论文标题
复杂性和浮力动力学：非平衡相变
Complexity and Floquet dynamics: non-equilibrium Ising phase transitions
论文作者
论文摘要
我们使用Nielsen的几何方法研究了定期驱动的横向场模型的时间依赖性电路复杂性。在高频驾驶极限中，该系统已知会表现出受驱动场振幅控制的非平衡相变。我们通过分析计算该制度的复杂性，并表明它清楚地区分了不同阶段，在早期表现出了普遍的线性行为。我们还评估了时间平均复杂性，提供了关键点上非分析行为的证据，并讨论了其起源。最后，我们对特定配置的量子动力学的冻结以及使用复杂性作为了解floquet系统中量子相变的新工具的冻结。
We study the time-dependent circuit complexity of the periodically driven transverse field Ising model using Nielsen's geometric approach. In the high-frequency driving limit the system is known to exhibit non-equilibrium phase transitions governed by the amplitude of the driving field. We analytically compute the complexity in this regime and show that it clearly distinguishes between the different phases, exhibiting a universal linear behavior at early times. We also evaluate the time averaged complexity, provide evidence of non-analytic behavior at the critical points, and discuss its origin. Finally, we comment on the freezing of quantum dynamics at specific configurations and on the use of complexity as a new tool to understand quantum phase transitions in Floquet systems.
