Numerical computation of dynamical Schwinger-like pair production in graphene
Abstract
The density of electron-hole pairs produced in a graphene sample immersed in a homogeneous time-dependent electrical field is evaluated. Because low energy charge carriers in graphene are described by relativistic quantum mechanics, the calculation is performed within the strong field quantum electrodynamics formalism, requiring a solution of the Dirac equation in momentum space. The latter is solved using a split-operator numerical scheme on parallel computers, allowing for the investigation of several field configurations. The strength of the method is illustrated by computing the electron momentum density generated from a realistic laser pulse model. We observe quantum interference patterns reminiscent of Landau-Zener-St\"{u}ckelberg interferometry.
Keywords
Cite
@article{arxiv.1607.03062,
title = {Numerical computation of dynamical Schwinger-like pair production in graphene},
author = {F. Fillion-Gourdeau and P. Blain and D. Gagnon and C. Lefebvre and S. MacLean},
journal= {arXiv preprint arXiv:1607.03062},
year = {2017}
}
Comments
5 pages, 1 figure, contribution to the Workshop Proceedings of the International Workshop SFP-2016: Strong Field Problems in Quantum Theory, Tomsk, Russia, June 6-11, 2016