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, Slovenská akadémia vied

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