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一对三能级原子中的集体啁啾STIRAP:缀饰流形动力学与Rydberg-Rydberg相互作用诱导失谐的补偿

Collective Chirped STIRAP in a Pair of Three-Level Atoms: Dressed-Manifold Dynamics and Compensation of the Rydberg-Rydberg Interaction-Induced Detuning

Vladimir V. Malinovsky, Svetlana A. Malinovskaya

arXiv 2609.22673首次发表:更新:

发表机构

Stevens Institute of Technology(史蒂文斯理工学院)

机构由 AI 辅助整理,请以论文原文为准。

AI 中文总结

本文研究一对三能级原子中的集体啁啾STIRAP,通过缀饰流形分析揭示振荡转移机制,并证明频率啁啾可补偿Rydberg相互作用失谐,实现高效粒子数转移,为多能级系统绝热控制提供新框架。

AI 中文摘要

我们使用对称六态模型研究了一对相同三能级原子中的集体啁啾受激拉曼绝热通道(STIRAP)。数值模拟揭示了到双激发Rydberg态的粒子数转移对峰值Rabi频率的显著振荡依赖性,表明其动力学超出了STIRAP传统的单暗态描述。为识别潜在机制,我们发展了一种基于规范不变投影到近简并瞬时缀饰流形上的缀饰流形描述。分析表明,波函数主要被限制在二维暗流形内,同时在脉冲重叠区间瞬态耦合到邻近的亮流形。我们进一步表明,在缀饰流形表示中,Rydberg-Rydberg相互作用修改了集体共振结构,同时保留了负责振荡转移的暗-亮流形动力学;适当选择的频率啁啾补偿了相互作用诱导的失谐并恢复了高效的粒子数转移。这种缀饰流形图像为振荡集体转移提供了一致的解释,并为通过线性啁啾STIRAP控制相互作用多能级系统中的绝热动力学建立了框架,为基于流形控制Rydberg介导的量子门、关联态制备以及相互作用原子系统中的其他相干操作开辟了途径。

英文摘要

We investigate collective chirped stimulated Raman adiabatic passage (STIRAP) in a pair of identical three-level atoms using a symmetric six-state model. Numerical simulations reveal a pronounced oscillatory dependence of the population transfer to the doubly excited Rydberg state on the peak Rabi frequency, indicating dynamics beyond the conventional single-dark-state description of STIRAP. To identify the underlying mechanism, we develop a dressed-manifold description based on gauge-invariant projections onto nearly degenerate instantaneous dressed manifolds. The analysis demonstrates that the wavefunction remains predominantly confined to a two-dimensional dark manifold while becoming transiently coupled to a neighboring bright manifold during the pulse-overlap interval. We further show that in the dressed-manifold representation, the Rydberg-Rydberg interaction modifies the collective resonance structure while preserving the dark-bright manifold dynamics responsible for the oscillatory transfer; an appropriately chosen frequency chirp compensates the interaction-induced detuning and restores efficient population transfer. This dressed-manifold picture provides a consistent interpretation of oscillatory collective transfer and establishes a framework for controlling adiabatic dynamics in interacting multilevel systems by linearly chirped STIRAP, opening a route toward manifold-based control of Rydberg-mediated quantum gates, correlated-state preparation, and other coherent operations in interacting atomic systems.

论文原文

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