Unitarity and vacuum deformation in QED with critical potential steps

S. P. Gavrilov, D. M. Gitman, and A. A. Shishmarev
Phys. Rev. D 93, 105040 – Published 25 May 2016

Abstract

The present article can be considered as a complement to the work of Phys. Rev. D 93, 045002 (2016), where an nonperturbative approach to QED with x-electric critical potential steps was developed. In the beginning, we study conditions when in and out spaces of the QED under consideration are unitarily equivalent. Then, we construct a general density operator with the vacuum initial condition. Such an operator describes a deformation of the initial vacuum state by x-electric critical potential steps. We construct reductions of the deformed state to electron and positron subsystems, calculating the loss of the information in these reductions. We illustrate the general consideration studying the deformation of the quantum vacuum between two capacitor plates. Finally, we calculate the entanglement measures of these reduced matrices as von Neumann entropies.

  • Received 22 March 2016

DOI:https://doi.org/10.1103/PhysRevD.93.105040

© 2016 American Physical Society

Physics Subject Headings (PhySH)

Particles & Fields

Authors & Affiliations

S. P. Gavrilov1,2,*, D. M. Gitman1,3,4,†, and A. A. Shishmarev1,4,‡

  • 1Department of Physics, Tomsk State University, Tomsk 634050, Russia
  • 2Department of General and Experimental Physics, Herzen State Pedagogical University of Russia, Moyka embankment 48, 191186 St. Petersburg, Russia
  • 3P.N. Lebedev Physical Institute, 53 Leninsky prospekt, 119991 Moscow, Russia
  • 4Institute of Physics, University of São Paulo, CP 66318, CEP 05315-970 São Paulo, SP, Brazil

  • *gavrilovsergeyp@yahoo.com
  • gitman@if.usp.br
  • a.a.shishmarev@mail.ru

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Issue

Vol. 93, Iss. 10 — 15 May 2016

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