论文标题
在量子层次模型中传播局部激发
Spreading of a local excitation in a Quantum Hierarchical Model
论文作者
论文摘要
我们在其顺磁性阶段研究量子dyson分层模型的动力学。考虑了通过局部激发顺磁基态产生的初始状态。我们为其时间演变提供了分析预测，从而解决了分层网络上的单粒子动力学。在任意时间发现了一种定位机制，激发保持接近其初始位置。此外，发现时空之间的通用缩放与相互作用的代数衰减有关，即$ r^{ - 1-σ} $。我们将我们的预测与数字进行比较，采用张量网络技术，用于大型磁场，讨论了整个多体动力学中机制的稳健性。
We study the dynamics of the quantum Dyson hierarchical model in its paramagnetic phase. An initial state made by a local excitation of the paramagnetic ground state is considered. We provide analytical predictions for its time evolution, solving the single-particle dynamics on a hierarchical network. A localization mechanism is found and the excitation remains close to its initial position at arbitrary times. Furthermore, a universal scaling among space and time is found related to the algebraic decay of the interactions as $r^{-1-σ}$. We compare our predictions to numerics, employing tensor network techniques, for large magnetic fields, discussing the robustness of the mechanism in the full many-body dynamics.
