论文标题
小型系统中的“相转换”：纳米层的标准阈值定义为何失败
"Phase Transitions" in small systems: why standard threshold definitions fail for nanolasers
论文作者
论文摘要
自从微和纳米层的发展以来，激光阈值的问题一直存在辩论。已经使用了不同的定义来建立它的发生，通常会遇到主要障碍。我们检查了一组常见的物理定义，这些定义适用于微VCSEL进行的测量。他们的预测不仅清楚地不同意，指出激光应交叉阈值的不同泵值，而且还对应于自相关值，这些值表现出非常低场相干性。对速率方程式的拓扑分析，平均自发排放添加到激光模式中，清楚地识别了矛盾的差异，并解释了差异的起源。其他考虑因素有助于理解方法的失败，并突出显示所有激光器中阈值独特和一般定义的道路，而不论其大小如何。对用自发发射的速率方程式中做出的假设的批判性审查说明了它们的优势和弱点，并更好地定义了其预测的界限。我们在结论中评论了本文的主要结果如何为其他小型系统所持有。
Since the development of micro- and nanolasers, the question of laser threshold has been subject to debate. Different definitions have been used to try and establish its occurrence, often encountering major obstacles. We examine a set of common physical definitions which we apply to measurements taken in a micro-VCSEL. Their predictions not only clearly disagree, pointing to different pump values at which the laser should cross threshold, but they also correspond to autocorrelation values which demonstrate very low field coherence. A topological analysis of the rate equations, with average spontaneous emission added to the lasing mode, clearly identifies the contradictions and explains the origin of the discrepancies. Additional considerations help understanding the failure of the approach and highlight the path towards a unique and general definition of threshold in all lasers, irrespective of their sizes. A critical scrutiny of the assumptions made in the rate equations with spontaneous emission illustrates their strength and weaknesses and better defines the bounds within which their predictions hold. We remark in the conclusions how the main results of this paper could hold for other small systems.
