论文标题
疾病增强了希尔伯特晶体中的量子多体疤痕
Disorder enhanced quantum many-body scars in Hilbert crystals
论文作者
论文摘要
我们认为，在促进位置障碍的瑞德伯格链中产生的模型，其具有希尔伯特空间，其拓扑为$ d $维二等超立方体。这允许以希尔伯特空间上的单个粒子为角度对多体动力学进行直接解释，并在多体和单个粒子疤痕之间提供明确的联系。利用这一观点，我们表明，突破性障碍会增强疤痕，然后由于特征状态在大型疾病限制中的强烈定位而抑制动力学。接下来，将模型映射到Spin-1/2 XX Heisenberg链条上，对最近提出的Onsager Scars [Prl $ {\ bf 124} $，180604（2020）]提供了一个简单的几何视角，可以与Hilbert Space边缘的Scars一起识别。这显然是它们对某些类型的疾病扰动的不敏感的起源。
We consider a model arising in facilitated Rydberg chains with positional disorder which features a Hilbert space with the topology of a $d$-dimensional hypercube. This allows for a straightforward interpretation of the many-body dynamics in terms of a single particle one on the Hilbert space and provides an explicit link between the many-body and single particle scars. Exploiting this perspective, we show that an integrability-breaking disorder enhances the scars followed by inhibition of the dynamics due to strong localization of the eigenstates in the large disorder limit. Next, mapping the model to the spin-1/2 XX Heisenberg chain offers a simple geometrical perspective on the recently proposed Onsager scars [PRL ${\bf 124}$, 180604 (2020)], which can be identified with the scars on the edge of the Hilbert space. This makes apparent the origin of their insensitivity to certain types of disorder perturbations.
