论文标题
在短距离横向场ISING模型的瞬态淬灭动力学中的动力跨界
Dynamical crossover in the transient quench dynamics of short-range transverse field Ising models
论文作者
论文摘要
从理论和实验的角度来看，具有实验方便初始状态的淬灭系统中量子相和相变（QPT）的动态检测是一个有趣的话题。从极化状态淬灭后，纵向磁化因短程横向场ISING模型（TFIM）的时间呈指数型衰变，因此具有无特征的稳态稳态状态，可防止其表现出ITYPE-I类型的动力学相变。在本文中，我们询问通过单位可观察物（即每个位置的磁化）探测的这种非平衡过程的瞬态状态是否可以编码有关基础QPT的信息。时间依赖性和单位点可观察到的衰减速率表现出动力跨界，该动力学分离了两个动态区域，有序和无序，两者都有不同的非平衡响应。我们构建了一个动力学阶参数量的数量，该数量在交叉附近表现出缩放定律。我们的结果表明，在动态交叉的近距离附近，在短时间内规模法定指数与长期分析理论预测的规模显着不同。当集成性被强损坏时，交叉边界将变成一个区域，该区域将其他两个动态区域分开，这些区域的作用像动态有序的和订购的方案。
Dynamical detection of quantum phases and phase transitions (QPT) in quenched systems with experimentally convenient initial states is a topic of interest from both theoretical and experimental perspectives. Quenched from polarized states, longitudinal magnetization decays exponentially to zero in time for the short-range transverse-field Ising model (TFIM) and hence, has a featureless steady state regime, which prevents it from exhibiting dynamical phase transitions of type-I. In this paper, we ask whether the transient regimes of such non-equilibrium processes probed by single-site observables, that is magnetization per site, could encode information about the underlying QPT. The decay rates of time-dependent and single-site observables exhibit a dynamical crossover that separates two dynamical regions, ordered and disordered, both of which have distinct nonequilibrium responses. We construct a dynamical order parameterlike quantity that exhibits a scaling law at the vicinity of the crossover. Our results reveal that scaling law exponent in short times at the close vicinity of the dynamical crossover is significantly different than the one predicted by analytical theory for long times. When integrability is strongly broken, the crossover boundary turns into a region that separates two other dynamical regions that act like dynamically-ordered and -disordered regimes.
