Single particle entanglement of a massive relativistic particle: Dirac bispinors and spin 1/2 states

In this paper we study the single particle entanglement induced by a Lorentz boost. We described the particle as a solution of the free Dirac equation, a Dirac bispinor, and compare the induced momentum-spin entanglement with the result obtained in the widely considered framework of relativistic spi...

Full description

Saved in:
Bibliographic Details
Published in:Journal of physics. Conference series 2020-08, Vol.1612 (1), p.12003
Main Authors: Bittencourt, Victor A S V, Blasone, Massimo
Format: Article
Language:English
Subjects:
Dirac equation
Entanglement
Entropy
Momentum
Parity
Particle spin
Physics
Relativistic effects
Relativistic particles
Citations: Items that this one cites
Items that cite this one
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:In this paper we study the single particle entanglement induced by a Lorentz boost. We described the particle as a solution of the free Dirac equation, a Dirac bispinor, and compare the induced momentum-spin entanglement with the result obtained in the widely considered framework of relativistic spin 1/2 states. The spin linear entropy for both approaches agree in the ultra relativistic limit. We also verify that the spin-momentum entanglement differers from the spin entropy for the bispinorial case, indicating a true multipartite entanglement involving the degrees of freedom of a Dirac bispinor state: momentum, spin and intrinsic parity. The fact that Dirac bispinors belongs to an irreducible representation of the complete Lorentz group, which also included parity as a symmetry, is the ultimate reason behind such non-trivial structure.
ISSN:1742-6588
1742-6596
DOI:10.1088/1742-6596/1612/1/012003