The Entropic Uncertainty Principle for Decaying Systems and CP violation

Author(s)
Beatrix Hiesmayr
Abstract

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.

Organisation(s)
Particle Physics
No. of pages
8
DOI
https://doi.org/10.1088/1742-6596/335/1/012057
Publication date
2011
Austrian Fields of Science 2012
103034 Particle physics
Portal url
https://ucris.univie.ac.at/portal/en/publications/the-entropic-uncertainty-principle-for-decaying-systems-and-cp-violation(1bbded1a-2a99-46f9-89f3-290e90493d45).html