Takemura Naotomo, Takata Kenta, Takiguchi Masato, Notomi Masaya
Nanophotonics Center, NTT Corp., 3-1, Morinosato Wakamiya Atsugi, Kanagawa, 243-0198, Japan.
NTT Basic Research Laboratories, NTT Corp., 3-1, Morinosato Wakamiya Atsugi, Kanagawa, 243-0198, Japan.
Sci Rep. 2021 Apr 21;11(1):8587. doi: 10.1038/s41598-021-86982-w.
The Kuramoto model is a mathematical model for describing the collective synchronization phenomena of coupled oscillators. We theoretically demonstrate that an array of coupled photonic crystal lasers emulates the Kuramoto model with non-delayed nearest-neighbor coupling (the local Kuramoto model). Our novel strategy employs indirect coupling between lasers via additional cold cavities. By installing cold cavities between laser cavities, we avoid the strong coupling of lasers and realize ideal mutual injection-locking with effective non-delayed dissipative coupling. First, after discussing the limit cycle interpretation of laser oscillation, we demonstrate the synchronization of two indirectly coupled lasers by numerically simulating coupled-mode equations. Second, by performing a phase reduction analysis, we show that laser dynamics in the proposed device can be mapped to the local Kuramoto model. Finally, we briefly demonstrate that a chain of indirectly coupled photonic crystal lasers actually emulates the one-dimensional local Kuramoto chain. We also argue that our proposed structure, which consists of periodically aligned cold cavities and laser cavities, will best be realized by using state-of-the-art buried multiple quantum well photonic crystals.
仓本模型是一种用于描述耦合振子集体同步现象的数学模型。我们从理论上证明，耦合光子晶体激光器阵列可模拟具有非延迟最近邻耦合的仓本模型（局部仓本模型）。我们的新策略通过额外的冷腔实现激光器之间的间接耦合。通过在激光腔之间安装冷腔，我们避免了激光器的强耦合，并通过有效的非延迟耗散耦合实现了理想的相互注入锁定。首先，在讨论激光振荡的极限环解释之后，我们通过对耦合模方程进行数值模拟，证明了两个间接耦合激光器的同步。其次，通过进行相位约化分析，我们表明所提出装置中的激光动力学可以映射到局部仓本模型。最后，我们简要证明了间接耦合光子晶体激光器链实际上模拟了一维局部仓本链。我们还认为，我们提出的由周期性排列的冷腔和激光腔组成的结构，最好通过使用最先进的掩埋多量子阱光子晶体来实现。
