论文标题
定期驱动的费米子链中的污pr裂
Prethermal fragmentation in a periodically driven Fermionic chain
论文作者
论文摘要
我们研究了一个带有最近邻居跳跃和密度密度相互作用的费米子链，在该链中定期驱动最近的邻居相互作用项。我们表明，这种驱动的链条在特定驱动频率下的高驱动振幅示例中表现出预先强的Hilbert空间碎片（HSF）$ω_m^{\ ast} $。这构成了HSF的首次实现，用于均衡系统。我们使用Floquet扰动理论获得了$ω_m^{\ ast} $的分析表达式，并提供了纠缠熵，相等相关函数以及有限链的费米的密度自相关的精确数值计算。所有这些数量表明强大的HSF明确特征。我们研究了HSF的命运，因为它远离$ω_m^{\ ast} $，并讨论驱动器振幅的函数prethermal制度的程度。
We study a Fermionic chain with nearest-neighbor hopping and density-density interactions, where the nearest-neighbor interaction term is driven periodically. We show that such a driven chain exhibits prethermal strong Hilbert space fragmentation (HSF) in the high drive amplitude regime at specific drive frequencies $ω_m^{\ast}$. This constitutes the first realization of HSF for out-of-equilibrium systems. We obtain analytic expressions of $ω_m^{\ast}$ using a Floquet perturbation theory and provide exact numerical computation of entanglement entropy, equal-time correlation functions, and the density autocorrelation of Fermions for finite chains. All of these quantities indicate clear signatures of strong HSF. We study the fate of the HSF as one tunes away from $ω_m^{\ast}$ and discuss the extent of the prethermal regime as a function of the drive amplitude.
