通过横向里德伯阻塞相互作用的光子的空间关联
Spatial correlations of photons interacting via transverse Rydberg blockade
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中文总结 AI 辅助
该研究建立里德伯非线性介质中相互作用光子的横向空间动力学理论，推导关联函数定量预测，确立横向里德伯阻塞为可测量关联机制，为测量阻塞半径提供直接手段。
中文摘要 AI 辅助
我们建立了里德伯非线性介质中两个相互作用光子的横向空间动力学理论。在研究较为充分的一维情况基础上，我们探索了作为里德伯极化子传播的光子的纵向和横向关联。我们发现这些关联呈现出不同的行为和标度律，这源于两个方向上根本不同的机制：横向关联对应衍射，纵向关联对应扩散。我们建立了包含高斯光束和非均匀原子密度分布的模型，由此推导得到两个方向上关联函数的定量预测。我们进一步证明，传播方程可约化为单一类薛定谔方程，其近似解得到了完整数值结果的支持。我们的发现表明，横向关联长度主要由阻塞半径决定，而纵向关联长度受限于带宽。这些结果确立了横向里德伯阻塞作为一种独特且可测量的关联机制，并表明光子的空间关联为测量阻塞半径提供了直接手段。
英文摘要
We develop a theory of the transverse spatial dynamics of two interacting photons in a Rydberg nonlinear medium. Extending the well-studied one-dimensional case, we explore both longitudinal and transverse correlations of photons propagating as Rydberg polaritons. We identify distinct behaviors and scaling laws for these correlations, arising from fundamentally different mechanisms in the two directions: diffraction for transverse correlations and diffusion for longitudinal correlations. We develop a model incorporating a Gaussian optical beam and an inhomogeneous atomic density distribution, from which we derive quantitative predictions for correlation functions in both directions. We further show that the propagation equations can be reduced to a single Schrödinger-like equation, allowing approximate solutions that are supported by full numerical results. Our findings indicate that the transverse correlation length is determined primarily by the blockade radius, whereas the longitudinal correlation length is limited by bandwidth. These results establish transverse Rydberg blockade as a distinct and measurable correlation mechanism and show that spatial photon correlations provide a direct means of measuring the blockade radius.
发表机构
- Weizmann Institute of Science（魏茨曼科学研究所）
- University of Bonn（波恩大学）
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