Behaviour of entanglement and Cooper pairs under relativistic boosts

TL;DR

This paper investigates how entanglement and Cooper pair states transform under relativistic boosts, revealing that relativistic effects can alter the spin states of electron pairs, impacting superconductivity theories.

Contribution

It extends previous work on relativistic entanglement to general inertial boosts and applies these results to Cooper pairs, showing state transformations relevant to superconductivity.

Findings

A spin-singlet Cooper pair acquires triplet components under relativistic boosts.

Certain triplet states gain singlet components depending on geometry.

Transformations may influence understanding of unconventional superconductivity.

Abstract

Recent work has shown how single-particle entangled states are transformed when boosted in relativistic frames for certain restricted geometries. Here we extend that work to consider completely general inertial boosts. We then apply our single particle results to multiparticle entanglements by focussing on Cooper pairs of electrons. We show that a standard Cooper pair state consisting of a spin-singlet acquires spin-triplet components in a relativistically boosted inertial frame, regardless of the geometry. We also show that, if we start with a spin-triplet pair, two out of the three triplet states acquire a singlet component, the size of which depends on the geometry. This transformation between the different singlet and triplet superconducting pairs may lead to a better understanding of unconventional superconductivity.