标题： 倾斜费米-哈伯德链中的弗洛凯量子多体疤痕 显示英文标题

标题： Floquet quantum many-body scars in the tilted Fermi-Hubbard chain

摘要： 一维倾斜的周期驱动费米-哈伯德链是量子多体物理研究中的一个范例，尤其是在固态系统中。 我们揭示了弗洛凯疤痕态的出现，这是一种违背随机热化的量子多体疤痕（QMBS）态。 其背后的物理机制被确定为这些可以通过一次跃迁过程连接的简并福克基之间的弗洛凯共振。 这是第一阶跃迁微扰效应。 利用简并的弗洛凯微扰理论，我们推导出奇异QMBS态出现的精确条件。 还研究了量子复兴和次谐波响应等现象。 这些结果为调节和设计固态量子多体系统以实现非遍历性提供了可能性。 显示英文摘要

摘要： The one-dimensional tilted, periodically driven Fermi-Hubbard chain is a paradigm in the study of quantum many-body physics, particularly for solid-state systems. We uncover the emergence of Floquet scarring states, a class of quantum many-body scarring (QMBS) states that defy random thermalization. The underlying physical mechanism is identified to be the Floquet resonances between these degenerate Fock bases that can be connected by one hopping process. It is the first-order hopping perturbation effect. Utilizing the degenerate Floquet perturbation theory, we derive the exact conditions under which the exotic QMBS states emerge. Phenomena such as quantum revivals and subharmonic responses are also studied. Those results open the possibility of modulating and engineering solid-state quantum many-body systems to achieve nonergodicity.