Statistical properties of ideal photons in a two-dimensional dye-filled spherical cap cavity

doi:10.1088/1674-1056/ad6cc9

中国物理B ›› 2024, Vol. 33 ›› Issue (10): 104206-104206.doi: 10.1088/1674-1056/ad6cc9

Statistical properties of ideal photons in a two-dimensional dye-filled spherical cap cavity

Ze Cheng(成泽)†

School of Physics, Huazhong University of Science and Technology, Wuhan 430074, China

收稿日期:2024-05-27 修回日期:2024-07-29 接受日期:2024-08-08 出版日期:2024-10-15 发布日期:2024-10-15
通讯作者: Ze Cheng E-mail:zcheng@mail.hust.edu.cn
基金资助:
Project supported by the National Natural Science Foundation of China (Grant Nos. 10174024 and 10474025).

Statistical properties of ideal photons in a two-dimensional dye-filled spherical cap cavity

Ze Cheng(成泽)†

School of Physics, Huazhong University of Science and Technology, Wuhan 430074, China

Received:2024-05-27 Revised:2024-07-29 Accepted:2024-08-08 Online:2024-10-15 Published:2024-10-15
Contact: Ze Cheng E-mail:zcheng@mail.hust.edu.cn
Supported by:
Project supported by the National Natural Science Foundation of China (Grant Nos. 10174024 and 10474025).

摘要/Abstract

摘要： 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 two-dimensional (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 one-dimensional (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.

关键词: rigorous results in statistical mechanics, Bose-Einstein condensation, 2D photons

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 two-dimensional (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 one-dimensional (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.

Key words: rigorous results in statistical mechanics, Bose-Einstein condensation, 2D photons

中图分类号: (Quantum optics)

42.50.-p

03.75.Hh (Static properties of condensates; thermodynamical, statistical, and structural properties) 67.85.Hj (Bose-Einstein condensates in optical potentials)

Ze Cheng(成泽). Statistical properties of ideal photons in a two-dimensional dye-filled spherical cap cavity[J]. 中国物理B, 2024, 33(10): 104206-104206.

Ze Cheng(成泽). Statistical properties of ideal photons in a two-dimensional dye-filled spherical cap cavity[J]. Chin. Phys. B, 2024, 33(10): 104206-104206.

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Statistical properties of ideal photons in a two-dimensional dye-filled spherical cap cavity

Statistical properties of ideal photons in a two-dimensional dye-filled spherical cap cavity

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