论文标题
纳米剂的速率方程和光子统计的有效随机模拟
Efficient stochastic simulation of rate equations and photon statistics of nanolasers
论文作者
论文摘要
基于单模两级激光器的速率方程模型，详细描述了两种用于随机模拟微层和纳米层的动力学和稳态行为的算法。两种方法都导致了激光的稳态光子数和统计特征，但是其中一种算法被证明更有效。与早期算法相比，该算法（称为Gillespie的第一种反应方法（FRM））的计算时间降低了一千倍，同时还规定了有关时间提示大小和事件订购的数值问题。 FRM用于检查腔内光子分布，发现数值结果准确遵循分析。最后，将FRM应用于一组略有变化的速率方程式，并且表明分析结果和数值结果都表现出与纳米层中强烈发射极相关的存在通常相关的特征。
Based on a rate equation model for single-mode two-level lasers, two algorithms for stochastically simulating the dynamics and steady-state behaviour of micro- and nanolasers are described in detail. Both methods lead to steady-state photon numbers and statistics characteristic of lasers, but one of the algorithms is shown to be significantly more efficient. This algorithm, known as Gillespie's First Reaction Method (FRM), gives up to a thousandfold reduction in computation time compared to earlier algorithms, while also circumventing numerical issues regarding time-increment size and ordering of events. The FRM is used to examine intra-cavity photon distributions, and it is found that the numerical results follow the analytics exactly. Finally, the FRM is applied to a set of slightly altered rate equations, and it is shown that both the analytical and numerical results exhibit features that are typically associated with the presence of strong inter-emitter correlations in nanolasers.
