Using dynamical Hartree-Fock mean-field theory, we study the high harmonic generation (HHG) in the fullerene molecules ${\mathrm{C}}_{60}$ and ${\mathrm{C}}_{70}$ under strong pump wave driving. We consider a strong-field regime and show that the output harmonic radiation exhibits multiple plateaus, whose borders are defined by the molecular excitonic lines and cutoff energies within each plateau scale linearly with the field strength amplitude. In contrast to atomic cases for the fullerene molecule, with the increase of the pump wave photon energy the cutoff harmonic energy is increased. We also show that with the increase of the electron-electron interaction energy overall the HHG rate is suppressed. We demonstrate that the ${\mathrm{C}}_{70}$ molecule shows richer HHG spectra and a stronger high harmonic intensity than the ${\mathrm{C}}_{60}$.

中文翻译：

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富勒烯分子中的高次谐波产生

使用动态 Hartree-Fock 平均场理论，我们研究了富勒烯分子中的高次谐波生成 (HHG) ${\mathrm{C}}_{60}$ 和 ${\mathrm{C}}_{70}$在强泵波驱动下。我们考虑强场制度，并表明输出谐波辐射表现出多个平台，其边界由分子激子线和每个平台尺度内的截止能量与场强幅度线性定义。与富勒烯分子的原子情况相反，随着泵浦波光子能量的增加，截止谐波能量增加。我们还表明，随着电子 - 电子相互作用能总体上的增加，HHG 率受到抑制。我们证明${\mathrm{C}}_{70}$ 分子显示出更丰富的 HHG 光谱和更强的高次谐波强度 ${\mathrm{C}}_{60}$.