论文标题
通过变形和同步稳定二维量子疤痕
Stabilizing two-dimensional quantum scars by deformation and synchronization
论文作者
论文摘要
放松对热状态是没有特殊保护法的非平衡相互作用量子系统的不可避免的命运。虽然一维（1D）系统中的热化通常可以通过集成性机制来抑制，但由于相位空间的增加，预期在两个空间尺寸中，热化的热量将更加有效。在这项工作中，我们提出了一个通用框架，用于通过量子疤痕的机制在二维（2D）阵列中逃脱或延迟热状态的出现，即最初未能热化的状态。抑制热化以两种互补的方式实现：通过添加局部扰动或根据晶格的局部连接来调整驱动狂犬病频率。我们证明，这些机制允许在各种二维晶格中实现强大的量子疤痕，包括具有非恒定连通性的装饰晶格。特别是，我们表明，晶格角处的狂犬病频率的少量降低对于减轻二维系统中的强边界效应至关重要。我们的结果将同步确定为对二维量子疤痕实验的重要工具。
Relaxation to a thermal state is the inevitable fate of non-equilibrium interacting quantum systems without special conservation laws. While thermalization in one-dimensional (1D) systems can often be suppressed by integrability mechanisms, in two spatial dimensions thermalization is expected to be far more effective due to the increased phase space. In this work we propose a general framework for escaping or delaying the emergence of the thermal state in two-dimensional (2D) arrays of Rydberg atoms via the mechanism of quantum scars, i.e. initial states that fail to thermalize. The suppression of thermalization is achieved in two complementary ways: by adding local perturbations or by adjusting the driving Rabi frequency according to the local connectivity of the lattice. We demonstrate that these mechanisms allow to realize robust quantum scars in various two-dimensional lattices, including decorated lattices with non-constant connectivity. In particular, we show that a small decrease of the Rabi frequency at the corners of the lattice is crucial for mitigating the strong boundary effects in two-dimensional systems. Our results identify synchronization as an important tool for future experiments on two-dimensional quantum scars.
