For the Fermi-Hubbard model in the strongly interacting Mott insulator state, we study the prethermalization dynamics after a quench (switching on the hopping rate). To this end, we employ the method of the hierarchy of correlations and compare different levels of accuracy. To leading order, the usual free quasiparticle dynamics (as encoded in the two-point correlation functions) yields the standard picture of prethermalization. Taking into account the back-reaction of these quasiparticle fluctuations onto the mean-field background as the first next-to-leading-order effect, we observe a strong degradation of prethermalization, especially in low dimensions. In contrast, the inclusion of three-point correlations enhances prethermalization.

中文翻译：

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莫特-哈伯德系统中预热的反反应和相关效应

对于强相互作用莫特绝缘体状态下的费米-哈伯德模型，我们研究了淬火后的预热化动力学（打开跳跃率）。为此，我们采用相关性层次的方法并比较不同级别的准确性。对于主序，通常的自由准粒子动力学（如两点相关函数中编码的那样）产生预热化的标准图像。考虑到这些准粒子波动对平均场背景的反作用作为第一个次前导效应，我们观察到预热化的强烈退化，特别是在低维度中。相反，包含三点相关性增强了预热。