AI 中文总结
本文研究1+1维两类格点规范理论无无序局域化区域的量子复杂性动力学，揭示了随规范耦合变化的两种行为，凸显规范不变性对量子资源的约束作用，对相关量子模拟有重要意义。
AI 中文摘要
量子态复杂性诊断为多体动力学、信息 scrambling 和量子计算提供了重要洞见。本文研究1+1维阿贝尔U(1)和非阿贝尔SU(2)格点规范理论（LGT）在无无序局域化（DFL）区域的量子复杂性实时动力学，采用稳定子Rényi熵、参与Rényi熵和费米子非高斯性作为复杂性度量，观察到两种随规范耦合变化的主要行为：中间值时呈幂律弛豫至饱和，与多体局域化的观测结果一致；足够大时呈极慢的双对数增长，我们通过精确计数验证的构型空间界证实了该结果。研究结果不仅加深了对DFL动力学的理解，还凸显了规范不变性在约束量子资源中的作用，与近期LGT的量子模拟相关。
英文摘要
Quantum-state complexity diagnostics provide valuable insight into many-body dynamics, information scrambling, and quantum computation. Here, we investigate the real-time dynamics of quantum complexity in $1+1$-dimensional Abelian U(1) and non-Abelian SU(2) lattice gauge theories (LGTs), focusing on the disorder-free localization (DFL) regime. Using stabilizer Rényi entropy, participation Rényi entropy, and fermionic non-Gaussianity as measures of complexity, we observe, for both theories, two main behaviors as a function of the gauge coupling: at intermediate values, a power-law relaxation towards saturation, consistent with observations in many-body localization, and, at sufficiently large values, an ultraslow double-logarithmic growth, which we substantiate with a configuration-space bound verified by exact counting. Our results not only provide deeper insight into the dynamics of DFL but also highlight the role of gauge invariance in constraining quantum resources and are relevant to recent quantum simulations of LGTs.
Comments13+8 pages (including End Matter and Supplemental Material), 5+1 figures, 1+2 tables
