Entangled Light in Moving Frames

Physics – Quantum Physics

Scientific paper

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4 pages and 3 figures. Minor corrections, footnote on optimal basis states

Scientific paper

10.1103/PhysRevA.68.042102

We calculate the entanglement between a pair of polarization-entangled photon beams as a function of the reference frame, in a fully relativistic framework. We find the transformation law for helicity basis states and show that, while it is frequency independent, a Lorentz transformation on a momentum-helicity eigenstate produces a momentum-dependent phase. This phase leads to changes in the reduced polarization density matrix, such that entanglement is either decreased or increased, depending on the boost direction, the rapidity, and the spread of the beam.

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