Mean spin entanglement of two massive Dirac particles under Lorentz transformations

Abstract

We have studied the relativistic effects on the mean spin entanglement of two massive Dirac particles using the simultaneous eigen-spinors of the Foldy-Woutheysen mean spin operator and the Dirac Hamiltonian. We have obtained the transformation matrix from the spinor with specific momentum to the spinor with a transformed momentum under an arbitrary Lorentz transformation. Using the transformation matrix we have shown the consistent monotonic behavior between the concurrence and the maximum value of Bell parameter in Bell inequality of transformed spin states.

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• Spin Operator and Entanglement in Quantum Field Theory
• Effects of Lorentz boosts on Dirac bispinor entanglement
• Quantum discord and entropic measures of two relativistic fermions
• Genuine multipartite entanglement and quantum coherence in an electron-positron system: Relativistic covariance
• Lorentz Invariant Quantum Concurrence for SU(2) x SU(2) spin-parity states
• Lorentz-covariance of Position Operator and its Eigenstates for a massive spin $1/2$ field
• Information under Lorentz transformation