二维染料填充球形帽腔中理想光子的统计特性

IF 1.5 4区物理与天体物理 Q2 PHYSICS, MULTIDISCIPLINARY

Chinese Physics B Pub Date : 2024-08-08 DOI:10.1088/1674-1056/ad6cc9

Ze Cheng

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引用次数: 0

摘要

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。

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

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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来源期刊

Chinese Physics B 物理-物理：综合

CiteScore

2.80

自引率

23.50%

发文量

15667

审稿时长

2.4 months

期刊介绍： Chinese Physics B is an international journal covering the latest developments and achievements in all branches of physics worldwide (with the exception of nuclear physics and physics of elementary particles and fields, which is covered by Chinese Physics C). It publishes original research papers and rapid communications reflecting creative and innovative achievements across the field of physics, as well as review articles covering important accomplishments in the frontiers of physics. Subject coverage includes: Condensed matter physics and the physics of materials Atomic, molecular and optical physics Statistical, nonlinear and soft matter physics Plasma physics Interdisciplinary physics.