Heisenberg's Uncertainty Relation and Bell Inequalities in High Energy Physics

Autor(en)
Antonio Di Domenico, Andreas Gabriel, Beatrix Hiesmayr, Florian Hipp, Marcus Huber, Gerd Krizek, Karoline Mühlbacher, Sasa Radic, Christoph Spengler, Lukas Theussl
Abstrakt

An effective formalism is developed to handle decaying two-state systems. Herewith, observables of such systems can be described by a single operator in the Heisenberg picture. This allows for using the usual framework in quantum information theory and, hence, to enlighten the quantum features of such systems compared to non-decaying systems. We apply it to systems in high energy physics, i.e. to oscillating meson-antimeson systems. In particular, we discuss the entropic Heisenberg uncertainty relation for observables measured at different times at accelerator facilities including the effect of CP violation, i.e. the imbalance of matter and antimatter. An operator-form of Bell inequalities for systems in high energy physics is presented, i.e. a Bell-witness operator, which allows for simple analysis of unstable systems.

Organisation(en)
Teilchenphysik, Quantenoptik, Quantennanophysik und Quanteninformation
Externe Organisation(en)
Università degli Studi di Roma La Sapienza, Slovenian Academy of Sciences and Arts
Journal
Foundations of Physics
Band
42
Seiten
778-802
Anzahl der Seiten
25
ISSN
0015-9018
DOI
https://doi.org/10.1007/s10701-011-9575-y
Publikationsdatum
2012
Peer-reviewed
Ja
ÖFOS 2012
103034 Teilchenphysik
Link zum Portal
https://ucrisportal.univie.ac.at/de/publications/heisenbergs-uncertainty-relation-and-bell-inequalities-in-high-energy-physics(bf4eaac3-e290-4325-a273-f5a3b23dae19).html