论文标题
从高$ q $非线性硅光子晶体微腔源出来的随机极限周期的光子相关测量
Photon correlation measurements of stochastic limit cycles emerging from high-$Q$ nonlinear silicon photonic crystal microcavities
论文作者
论文摘要
我们在驱动的非线性高$ q $ silicon（si）光子晶体（PHC）微洞中进行了光子相关[$ g^{（2）}（τ）$]的测量。当输入泵功率超过临界值时，测得的$ g^{（2）}（τ）$表现出阻尼的振荡行为。从实验和仿真之间的比较中，我们将$ g^{（2）}（τ）$的测得的振荡归因于从光子，载体和热动力学之间的相互作用中出现的自动脉冲（一个极限循环）。也就是说，$ g^{（2）}（τ）$的振荡频率对应于极限周期的振荡周期，而其有限相干性（阻尼）时间源自限制周期的随机性质。从相还原理论的角度来看，我们将$ g^{（2）}（τ）$的测得的相干时间解释为极限循环的广义相位的相干（扩散）时间。此外，我们表明激光输入功率的增加可以增强$ g^{（2）}（τ）$的连贯性时间至微秒的顺序，这可以证明通过泵送稳定随机限制周期。
We performed measurements of photon correlation [$g^{(2)}(τ)$] in driven nonlinear high-$Q$ silicon (Si) photonic crystal (PhC) microcavities. The measured $g^{(2)}(τ)$ exhibits a damped oscillatory behavior when input pump power exceeds a critical value. From comparison between experiments and simulations, we attribute the measured oscillation of $g^{(2)}(τ)$ to self-pulsing (a limit cycle) emerging from an interplay between photon, carrier, and thermal dynamics. Namely, the oscillation frequency of $g^{(2)}(τ)$ corresponds to the oscillation period of the limit cycle, while its finite coherence (damping) time originates from the stochastic nature of the limit cycle. From the standpoint of phase reduction theory, we interpret the measured coherence time of $g^{(2)}(τ)$ as the coherence (diffusion) time of a generalized phase of the limit cycle. Furthermore, we show that an increase in laser input power enhances the coherence time of $g^{(2)}(τ)$ up to the order of microseconds, which could be a demonstration of the stabilization of a stochastic limit cycle through pumping.
