论文标题
学习小光子冷凝物的模糊阶段
Learning the Fuzzy Phases of Small Photonic Condensates
论文作者
论文摘要
相变是集体行为的最终表现,通常仅是许多粒子系统的特征。在这里,我们描述了仅由几个光子组成的小光子冷凝物中集体行为的实验观察。此外,还确定了各种平衡和非均衡状态,包括玻色 - 因斯坦冷凝或激光样发射。然而,较小的光子数和较大的相对波动的存在在识别不同阶段和相变时遇到了主要困难。我们通过使用无监督的学习和模糊聚类算法来系统地构建小型光子冷凝物的模糊相图来克服这一限制。因此,我们的结果证明了甚至少量光子集合的丰富而复杂的相结构,使其成为研究在少数粒子水平上研究平衡和非平衡物理的理想平台。
Phase transitions, being the ultimate manifestation of collective behaviour, are typically features of many-particle systems only. Here, we describe the experimental observation of collective behaviour in small photonic condensates made up of only a few photons. Moreover, a wide range of both equilibrium and non-equilibrium regimes, including Bose-Einstein condensation or laser-like emission are identified. However, the small photon number and the presence of large relative fluctuations places major difficulties in identifying different phases and phase transitions. We overcome this limitation by employing unsupervised learning and fuzzy clustering algorithms to systematically construct the fuzzy phase diagram of our small photonic condensate. Our results thus demonstrate the rich and complex phase structure of even small collections of photons, making them an ideal platform to investigate equilibrium and non-equilibrium physics at the few particle level.