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Doubly assisted Sauter-Schwinger effect

Greger Torgrimsson, Johannes Oertel, and Ralf Schützhold

  • Fakultät für Physik, Universität Duisburg-Essen, Lotharstraße 1, Duisburg 47048, Germany

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Phys. Rev. D 94, 065035 – Published 26 September, 2016

DOI: https://doi.org/10.1103/PhysRevD.94.065035

Abstract

We study electron-positron pair creation by a strong and slowly varying electric field, assisted by a weaker and more rapidly changing field (e.g., in the keV regime) plus an additional high-energy (say MeV) photon. It turns out that this combination can yield a pair creation probability which is exponentially larger than in the case where one (or more) of the three ingredients is missing. Apart from a deeper understanding of these nonperturbative phenomena, this double enhancement may pave the way for an experimental verification of this fundamental prediction.

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References (42)

  1. F. Sauter, Über das Verhalten eines Elektrons im homogenen elektrischen Feld nach der relativistischen Theorie Diracs, Z. Phys. 69, 742 (1931).
  2. W. Heisenberg and H. Euler, Consequences of Dirac’s theory of positrons, Z. Phys. 98, 714 (1936).
  3. J. S. Schwinger, On gauge invariance and vacuum polarization, Phys. Rev. 82, 664 (1951).
  4. N. B. Narozhny, S. S. Bulanov, V. D. Mur, and V. S. Popov, On e+ e− pair production by a focused laser pulse in vacuum, Phys. Lett. A 330, 1 (2004).
  5. R. Schützhold, H. Gies, and G. Dunne, Dynamically Assisted Schwinger Mechanism, Phys. Rev. Lett. 101, 130404 (2008).
  6. M. Orthaber, F. Hebenstreit, and R. Alkofer, Momentum spectra for dynamically assisted Schwinger pair production, Phys. Lett. B 698, 80 (2011).
  7. A. Otto, D. Seipt, D. Blaschke, S. A. Smolyansky, and B. Kämpfer, Dynamical Schwinger process in a bifrequent electric field of finite duration: survey on amplification, Phys. Rev. D 91, 105018 (2015).
  8. G. V. Dunne, H. Gies, and R. Schützhold, Catalysis of Schwinger vacuum pair production, Phys. Rev. D 80, 111301 (2009).
  9. T. Nousch, D. Seipt, B. Kämpfer, and A. I. Titov, Spectral caustics in laser assisted Breit–Wheeler process, Phys. Lett. B 755, 162 (2016).
  10. A. Otto, T. Nousch, D. Seipt, B. Kämpfer, D. Blaschke, A. D. Panferov, S. A. Smolyansky, and A. I. Titov, Pair production by Schwinger and Breit-Wheeler processes in bi-frequent fields, J. Plasma Phys. 82, 655820301 (2016).
  11. A. Di Piazza, E. Lötstedt, A. I. Milstein, and C. H. Keitel, Barrier Control in Tunneling e+−e− Photoproduction, Phys. Rev. Lett. 103, 170403 (2009).
  12. S. S. Bulanov, V. D. Mur, N. B. Narozhny, J. Nees, and V. S. Popov, Multiple Colliding Electromagnetic Pulses: A Way to Lower the Threshold of e+e− Pair Production from Vacuum, Phys. Rev. Lett. 104, 220404 (2010).

  13. Note that the doubly assisted Sauter-Schwinger effect is qualitatively and kinematically quite different from other phenomena such as the assisted Breit-Wheeler processes as studied in [9, 10], for example. The interaction of a high-energy photon with a field of the form (2) or (16) is very different from the interaction of a high-energy photon with a counter-propagating plane wave, even if this wave is decomposed of two or more frequencies [9, 10]. For example, electrons and positrons under the influence of the plane wave alone can be described by Volkov solutions and there is no pair creation (no Sauter-Schwinger effect) without the high-energy photon. Consistently, one cannot associate a Lorentz invariant measure to the field strength or the frequency of a plane wave and thus the threshold behavior found for the (doubly) assisted Sauter-Schwinger effect cannot occur.

