原子气体中的光子局域化和Dicke超辐射
Photon localization and Dicke superradiance in atomic gases
摘要：
利用描述光子介导原子偶极相互作用的有效哈密顿量研究了光子在N原子气体中的传输。光子逃逸率密度P（Γ）由N × N随机矩阵Γ_{ij} = \sin（x_{ij}）/ x_{ij}的谱确定，其中x_{ij}是任意两个原子之间的无量纲随机距离。不同的无序度和系统大小，逃逸率的标度行为观察。这是解释使用微观计算和随机模型，强调在光子本地化的合作效应的作用，并提供了一个有趣的关系与统计特性的“小世界网络”。
英文摘要：
Photon propagation in a gas of N atoms is studied using an effective Hamiltonian describing photon mediated atomic dipolar interactions. The density P(Γ) of photon escape rates is determined from the spectrum of the N x N random matrix Γ_{ij} = \sin (x_{ij}) / x_{ij}, where x_{ij} is the dimensionless random distance between any two atoms. Varying disorder and system size, a scaling behavior is observed for the escape rates. It is explained using microscopic calculations and a stochastic model which emphasizes the role of cooperative effects in photon localization and provides an interesting relation with statistical properties of "small world networks".
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。
