Entanglement Entropy: Helicity versus Spin

Abstract

For a massive spin 1/2 field, we present the reduced spin and helicity density matrix, respectively, for the same pure one particle state. Their relation has also been developed. Furthermore, we calculate and compare the corresponding entanglement entropy for spin and helicity within the same inertial reference frame. Due to the distinct dependence on momentum degree of freedom between spin and helicity states, the resultant helicity entropy is different from that of spin in general. In particular, we find that both helicity entanglement for a spin eigenstate and spin entanglement for a right handed or left handed helicity state do not vanish and their Von Neumann entropy has no dependence on the specific form of momentum distribution as long as it is isotropic.

3 pages, title changed, typos corrected, version to appear in Int. J. Quant. Inf

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Cited by in corpus (8)

• The silence of binary Kerr
• Entanglement in flavored scalar scattering
• Spin operator in the Dirac theory
• Variation of entanglement entropy and mutual information in fermion-fermion scattering
• Helicity correlations of vector bosons
• Complete complementarity relations in curved spacetimes
• Single particle entanglement in the mid-and ultra-relativistic regime
• The von Neumann Entropy of EPR Spin Correlation for the Relativistic Pairs