Entanglement of two relativistic particles with discrete momenta

Abstract

We study the structure of maps that Lorentz boosts induce on the spin degree of freedom of a system consisting of two massive spin-$1/2$ particles. We consider the case where the spin state is described by the Werner state and the momenta are discrete. Transformations on the spins are systematically investigated in various boost scenarios by calculating the orbit and concurrence of the bipartite spin state with different kinds of product and entangled momenta. We confirm the general conclusion that Lorentz boosts cause non-trivial behavior of bipartite spin entanglement. Visualization of the evolution of the spin state is shown to be valuable in explaining the pattern of concurrence. The idealized model provides a basis of explanation in terms of which phenomena in systems involving continuous momenta can be understood.

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• Relativistic entanglement of two particles driven by continuous product momenta
• Preservation of quantum coherence under Lorentz boost for narrow uncertainty wave packets
• Interferometric Visibility in Curved Spacetimes
• Thomas--Wigner rotation as a holonomy for spin-$1/2$ particles
• Proposal for an experiment to verify Wigner's rotation at non-relativistic speeds with massive spin-$1/2$ particles