具有两级运动积分Rabi振荡的准周期系统的猝灭动力学
Quench dynamics of quasi-periodic systems exhibiting Rabi oscillations of two-level integrals of motion
摘要：
无序量子系统中的定域运动积分（或l比特）的难以捉摸的性质是它们一些最突出的特征的核心，即涌现可积性和缺乏热化。本文研究了准周期势场中无自旋相互作用费米子的一维定域-离域跃迁模型的猝灭动力学。从一个未纠缠的初始状态，我们表明，在强无序制度的一个重要的子集的$l$位可以明确地确定与强本地化的两级系统，与粒子限制在两个晶格站点。这种子系统的存在，形成一个合奏的近自由的l-比特被发现占主导地位的实验相关的数量，如Loschirt回声和粒子不平衡的短时间动态。我们调查的初始状态的选择的重要性，通过开发第二个淬火协议，从基态的模型在不同的初始无序强度和监测淬火动力学接近微妙的ETH-MBL过渡制度。
英文摘要：
The elusive nature of localized integrals of motion (or l-bits) in disordered quantum systems lies at the core of some of their most prominent features, i.e. emergent integrability and lack of thermalization. Here, we study the quench dynamics of a one-dimensional model of spinless interacting fermions in a quasi-periodic potential with a localization-delocalization transition. Starting from an unentangled initial state, we show that in the strong disorder regime an important subset of the $l$-bits can be explicitly identified with strongly localized two-level systems, associated with particles confined on two lattice sites. The existence of such subsystems forming an ensemble of nearly free l-bits is found to dominate the short-time dynamics of experimentally relevant quantities, such as the Loschmidt echo and the particle imbalance. We investigate the importance of the choice of the initial state by developing a second quench protocol, starting from the ground-state of the model at different initial disorder strengths and monitoring the quench dynamics close to the delicate ETH-MBL transition regime.
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