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Pulse shape optimization for electron-positron production in rotating fields

François Fillion-Gourdeau1,2,*, Florian Hebenstreit3,†, Denis Gagnon1,2,‡, and Steve MacLean1,2,§

  • 1Université du Québec, INRS-Énergie, Matériaux et Télécommunications, Varennes, Québec J3X 1S2, Canada
  • 2Institute for Quantum Computing, University of Waterloo, Waterloo, Ontario N2L 3G1, Canada
  • 3Albert Einstein Center for Fundamental Physics, Institut für Theoretische Physik, Universität Bern, 3012 Bern, Switzerland

  • *francois.fillion@emt.inrs.ca
  • hebenstreit@itp.unibe.ch
  • denis.gagnon@emt.inrs.ca
  • §steve.maclean@emt.inrs.ca

Phys. Rev. D 96, 016012 – Published 24 July, 2017

DOI: https://doi.org/10.1103/PhysRevD.96.016012

Abstract

We optimize the pulse shape and polarization of time-dependent electric fields to maximize the production of electron-positron pairs via strong field quantum electrodynamics processes. The pulse is parametrized in Fourier space by a B-spline polynomial basis, which results in a relatively low-dimensional parameter space while still allowing for a large number of electric field modes. The optimization is performed by using a parallel implementation of the differential evolution, one of the most efficient metaheuristic algorithms. The computational performance of the numerical method and the results on pair production are compared with a local multistart optimization algorithm. These techniques allow us to determine the pulse shape and field polarization that maximize the number of produced pairs in computationally accessible regimes.

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