AI 中文总结
研究方格上高度守恒量子二聚体模型去除冻结态后单扇区内动力学是否热化，通过解析相关量分离主导连通Krylov分量并分析其特性，发现谱关联和本征态热化不遵循相同普遍特征，体现了约束量子混沌。
AI 中文摘要
强约束量子系统在凝聚态物质和晶格规范理论中起着核心作用，其热化常被认为很微妙。本文研究去除冻结态后单扇区内动力学是否热化的问题，以方格上的高度守恒量子二聚体模型为对象，通过解析相关量来分离各破碎扇区的主导连通Krylov分量并分析其谱统计、纠缠和连通性。两种标准混沌诊断显示不同行为，谱间距统计在不同动量扇区不同，但各扇区本征态纠缠熵呈现热化特征曲线，仅少数低纠缠异常值中断该模式。这表明强运动学约束会使谱关联和本征态热化不遵循相同普遍特征，即约束量子混沌的体现。
英文摘要
Strongly constrained quantum systems, in which local rules forbid most configurations, play a central role in condensed matter and lattice gauge theory. Their thermalization is often thought to be delicate: extensive conservation laws and dynamically frozen states can shatter the Hilbert space into many disconnected sectors. A natural question is whether, once the frozen states are removed, the dynamics within a single sector still thermalizes. We address this in the height-conserving quantum dimer model on the square lattice, whose local plaquette flips conserve an emergent height field. Resolving the winding numbers, the four sublattice heights, and lattice momentum , we isolate the dominant connected Krylov component of each fragmented sector and analyze its spectral spectral statistics, entanglement, and connectivity. The two standard chaos diagnostics then show different behavior:across momentum sectors the level-spacing statistics range from near-Poisoon to Wigner-Dyson, yet in every sector the eigenstate entanglement entropy collapses onto a narrow, dome-shaped curve characteristic of eigenstate thermalization. Only a handful of low-entanglement outliers interrupt this thermal pattern, in selected sectors. Thus, strong kinematic constraints can lead to a situation where spectral correlations and eigenstate thermalization need not follow the same universal signatures -- a manifestation of constrained quantum chaos.
