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  • Open Access

Quantum entanglement correlations in double quark PDFs

Adrian Dumitru* and Eric Kolbusz†

  • *Contact author: adrian.dumitru@baruch.cuny.edu
  • †Contact author: ekolbusz@gradcenter.cuny.edu
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Phys. Rev. D 111, 114033 – Published 25 June, 2025

DOI: https://doi.org/10.1103/ngdx-pc85

Abstract

Methods from Quantum Information Theory are used to scrutinize quantum correlations encoded in the two-quark density matrix over light-cone momentum fractions x1 and x2. A nonperturbative three quark model light-cone wavefunction predicts significant nonclassical correlations associated with the “entanglement negativity” measure for asymmetric and small quark momentum fractions. We perform one step of QCD scale evolution of the entire density matrix, not just its diagonal (dPDF), by computing collinearly divergent corrections due to the emission of a gluon. Finally, we present first qualitative numerical results for single-step scale evolution of quantum entanglement correlations in double quark PDFs. At a higher Q2 scale, the nonclassical correlations manifest in the dPDF for nearly symmetric momentum fractions.

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Phys. Rev. D 111, 114033– Published 25 June, 2025
  • Received 28 January 2025
  • Accepted 29 May 2025
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Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article’s title, journal citation, and DOI. Funded by SCOAP3.

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