Heisenberg's Uncertainty Relation and Bell Inequalities in High Energy Physics An effective formalism for unstable two-state systems

被引：20

作者：

Di Domenico, Antonio ^{[2
,3
]}

Gabriel, Andreas ^{[1
]}

Hiesmayr, Beatrix C. ^{[1
,4
]}

Hipp, Florian ^{[1
]}

Huber, Marcus ^{[1
]}

Krizek, Gerd ^{[1
]}

Muehlbacher, Karoline ^{[1
]}

Radic, Sasa ^{[1
]}

Spengler, Christoph ^{[1
]}

Theussl, Lukas ^{[4
]}

机构：

[1] Univ Vienna, Fac Phys, A-1090 Vienna, Austria

[2] Univ Rome, I-00185 Rome, Italy

[3] Ist Nazl Fis Nucl, Sez Roma, Rome, Italy

[4] Slovak Acad Sci, Inst Phys, Res Ctr Quantum Informat, Bratislava 84511, Slovakia

来源：

FOUNDATIONS OF PHYSICS | 2012年 / 42卷 / 06期

关键词：

Meson-antimeson systems; Bell inequalities; Heisenberg's uncertainty relation; Entropy; NEUTRAL-KAON SYSTEM; QUANTUM-MECHANICS; CPT SYMMETRY; VIOLATION; TESTS; OSCILLATIONS; MESONS;

D O I：

10.1007/s10701-011-9575-y

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

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.

引用

页码：778 / 802

页数：25

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