Behaviour of entanglement and Cooper pairs under relativistic boosts

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.

5 pages, 2 figures

References in corpus (5)

• Quantum Entanglement of Moving Bodies
• Nonlocality of a single particle
• Einstein-Podolsky-Rosen correlations of Dirac particles - quantum field theory approach
• Relativistic-invariant quantum entanglement between the spins of moving bodies
• Detecting mode entanglement: The role of coherent states, superselection rules and particle statistics

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• Phase-space elementary information content of confined Dirac spinors
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• Appearance of Odd-Frequency Superconductivity in a Relativistic Scenario
• One and two spin$-1/2$ particles systems under Lorentz transformations
• Transformation properties and entanglement of relativistic qubits under space-time and gauge transformations