Statistical properties of ideal photons in a 2D dye-filled spherical cap cavity

IF 16.4 1区化学 Q1 CHEMISTRY, MULTIDISCIPLINARY

Accounts of Chemical Research Pub Date : 2024-08-08 DOI:10.1088/1674-1056/ad6cc9

Ze Cheng

引用次数: 0

Abstract

Within the framework of quantum statistical mechanics, we have proposed an exact analytical solution to the problem of Bose-Einstein condensation (BEC) of harmonically trapped 2D ideal photons. We utilize this analytical solution to investigate the statistical properties of ideal photons in a 2D dye-filled spherical cap cavity. The results of numerical calculation of the analytical solution agree completely with the foregoing experimental results in the BEC of harmonically trapped 2D ideal photons. The analytical expressions of the critical temperature and the condensate fraction are derived in the thermodynamic limit. It is found that the 2D critical photon number is larger than the 1D critical photon number by two orders of magnitude. The spectral radiance of a 2D spherical cap cavity has a sharp peak at the frequency of the cavity cutoff when the photon number exceeds the critical value determined by a temperature.

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二维染料填充球形帽腔中理想光子的统计特性

在量子统计力学框架内，我们提出了谐波捕获的二维理想光子的玻色-爱因斯坦凝聚（BEC）问题的精确解析解。我们利用这一解析解研究了理想光子在二维染料填充球形帽腔中的统计特性。解析解的数值计算结果与前述谐波捕获二维理想光子的 BEC 实验结果完全吻合。在热力学极限下推导出了临界温度和冷凝物分数的解析表达式。研究发现，二维临界光子数比一维临界光子数大两个数量级。当光子数超过由温度决定的临界值时，二维球帽空腔的光谱辐射率在空腔截止频率处有一个尖锐的峰值。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Accounts of Chemical Research 化学-化学综合

CiteScore

31.40

自引率

1.10%

发文量

312

审稿时长

2 months

期刊介绍： Accounts of Chemical Research presents short, concise and critical articles offering easy-to-read overviews of basic research and applications in all areas of chemistry and biochemistry. These short reviews focus on research from the author’s own laboratory and are designed to teach the reader about a research project. In addition, Accounts of Chemical Research publishes commentaries that give an informed opinion on a current research problem. Special Issues online are devoted to a single topic of unusual activity and significance. Accounts of Chemical Research replaces the traditional article abstract with an article "Conspectus." These entries synopsize the research affording the reader a closer look at the content and significance of an article. Through this provision of a more detailed description of the article contents, the Conspectus enhances the article's discoverability by search engines and the exposure for the research.