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Recent work has shown how single-particle entangled states are transformedwhen boosted in relativistic frames for certain restricted geometries. Here weextend that work to consider completely general inertial boosts. We then applyour single particle results to multiparticle entanglements by focussing onCooper pairs of electrons. We show that a standard Cooper pair state consistingof a spin-singlet acquires spin-triplet components in a relativisticallyboosted inertial frame, regardless of the geometry. We also show that, if westart with a spin-triplet pair, two out of the three triplet states acquire asinglet component, the size of which depends on the geometry. Thistransformation between the different singlet and triplet superconducting pairsmay lead to a better understanding of unconventional superconductivity.

Behaviour of entanglement and Cooper pairs under relativistic boosts