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

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 feature 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.

17 pages

References in corpus (10)

• Precise Measurements of Direct CP Violation, CPT Symmetry, and Other Parameters in the Neutral Kaon System
• Multipartite entangled states in particle mixing
• Nonlocality and entanglement in a strange system
• Dark energy and particle mixing
• A composite parameterization of unitary groups, density matrices and subspaces
• Non-classical correlations from dissociation time entanglement
• Quantum entanglement at the psi(3770) and Upsilon(4S)
• CPT and Quantum Mechanics Tests with Kaons
• A method for systematic construction of Bell-like inequalities and a proposal of a new type of test
• A new formalism for the estimation of the CP-violation parameters

Cited by in corpus (18)

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• A quantum information theoretic quantity sensitive to the neutrino mass-hierarchy
• Flavor entanglement in neutrino oscillations in the wave packet description
• Determinism, independence and objectivity are incompatible
• Particle mixing and the emergence of classicality: A spontaneous-collapse-model view
• Newtonian Self-Gravitation in the Neutral Meson System
• Single particle entanglement in the mid-and ultra-relativistic regime
• Partial Multipartite Entanglement in the Matrix Product State Formalism
• T violation and the Unidirectionality of Time: further details of the interference
• Observability of spontaneous collapse in flavor oscillations and its relation to the CP and CPT symmetries
• Unified treatment of the total angular momentum of single photons via generalized quantum observables
• Quantum speed of evolution of neutral mesons
• Device-Independent Test for Genuine Multipartite Entanglement
• Generalized Effective Operator Formalism for Decaying Systems
• The Entropic Uncertainty Principle for Decaying Systems and CP violation