and single neutrons in an interferometer. |
