自旋1 PXP模型的约束诱导破缺与遍历性恢复
Constraint-induced breaking and restoration of ergodicity in spin-1 PXP models
摘要：
本征态热化假说（ETH）在理解孤立量子多体系统的遍历性及其破缺方面起着关键作用。最近在51原子Rydberg量子模拟器上的实验和随后的理论分析表明，硬核动力学约束可以导致弱遍历性破缺。在这项工作中，我们证明，使用一维自旋1 PXP链，杂项类型的遍历性可以通过调整最近邻自旋的不同组件之间的硬核约束来实现。这包括由于希尔伯特空间以指数方式破碎成许多不同大小的子扇区而导致的ETH违反，这是一种具有大量局部守恒量和强遍历性的新型不可积性。我们分析了这些不同形式的遍历性，并研究了它们对Z2初始状态的非平衡动力学的影响。我们使用前向散射近似（FSA）来理解这些模型中存在的Z2振荡量。我们的工作表明，不仅遍历打破，但适当的选择约束可以导致遍历恢复以及。
英文摘要：
Eigenstate Thermalization Hypothesis(ETH) has played a pivotal role in understanding ergodicity and its breaking in isolated quantum many-body systems. Recent experiment on 51-atom Rydberg quantum simulator and subsequent theoretical analysis have shown that hardcore kinetic constraint can lead to weak ergodicity breaking. In this work, we demonstrate, using 1d spin-1 PXP chains, that miscellaneous type of ergodicity can be realized by adjusting the hardcore constraints between different components of nearest neighbor spins. This includes ETH violation due to emergent shattering of Hilbert space into exponentially many subsectors of various sizes, a novel form of non-integrability with an extensive number of local conserved quantities and strong ergodicity. We analyze these different forms of ergodicity and study their impact on the non-equilibrium dynamics of a Z2 initial state. We use forward scattering approximation (FSA) to understand the amount of Z2-oscillation present in these models. Our work shows that not only ergodicity breaking but an appropriate choice of constraints can lead to restoration of ergodicity as well.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
