Heisenberg's Uncertainty Relation and Bell Inequalities in High Energy Physics
- Author(s)
- Antonio Di Domenico, Andreas Gabriel, Beatrix Hiesmayr, Florian Hipp, Marcus Huber, Gerd Krizek, Karoline Mühlbacher, Sasa Radic, Christoph Spengler, Lukas Theussl
- Abstract
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(s)
- Particle Physics, Quantum Optics, Quantum Nanophysics and Quantum Information
- External organisation(s)
- Sapienza University of Rome, Slovenian Academy of Sciences and Arts (SASA), Universität Wien
- Journal
- Foundations of Physics
- Volume
- 42
- Pages
- 778-802
- No. of pages
- 25
- ISSN
- 0015-9018
- DOI
- https://doi.org/10.1007/s10701-011-9575-y
- Publication date
- 2012
- Peer reviewed
- Yes
- Austrian Fields of Science 2012
- 103034 Particle physics
- Portal url
- https://ucris.univie.ac.at/portal/en/publications/heisenbergs-uncertainty-relation-and-bell-inequalities-in-high-energy-physics(bf4eaac3-e290-4325-a273-f5a3b23dae19).html