Dynamics of momentum entanglement in lowest-order QED

L. Lamata, J. León, and E. Solano
Phys. Rev. A 73, 012335 – Published 24 January 2006

Abstract

We study the dynamics of momentum entanglement generated in the lowest-order QED interaction between two massive spin12 charged particles, which grows in time as the two fermions exchange virtual photons. We observe that the degree of generated entanglement between interacting particles with initial well-defined momentum can be infinite. We explain this divergence in the context of entanglement theory for continuous variables, and show how to circumvent this apparent paradox. Finally, we discuss two different possibilities of transforming momentum into spin entanglement, through dynamical operations or through Lorentz boosts.

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  • Received 7 September 2005

DOI:https://doi.org/10.1103/PhysRevA.73.012335

©2006 American Physical Society

Authors & Affiliations

L. Lamata1,2,*, J. León1,†, and E. Solano2,3,‡

  • 1Instituto de Matemáticas y Física Fundamental, CSIC, Serrano 113-bis, 28006 Madrid, Spain
  • 2Max-Planck-Institut für Quantenoptik, Hans-Kopfermann-Strasse 1, D-85748 Garching, Germany
  • 3Sección Física, Departamento de Ciencias, Pontificia Universidad Católica del Perú, Apartado Postal 1761, Lima, Peru

  • *Electronic address: lamata@imaff.cfmac.csic.es
  • Electronic address: leon@imaff.cfmac.csic.es
  • Electronic address: enrique.solano@mpq.mpg.de

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Vol. 73, Iss. 1 — January 2006

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