{"title":"Population Fluctuation Mechanism of the Super-Thermal Photon Statistic of Quantum LEDs with Collective Effects","authors":"Igor E. Protsenko, Alexander V. Uskov","doi":"10.1002/andp.202400121","DOIUrl":null,"url":null,"abstract":"<p>The analytical procedure is developed for the calculation of the quantum second-order autocorrelation function <span></span><math>\n <semantics>\n <msub>\n <mi>g</mi>\n <mn>2</mn>\n </msub>\n <annotation>$g_2$</annotation>\n </semantics></math> of a small super-radiant LED, where the field, polarisation, and population of the active medium cannot be eliminated adiabatically. The Langevin force, which describes the effect of population fluctuations on the LED polarisation and preserves the operator commutation relations, is found. It is demonstrated that the super-thermal photon statistics with <span></span><math>\n <semantics>\n <mrow>\n <msub>\n <mi>g</mi>\n <mn>2</mn>\n </msub>\n <mo>></mo>\n <mn>2</mn>\n </mrow>\n <annotation>$g_2 &gt; 2$</annotation>\n </semantics></math> of a small quantum LED with large photon number fluctuations, emitter-field coupling, bad cavity, and operating in the limit <span></span><math>\n <semantics>\n <mrow>\n <mi>n</mi>\n <mo>→</mo>\n <mn>0</mn>\n </mrow>\n <annotation>$n \\rightarrow 0$</annotation>\n </semantics></math>, is the result of a combined effect of the spontaneous emission, collective effects and population fluctuations. Analytical expressions for <span></span><math>\n <semantics>\n <msub>\n <mi>g</mi>\n <mn>2</mn>\n </msub>\n <annotation>$g_2$</annotation>\n </semantics></math> and <span></span><math>\n <semantics>\n <mi>n</mi>\n <annotation>$n$</annotation>\n </semantics></math> are derived.</p>","PeriodicalId":7896,"journal":{"name":"Annalen der Physik","volume":"536 10","pages":""},"PeriodicalIF":2.2000,"publicationDate":"2024-07-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Annalen der Physik","FirstCategoryId":"101","ListUrlMain":"https://onlinelibrary.wiley.com/doi/10.1002/andp.202400121","RegionNum":4,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"PHYSICS, MULTIDISCIPLINARY","Score":null,"Total":0}
引用次数: 0
Abstract
The analytical procedure is developed for the calculation of the quantum second-order autocorrelation function of a small super-radiant LED, where the field, polarisation, and population of the active medium cannot be eliminated adiabatically. The Langevin force, which describes the effect of population fluctuations on the LED polarisation and preserves the operator commutation relations, is found. It is demonstrated that the super-thermal photon statistics with of a small quantum LED with large photon number fluctuations, emitter-field coupling, bad cavity, and operating in the limit , is the result of a combined effect of the spontaneous emission, collective effects and population fluctuations. Analytical expressions for and are derived.
期刊介绍:
Annalen der Physik (AdP) is one of the world''s most renowned physics journals with an over 225 years'' tradition of excellence. Based on the fame of seminal papers by Einstein, Planck and many others, the journal is now tuned towards today''s most exciting findings including the annual Nobel Lectures. AdP comprises all areas of physics, with particular emphasis on important, significant and highly relevant results. Topics range from fundamental research to forefront applications including dynamic and interdisciplinary fields. The journal covers theory, simulation and experiment, e.g., but not exclusively, in condensed matter, quantum physics, photonics, materials physics, high energy, gravitation and astrophysics. It welcomes Rapid Research Letters, Original Papers, Review and Feature Articles.