AI 中文总结
该研究分析可编程微腔中巨正则光子气体的玻色态计数，得出无序玻色谐振器的通用熵占据统计规律，关联光子热力学与度量数论，并提出相关实验测试方案。
AI 中文摘要
可编程微腔支持巨正则光子气体，我们证明玻色态计数会形成最概然总占据的熵阶梯。当失谐密度在化学势阈值处连续且非零时，活性单元分数在低温下渐近线性，条件分布存在通用极限；对于均匀无序，该分布在有限温度区间内精确成立。对于两个模式，它是Gauss-Kuzmin分布，将光子热力学与度量数论关联起来，我们概述了有限阵列和染料微腔的测试方案。
英文摘要
Programmable microcavities support grand-canonical photon gases. We show that bosonic state counting creates an entropic staircase of most-probable total occupations. For detuning density continuous and nonzero at the chemical-potential threshold, the active-cell fraction is asymptotically linear at low temperature and the conditional law has a universal limit; for uniform disorder the law is exact over a finite temperature interval. For two modes it is the Gauss--Kuzmin distribution, linking photonic thermodynamics and metric number theory. We outline finite-array and dye-microcavity tests.
Comments5 pages, 2 figures
