论文标题
平板多体定位的非热动力学
Non-thermalized Dynamics of Flat-Band Many-Body Localization
论文作者
论文摘要
我们发现，具有相互作用和没有疾病的平坦频带费米式系统表现出非热的细分性破坏动力学，这是多体定位（MBL）的类似物。在先前的作品中，我们观察到Creutz梯子模型中的平坦体型多体定位（FMBL）。 FMBL的起源是由局部运动积分（LIOMS）控制的紧凑局部状态，该状态应明确获得。在这项工作中，我们阐明了FMBL的动态方面。我们首先研究了两粒子的动力学，发现状态不是通过弱相互作用来实质性的，而是由于系统固有的特定机制而产生的纠缠熵的周期性演变。另一方面，随着相互作用的强度增加，状态的修饰发生在引起lioms的不稳定的情况下进行。此外，通过时间不断变化的块拆卸（TEBD）方法，在数值上研究了系统在有限填充物处的多体动力学。为了选择填充，出现非热和低纠缠动力学的选择。这种行为是无序FMBL的典型例子。
We find that a flat-band fermion system with interactions and without disorders exhibits non-thermalized ergodicity-breaking dynamics, an analog of many-body localization (MBL). In the previous works, we observed flat-band many-body localization (FMBL) in the Creutz ladder model. The origin of FMBL is a compact localized state governed by local integrals of motion (LIOMs), which are to be obtained explicitly. In this work, we clarify the dynamical aspects of FMBL. We first study dynamics of two-particles, and find that the states are not substantially modified by weak interactions, but the periodic time evolution of entanglement entropy emerges as a result of a specific mechanism inherent in the system. On the other hand, as the strength of the interactions is increased, the modification of the states takes place with inducing instability of the LIOMs. Furthermore, many-body dynamics of the system at finite fillings is numerically investigated by time-evolving block decimation (TEBD) method. For a suitable choice of the filling, non-thermal and low entangled dynamics appears. This behavior is a typical example of the disorder-free FMBL.
