双色莫特晶格猝灭动力学中的隐藏遍历弛豫
Hidden Ergodic Relaxation in the Quench Dynamics of a Bichromatic Mott Lattice
AI总结：
该研究针对有限双色莫特晶格中强相互作用玻色子的非平衡动力学，发现系数熵等统计量呈现类GOE的显著增长，而可实验观测的物理量几乎不变，揭示了莫特类序下的隐藏遍历弛豫，并构建嵌入随机矩阵模型阐释该弛豫。
AI中文摘要：
我们研究有限双色莫特晶格中强相互作用玻色子在次级晶格振幅突然猝灭后的非平衡动力学。系数熵和第二Rényi熵显著增长，趋近于随机矩阵理论给出的高斯正交系综（GOE）预测值，这与所用多构型表示中类GOE统计扩散一致。与之形成鲜明对比的是，动量分布、碎裂度和格劳伯（Glauber）关联函数等可实验观测的物理量在整个演化过程中几乎保持不变。对于所采样的强猝灭情况，系数熵、第二Rényi熵及N体系数扩散均收敛于一条共同的弛豫轨迹，该轨迹在很大程度上与微扰强度无关。我们的结果揭示了持续局域莫特类序之下存在的一种涌现的隐藏遍历弛豫。一个有效的嵌入随机矩阵模型可捕捉从受限希尔伯特空间扩散到广延希尔伯特空间扩散的定性交叉，为观测到的弛豫动力学提供了阐释框架。
英文摘要：
We investigate the nonequilibrium dynamics of strongly interacting bosons in a finite bichromatic Mott lattice following a sudden quench of the secondary lattice amplitude. The coefficient entropies and second Rényi entropy exhibit pronounced growth toward their Gaussian Orthogonal Ensemble (GOE) predictions from random-matrix theory, consistent with GOE-like statistical spreading in the employed multiconfigurational representation. In striking contrast, experimentally accessible observables, including the momentum distribution, fragmentation, and Glauber correlation functions, remain nearly unchanged throughout the evolution. For the sampled strong quenches, the coefficient entropies, second Rényi entropy, and the $N$-body coefficient spreading collapse onto a common relaxation trajectory that becomes largely independent of the perturbation strength. Our results reveal an emergent hidden ergodic relaxation beneath the persistent local Mott-like order. An effective embedded random-matrix model captures the qualitative crossover from restricted to extensive Hilbert-space spreading, providing an interpretive framework for the observed relaxation dynamics.
