Emergence of Intra-Particle Entanglement and Time-Varying Violation of Bell's Inequality in Dirac Matter

• URL: http://arxiv.org/abs/2007.01584v2
• Date: Sat, 1 Aug 2020 15:21:58 GMT
• Title: Emergence of Intra-Particle Entanglement and Time-Varying Violation of Bell's Inequality in Dirac Matter
• Authors: Bruna Gabrielly de Moraes, Aron W. Cummings, and Stephan Roche
• Abstract summary: We show the emergence and dynamics of intra-particle entanglement in Dirac fermions. The entanglement is a complex dynamic quantity but is generally large, independent of the initial state. These features are also expected to impact entanglement between pairs of particles, and may be detectable in experiments that combine Cooper pair splitting with nonlocal measurements of spin-spin correlation in mesoscopic devices based on Dirac materials.
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• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: We demonstrate the emergence and dynamics of intra-particle entanglement in massless Dirac fermions. This entanglement, generated by spin-orbit coupling, arises between the spin and sublattice pseudospin of electrons in graphene. The entanglement is a complex dynamic quantity but is generally large, independent of the initial state. Its time dependence implies a dynamical violation of a Bell inequality, while its magnitude indicates that large intra-particle entanglement is a general feature of graphene on a substrate. These features are also expected to impact entanglement between pairs of particles, and may be detectable in experiments that combine Cooper pair splitting with nonlocal measurements of spin-spin correlation in mesoscopic devices based on Dirac materials.

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