参量放大的电子-声子超导理论
The theory of parametrically amplified electron-phonon superconductivity
摘要：
强关联材料中有序相的超快光学操纵是一个具有重要理论、实验和技术意义的课题。受最近关于富勒烯中光诱导超导性的实验的启发[Mitrano等人，Nature 530，2016]，我们发展了一个全面的理论，在具有晶格非线性的驱动电子-声子系统中光诱导超导性。在类比与参量放大器的操作，我们展示了如何外部驱动和晶格非线性之间的相互作用，导致显着增强有效的电子-声子耦合。我们提供了一个详细的和公正的研究的非平衡动力学的驱动系统使用实时格林函数技术。为此，我们开发了一个Floquet推广的Migdal-Eliashberg理论，并推导出一组数值上易于处理的量子Floquet-Boltzmann动力学方程的耦合电子-声子系统。我们研究了参量声子产生和电子加热在破坏瞬态超导态中的作用。最后，我们预测的瞬态形成的电子Floquet带的时间和角度分辨的光发射光谱实验的结果所提出的机制。
英文摘要：
The ultrafast optical manipulation of ordered phases in strongly correlated materials is a topic of significant theoretical, experimental, and technological interest. Inspired by a recent experiment on light-induced superconductivity in fullerenes [Mitrano et al., Nature 530, 2016], we develop a comprehensive theory of light-induced superconductivity in driven electron-phonon systems with lattice nonlinearities. In analogy with the operation of parametric amplifiers, we show how the interplay between the external drive and lattice nonlinearities lead to significantly enhanced effective electron-phonon couplings. We provide a detailed and unbiased study of the nonequilibrium dynamics of the driven system using the real-time Green's function technique. To this end, we develop a Floquet generalization of the Migdal-Eliashberg theory and derive a numerically tractable set of quantum Floquet-Boltzmann kinetic equations for the coupled electron-phonon system. We study the role of parametric phonon generation and electronic heating in destroying the transient superconducting state. Finally, we predict the transient formation of electronic Floquet bands in time- and angle-resolved photo-emission spectroscopy experiments as a consequence of the proposed mechanism.
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