论文标题
量子学的拓扑签名量子动力学及其相互关系
Signatures of topology in quantum quench dynamics and their interrelation
论文作者
论文摘要
由于量子系统的最新实验进步的驱动，我们研究了量子淬灭后相干时间进化中拓扑的几个动力学特征之间的关系。具体而言，我们研究了纠缠光谱交叉，动力学量子相变和动态Chern数的条件。对于非交互模型，我们表明这三个数量之间没有直接的关系。取而代之的是，我们将纠缠频谱中的水平穿越的存在与局部边界模式联系起来，而在常规意义上可能不是拓扑起源的局部边界模式。最后，我们研究了相互作用如何通过时间依赖性密度矩阵重新归一化组模拟来影响纠缠光谱交叉和动态量子相变的存在。
Motivated by recent experimental progress in the study of quantum systems far from equilibrium, we investigate the relation between several dynamical signatures of topology in the coherent time-evolution after a quantum quench. Specifically, we study the conditions for the appearance of entanglement spectrum crossings, dynamical quantum phase transitions, and dynamical Chern numbers. For non-interacting models, we show that in general there is no direct relation between these three quantities. Instead, we relate the presence of level crossings in the entanglement spectrum to localized boundary modes that may not be of topological origin in the conventional sense. Finally, we investigate how interactions influence the presence of entanglement spectrum crossings and dynamical quantum phase transitions, by means of time-dependent density matrix renormalization group simulations.
