论文标题
空间光子iSing机器中相变的实验性观察
Experimental Observation of Phase Transitions in Spatial Photonic Ising Machine
论文作者
论文摘要
统计旋转动力学起着了解新型光学iSing机器的工作原理的关键作用。在这里，我们提出了空间光子iSing机器的量规变换，其中单个空间相调节器同时编码旋转配置和程序相互作用强度。借助量规变换，我们通过实验评估了$ 100 $完全连接的自旋的高维自旋玻璃平衡系统的相图。我们观察到磁磁性，铁磁和旋转玻璃相的存在，并确定临界温度$ t_c $以及临界概率$ {{p} _ {c}} $，这与平均场理论预测非常吻合。因此，在空间光子iSing机器中对平均场模型的近似进行实验验证。此外，我们在冷却过程中与求解组合优化问题并行讨论相变，并确定即使系统与光学异差和测量不确定性相关联，空间光子ISING机器也具有足够的多型旋转相互作用。
Statistical spin dynamics plays a key role to understand the working principle for novel optical Ising machines. Here we propose the gauge transformations for spatial photonic Ising machine, where a single spatial phase modulator simultaneously encodes spin configurations and programs interaction strengths. Thanks to gauge transformation, we experimentally evaluate the phase diagram of high-dimensional spin-glass equilibrium system with $100$ fully-connected spins. We observe the presence of paramagnetic, ferromagnetic as well as spin-glass phases and determine the critical temperature $T_c$ and the critical probability ${{p}_{c}}$ of phase transitions, which agree well with the mean-field theory predictions. Thus the approximation of the mean-field model is experimentally validated in the spatial photonic Ising machine. Furthermore, we discuss the phase transition in parallel with solving combinatorial optimization problems during the cooling process and identify that the spatial photonic Ising machine is robust with sufficient many-spin interactions, even when the system is associated with the optical aberrations and the measurement uncertainty.
