AI 中文总结
本文提出平均场近似的有效模型，将非相互作用原子的优化脉冲适配至相互作用系统，实现大原子系统模拟，针对两个⁸⁷Rb原子的误差低于1%，弱至中等相互作用下适配脉冲性能与最优脉冲相当。
AI 中文摘要
圆形里德堡原子阵列是量子模拟与计算的有前景平台，但在原子间相互作用存在时的制备仍是重大挑战。最优控制方法已能为单个原子及一对原子的循环化设计快速精准的射频脉冲，然而扩展至更多原子时，希尔伯特空间的指数增长从根本上受限，导致数值模拟计算不可行。本文引入平均场近似处理相互作用的有效模型，可模拟大原子系统；该模型还能基于单次时间演化计算，将针对非相互作用原子优化的脉冲适配至相互作用系统。针对两个相互作用的⁸⁷Rb原子，我们证明该方法误差低于1%，且适配脉冲在弱至中等相互作用强度范围内恢复了最优脉冲的初始性能。
英文摘要
Arrays of circular Rydberg atoms provide a promising platform for quantum simulation and computation; however, their preparation in the presence of interatomic interactions remains a major challenge. While optimal control methods have enabled the design of fast and accurate radio-frequency pulses for the circularization of a single atom and of an atom pair, the extension to more atoms is fundamentally limited by the exponential growth of the Hilbert space, which renders numerical simulations computationally infeasible. Here, we introduce an effective model that treats interactions within a mean-field approximation, thereby enabling the simulation of large atomic systems. Our model further enables the adaptation of pulses optimized for non-interacting atoms to interacting systems, based on the computation of a single time evolution. For two interacting $^{87}\mathrm{Rb}$ atoms, we demonstrate that the error of our method remains below $1 \, \%$ and that our adapted pulses recover the initial performance of optimal pulses in the regime of weak to moderate interaction strengths.
Comments5 pages, 2 figures
