Lorentz-invariant mass and entanglement of biphoton states

Abstract

The concept of the Lorentz-invariant mass of a group of particles is shown to be applicable to biphoton states formed in the process of spontaneous parametric down conversion. The conditions are found when the Lorentz-invariant mass is related directly with (proportional to) the Schmidt parameter K 1 determining a high degree of entanglement of a biphoton state with respect to transverse wave vectors of emitted photons.

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