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首页> 外文期刊>Physical Review X >Dynamical Freezing and Scar Points in Strongly Driven Floquet Matter: Resonance vs Emergent Conservation Laws
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Dynamical Freezing and Scar Points in Strongly Driven Floquet Matter: Resonance vs Emergent Conservation Laws

机译：强烈驱动的浮子物质的动态冻结和瘢痕点数：谐振与紧急保护法

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We consider a clean quantum system subject to strong periodic driving. The existence of a dominant energy scale, h D x , can generate considerable structure in an effective description of a system that, in the absence of the drive, is nonintegrable and interacting, and does not host localization. In particular, we uncover points of freezing in the space of drive parameters (frequency and amplitude). At those points, the dynamics is severely constrained due to the emergence of an almost exact, local conserved quantity, which scars the entire Floquet spectrum by preventing the system from heating up ergodically, starting from any generic state, even though it delocalizes over an appropriate subspace. At large drive frequencies, where a na?ve Magnus expansion would predict a vanishing effective (average) drive, we devise instead a strong-drive Magnus expansion in a moving frame. There, the emergent conservation law is reflected in the appearance of the “integrability” of an effective Hamiltonian. These results hold for a wide variety of Hamiltonians, including the Ising model in a transverse field in any dimension and for any form of Ising interaction. The phenomenon is also shown to be robust in the presence of two-body Heisenberg interactions with any arbitrary choice of couplings. Furthermore, we construct a real-time perturbation theory that captures resonance phenomena where the conservation breaks down, giving way to unbounded heating. This approach opens a window on the low-frequency regime where the Magnus expansion fails.
机译：我们考虑一个经过强烈的周期性驾驶的清洁量子系统。主导能量尺度H D X的存在可以在系统的有效描述中产生相当大的结构，在没有驱动器的情况下，不可抗性和交互，并且不托管本地化。特别地，我们发现在驱动参数（频率和幅度）的空间中冻结的点。在那些点，由于几乎精确，局部保守量的出现，动态受到了几乎精确的局部保守量的产生严重限制，该数量通过防止系统从任何通用状态从任何通用状态开始令人友好地升温而欺骗整个浮子谱，即使它通过适当的方式删除子空间。在大型驱动频率下，其中Na ve Magnus膨胀将预测消失的有效（平均）驱动器，我们在移动框架中设计了强大的摇摆物质膨胀。在那里，紧急的保护法反映在一个有效的汉密尔顿人的“可积泛性”的外观中。这些结果适用于各种汉密尔顿人，包括在任何维度的横向场中的诸如横向场中的ising模型以及任何形式的互动。该现象也显示出在与任何任意选择的联轴器的相互作用的存在下是稳健的。此外，我们建立一个实时扰动理论，捕获保护突破的共振现象，让位于无限的加热。此方法在低频状态下打开一个窗口，其中Magnus扩展失败。

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