The Entropic Uncertainty Principle for Decaying Systems and CP violation

Details The Entropic Uncertainty Principle for Decaying Systems and CP violation The Entropic Uncertainty Principle for Decaying Systems and CP violation

2011-03-17

arxiv.org/abs/1103.3388v1

Physics

High Energy Physics

High Energy Physics - Phenomenology

8 pages, 5 figures. To appear in the proceedings of the "Symposium on Prospects in the Physics of Discrete Symmetries", 6-11 D

Scientific paper

Employing an effective formalism for decaying system we are able to investigate Heisenberg's uncertainty relation for observables measured at accelerator facilities. In particular we investigate the neutral K--meson system and show that, firstly, due to the time evolution an uncertainty between strangeness measurements at different times is introduced and, secondly, due to the imbalance of matter and antimatter (CP violation) an uncertainty in the evolution of the eigenstates of the effective Hamiltonian of the system. Consequently, the existence of CP violation is linked to uncertainties of observables, i.e. the outcomes cannot be predicted even in principle to arbitrary precisions.

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