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Graphene has been recently reported to have a damage threshold high enough to allow for the interaction with ultrashort laser pulses of intensities above 1013 W/cm2. It is natural to explore if this situation to what extend the laser pulse is able to induce the highly non-linear dynamics that gives rise to high harmonic generation. We perform the exact numerical integration of the set of coupled two-level equations that describe the valence-to-conduction band transitions by a laser pulse, at any point in the reciprocal space. We analyze the dynamics of the excitation to the conduction band, and the spectra of the harmonics produced. We show that harmonic radiation is produced by interband as well as intraband transitions, these later resulting from parametric oscillation. We also analyze the temporal characteristics of the harmonic emission.
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Óscar Zurrón, Jose Manuel Iglesias, Raúl Rengel, María Jesús Martín, Luis Plaja, "High harmonic generation in graphene: temporal and spectral properties," Proc. SPIE 10102, Ultrafast Phenomena and Nanophotonics XXI, 101021U (23 February 2017); https://doi.org/10.1117/12.2263583