扩散量子系统的Rényi纠缠熵动力学
Dynamics of Rényi entanglement entropy in diffusive qudit systems
摘要：
我以前的工作[arXiv：1902.00977]研究了电荷守恒的局域量子线路中雷尼纠缠熵$R_α$的动力学。初始化的系统在一个随机的产品状态，它被证明，$R_α$与雷尼指数$α>1$增长不快于“扩散”（直到亚对数校正），如果电荷传输不快于扩散。证明仅针对量子比特或自旋$1/2$系统。在本文中，我将证明扩展到qudit系统，即，具有局部维数$d\ge2$自旋系统。
英文摘要：
My previous work [arXiv:1902.00977] studied the dynamics of Rényi entanglement entropy $R_α$ in local quantum circuits with charge conservation. Initializing the system in a random product state, it was proved that $R_α$ with Rényi index $α>1$ grows no faster than "diffusively" (up to a sublogarithmic correction) if charge transport is not faster than diffusive. The proof was given only for qubit or spin-$1/2$ systems. In this note, I extend the proof to qudit systems, i.e., spin systems with local dimension $d\ge2$.
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。
