Engineering quantum phases using light is a novel route to designing functional materials, where light-induced superconductivity is a successful example. Although this phenomenon has been realized experimentally, especially for the high-$T_c$ cuprates, the underlying mechanism remains mysterious. Using the recently developed variational non-Gaussian exact diagonalization method, we investigate a particular type of photoenhanced superconductivity by suppressing a competing charge order in a strongly correlated electron-electron and electron-phonon system. We find that the $d$-wave superconductivity pairing correlation can be enhanced by a pulsed laser, consistent with recent experiments based on gap characterizations. However, we also find that the pairing correlation length is heavily suppressed by the pump pulse, indicating that light-enhanced superconductivity may be of fluctuating nature. Our findings also imply a general behavior of nonequilibrium states with competing orders, beyond the description of a mean-field framework.

中文翻译：

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光增强波超导性的波动性质：时间相关变分非高斯精确对角化研究

使用光设计量子相是设计功能材料的新途径，其中光诱导超导是一个成功的例子。虽然这种现象已经通过实验实现，特别是对于高${吨}_C$铜酸盐，潜在的机制仍然是神秘的。使用最近开发的变分非高斯精确对角化方法，我们通过抑制强相关电子 - 电子和电子 - 声子系统中的竞争电荷顺序来研究特定类型的光增强超导性。我们发现$d$脉冲激光可以增强波超导配对相关性，这与最近基于间隙表征的实验一致。然而，我们还发现配对相关长度被泵浦脉冲严重抑制，表明光增强超导性可能具有波动性。我们的发现还暗示了具有竞争顺序的非平衡状态的一般行为，超出了平均场框架的描述。