We investigate the collective dynamics of nonlinearly interacting modes in multimode photonic settings. To this end, we have established a connection with the theory of spin networks. The emerging "photonic spins’’ are complex, soft (their size is not fixed) and their dynamics has two constants of motion. Our analysis shed light on the nature of the thermal equilibrium states and reveals the existence of optical phase-transitions which resemble a paramagnetic to a ferromagnetic and to a spin-glass phase transitions occurring in spin networks. We show that, for fixed optical power, these transitions are driven by the type of the network connectivity, its coordination number, and the total energy of the optical signal. In strictly one-dimensional photonic networks we establish a universal one-parameter scaling that dictates the crossover from a (quasi-)ferromagnetic phase to a paramagnetic phase.

中文翻译：

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光子网络中的光学相变：自旋系统公式

我们研究在多模式光子环境中非线性相互作用模式的集体动力学。为此，我们已经建立了与自旋网络理论的联系。新兴的“光子自旋”复杂，柔软（其大小不固定），其动力学具有两个运动常数，我们的分析揭示了热平衡态的本质，并揭示了类似于在自旋网络中发生从顺磁性到铁磁性以及自旋玻璃的相变我们证明，对于固定的光功率，这些跃迁是由网络连通性的类型，其配位数和光的总能量驱动的信号。