标题： 非马尔可夫量子涨落与光子带边附近的超辐射 显示英文标题

标题： Non-Markovian Quantum Fluctuations and Superradiance Near a Photonic Band Edge

摘要： 我们讨论了一个点模型，用于描述N个两能级原子在光子带隙材料中的集体发光，每个原子的原子共振频率接近带隙边缘。 在初始激发原子态占据率较低的极限情况下，我们的系统被证明具有新颖的原子谱和种群统计特性。 对于初始激发态粒子数较多的情况，平均场理论表明在稳态下原子会出现分数量反转和宏观极化，这两者都可以通过外部直流场进行控制。 这种原子稳态伴随着位于原子附近的场模的电场算符的非零期望值。 由于辐射动力学中的非马尔可夫记忆效应，带边附近的均匀展宽性质与自由空间中的情况有显著不同。 非马尔可夫真空涨落被证明可以产生具有随机相位的部分相干稳态极化。 与传统激光的稳态相比，在光子带边附近，这种相干性是由于没有传统腔模时光子局域化的结果。 我们还引入了一个经典随机函数，其时间相关性与电磁热库相同，以便对光子带边附近的真空涨落效应进行随机模拟。 显示英文摘要

摘要： We discuss a point model for the collective emission of light from N two-level atoms in a photonic bandgap material, each with an atomic resonant frequency near the edge of the gap. In the limit of a low initial occupation of the excited atomic state, our system is shown to possess novel atomic spectra and population statistics. For a high initial excited state population, mean field theory suggests a fractionalized inversion and a macroscopic polarization for the atoms in the steady state, both of which can be controlled by an external d.c. field. This atomic steady state is accompanied by a non--zero expectation value of the electric field operators for field modes located in the vicinity of the atoms. The nature of homogeneous broadening near the band edge is shown to differ markedly from that in free space due to non-Markovian memory effects in the radiation dynamics. Non-Markovian vacuum fluctuations are shown to yield a partially coherent steady state polarization with a random phase. In contrast with the steady state of a conventional laser, near a photonic band edge this coherence occurs as a consequence of photon localization in the absence of a conventional cavity mode. We also introduce a classical stochastic function with the same temporal correlations as the electromagnetic reservoir, in order to stochastically simulate the effects of vacuum fluctuations near a photonic band edge.