Windt Bennet, Pichler Hannes
Institute for Quantum Optics and Quantum Information, Austrian Academy of Sciences, 6020 Innsbruck, Austria.
Blackett Laboratory, Imperial College London, Prince Consort Road, London SW7 2AZ, United Kingdom.
Phys Rev Lett. 2022 Mar 4;128(9):090606. doi: 10.1103/PhysRevLett.128.090606.
We develop an analytical approach for the description of quantum many-body scars in PXP models. We show that the scarred dynamics in the PXP model on a complete bipartite graph can be interpreted as a one-dimensional chiral scattering problem, and solve this problem analytically. The insights from this analysis allow us to predict that dynamical signatures of scars in PXP models can be enhanced by spin squeezing the initial states. We show numerically that this stabilization mechanism applies not only to the complete bipartite graph but also to one- and two-dimensional lattices, which are relevant for Rydberg atom array experiments. Moreover, our findings provide a physical motivation for Hamiltonian deformations reminiscent of those known to produce perfect scars.
我们开发了一种用于描述PXP模型中量子多体伤疤的分析方法。我们表明，完全二分图上PXP模型中的伤疤动力学可以解释为一维手征散射问题，并对该问题进行了解析求解。这一分析所得的见解使我们能够预测，通过对初始态进行自旋压缩，可以增强PXP模型中伤疤的动力学特征。我们通过数值计算表明，这种稳定机制不仅适用于完全二分图，也适用于与里德堡原子阵列实验相关的一维和二维晶格。此外，我们的发现为哈密顿量变形提供了一个物理动机，这种变形让人联想到那些已知会产生完美伤疤的变形。