  14. A. Wöllert, M. Klaiber, H. Bauke, and C. H. Keitel, Relativistic tunneling picture of electron-positron pair creation, Phys. Rev. D 91, 065022 (2015).
  15. A. M. Fedotov and A. A. Mironov, Pair creation by collision of an intense laser pulse with a high-frequency photon beam, Phys. Rev. A 88, 062110 (2013).
  16. A. Di Piazza, Analytical tools for investigating strong-field QED processes in tightly focused laser fields, Phys. Rev. A 91, 042118 (2015).
  17. G. Torgrimsson et al. (in preparation).
  18. M. F. Linder, C. Schneider, J. Sicking, N. Szpak, and R. Schützhold, Pulse shape dependence in the dynamically assisted Sauter-Schwinger effect, Phys. Rev. D 92, 085009 (2015).
  19. A. I. Nikishov and V. I. Ritus, Quantum Processes in the Field of a Plane Electromagnetic Wave and in a Constant Field 1, Sov. Phys. JETP 19, 529 (1964).
  20. V. S. Popov, Pair production in a variable and homogeneous electric field as an oscillator problem, Sov. Phys. JETP 35, 659 (1972).
  21. G. V. Dunne and T. M. Hall, Borel summation of the derivative expansion and effective actions, Phys. Rev. D 60, 065002 (1999).
  22. G. V. Dunne and C. Schubert, Worldline instantons and pair production in inhomogeneous fields, Phys. Rev. D 72, 105004 (2005).
  23. I. K. Affleck, O. Alvarez, and N. S. Manton, Pair production at strong coupling in weak external fields, Nucl. Phys. B197, 509 (1982).
  24. G. V. Dunne, Q. h. Wang, H. Gies, and C. Schubert, Worldline instantons. II. The fluctuation prefactor, Phys. Rev. D 73, 065028 (2006).
  25. G. V. Dunne and Q. h. Wang, Multidimensional worldline instantons, Phys. Rev. D 74, 065015 (2006).
  26. X. Bai-Song, M. Melike, and D. Sayipjamal, Electron-positron pair production in an elliptic polarized time varying field, Chin. Phys. Lett. 29, 021102 (2012).
  27. A. Ilderton, G. Torgrimsson, and J. Wårdh, Nonperturbative pair production in interpolating fields, Phys. Rev. D 92, 065001 (2015).
  28. P. Copinger and K. Fukushima, Spatially Assisted Schwinger Mechanism and Magnetic Catalysis, Phys. Rev. Lett. 117, 081603 (2016).
  29. C. Schneider and R. Schützhold, Dynamically assisted Sauter-Schwinger effect in inhomogeneous electric fields, J. High Energy Phys. 02 (2016) 164.
  30. C. K. Dumlu, Multidimensional quantum tunneling in the Schwinger effect, Phys. Rev. D 93, 065045 (2016).
  31. A. Ilderton, Localisation in worldline pair production and lightfront zero-modes, J. High Energy Phys. 09 (2014) 166.

  32. In [31] the worldline formalism was used to obtain the exact pair production probability for a large class of fields.

  33. A. Monin and M. B. Voloshin, Semiclassical calculation of photon-stimulated Schwinger pair creation, Phys. Rev. D 81, 085014 (2010).
  34. P. Satunin, Width of photon decay in a magnetic field: Elementary semiclassical derivation and sensitivity to Lorentz violation, Phys. Rev. D 87, 105015 (2013).
  35. C. Schubert, Vacuum polarization tensors in constant electromagnetic fields. Part 1., Nucl. Phys. B585, 407 (2000).
  36. C. Schubert, Perturbative quantum field theory in the string inspired formalism, Phys. Rep. 355, 73 (2001).
  37. H. Gies and L. Roessler, Vacuum polarization tensor in inhomogeneous magnetic fields, Phys. Rev. D 84, 065035 (2011).

  38. The worldline representation (14) was evaluated numerically with Monte Carlo techniques in [37] to study the phase velocity shift in inhomogeneous magnetic fields, and exactly in [39] for vacuum birefringence in plane wave backgrounds.

  39. A. Ilderton and G. Torgrimsson, Worldline approach to helicity flip in plane waves, Phys. Rev. D 93, 085006 (2016).
  40. V. Dinu, T. Heinzl, A. Ilderton, M. Marklund, and G. Torgrimsson, Vacuum refractive indices and helicity flip in strong-field QED, Phys. Rev. D 89, 125003 (2014).
  41. S. Meuren, K. Z. Hatsagortsyan, C. H. Keitel, and A. Di Piazza, Polarization operator approach to pair creation in short laser pulses, Phys. Rev. D 91, 013009 (2015).
  42. C. Bamber et al., Studies of nonlinear QED in collisions of 46.6-GeV electrons with intense laser pulses, Phys. Rev. D 60, 092004 (1999).

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Phys. Rev. D 94, 065035– Published 26 September, 2016
  • Received 5 August 2016

© 2016 American Physical Society

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