Anomalous transport in the kinetically constrained quantum East-West model,Physical Review B

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Anomalous transport in the kinetically constrained quantum East-West model
Physical Review B ( IF 3.2 ) Pub Date : 2024-09-11 , DOI: 10.1103/physrevb.110.l100304
Pietro Brighi ₁ , Marko Ljubotina ₂

Affiliation

We study a chaotic particle-conserving kinetically constrained model, with a single parameter which allows us to break reflection symmetry. Through extensive numerical simulations we find that the domain wall state shows a variety of dynamical behaviors from localization all the way to ballistic transport, depending on the value of the reflection breaking parameter. Surprisingly, such anomalous behavior is not mirrored in infinite-temperature dynamics, which appear to scale diffusively, in line with expectations for generic interacting models. However, studying the particle density gradient, we show that the lack of reflection symmetry affects infinite-temperature dynamics, resulting in an asymmetric dynamical structure factor. This is in disagreement with normal diffusion and suggests that the model may also exhibit anomalous dynamics at infinite temperature in the thermodynamic limit. Finally, we observe low-entangled eigenstates in the spectrum of the model, a telltale sign of quantum many-body scars.

中文翻译：

动力学约束量子东西方模型中的反常输运

我们研究了一种混沌粒子守恒动力学约束模型，该模型具有单个参数，可以让我们打破反射对称性。通过大量的数值模拟，我们发现畴壁状态表现出从局域化一直到弹道输运的各种动力学行为，具体取决于反射破坏参数的值。令人惊讶的是，这种异常行为并没有反映在无限温度动力学中，无限温度动力学似乎是扩散缩放的，这与通用相互作用模型的预期一致。然而，通过研究粒子密度梯度，我们发现反射对称性的缺乏会影响无限温度动力学，导致不对称的动力学结构因子。这与正常扩散不一致，表明该模型也可能在热力学极限的无限温度下表现出异常动力学。最后，我们在模型的光谱中观察到低纠缠本征态，这是量子多体疤痕的明显标志。

更新日期：2024-09-11

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