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

作　　者：Ze Cheng 成泽(School of Physics,Huazhong University of Science and Technology,Wuhan 430074,China)

机构地区：[1]School of Physics,Huazhong University of Science and Technology,Wuhan 430074,China

出　　处：《Chinese Physics B》2024年第10期258-268,共11页中国物理B（英文版）

基　　金：supported by the National Natural Science Foundation of China(Grant Nos.10174024 and 10474025).

摘　　要：Within the framework of quantum statistical mechanics,we have proposed an exact analytical solution to the problemof Bose-Einstein condensation(BEC)of harmonically trapped two-dimensional(2D)ideal photons.We utilize this analyticalsolution to investigate the statistical properties of ideal photons in a 2D dye-filled spherical cap cavity.The resultsof numerical calculation of the analytical solution agree completely with the foregoing experimental results in the BEC ofharmonically trapped 2D ideal photons.The analytical expressions of the critical temperature and the condensate fractionare 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 sharppeak 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 

分 类 号：O469[理学—凝聚态物理]