Quantum Helicity Entropy of Moving Bodies

Abstract

Lorentz transformation of the reduced helicity density matrix for a massive spin 1/2 particle is investigated in the framework of relativistic quantum information theory for the first time. The corresponding helicity entropy is calculated, which shows no invariant meaning as that of spin. The variation of the helicity entropy with the relative speed of motion of inertial observers, however, differs significantly from that of spin due to their distinct transformation behaviors under the action of Lorentz group. This novel and odd behavior unique to the helicity may be readily detected by high energy physics experiments. The underlying physical explanations are also discussed.

version to appear in Journal of Physics A as a Fast Track Communication

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Cited by in corpus (13)

• Relative entropy in scattering and the S-matrix bootstrap
• Relativistic effect of entanglement in fermion-fermion scattering
• Einstein-Podolsky-Rosen correlations of vector bosons
• Variation of entanglement entropy and mutual information in fermion-fermion scattering
• Helicity correlations of vector bosons
• Relativistic massive particle with spin-1/2, a vector bundle point of view
• Complete complementarity relations in curved spacetimes
• Entanglement Entropy: Helicity versus Spin
• Genuine multipartite entanglement and quantum coherence in an electron-positron system: Relativistic covariance
• Single particle entanglement in the mid-and ultra-relativistic regime
• The von Neumann Entropy of EPR Spin Correlation for the Relativistic Pairs
• Helicity Entanglement of Moving Bodies
• Bundle Theoretic Descriptions of Massive Single-Particle State Spaces; With a view toward Relativistic Quantum Information Theory