Population Fluctuation Mechanism of the Super-Thermal Photon Statistic of Quantum LEDs with Collective Effects

IF 2.2 4区 物理与天体物理 Q2 PHYSICS, MULTIDISCIPLINARY
Igor E. Protsenko, Alexander V. Uskov
{"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":"The analytical procedure is developed for the calculation of the quantum second-order autocorrelation function <span data-altimg=\"/cms/asset/c04eb43b-8081-4d91-b228-a6263916f629/andp202400121-math-0001.png\"></span><math altimg=\"urn:x-wiley:00033804:media:andp202400121:andp202400121-math-0001\" display=\"inline\" location=\"graphic/andp202400121-math-0001.png\">\n<semantics>\n<msub>\n<mi>g</mi>\n<mn>2</mn>\n</msub>\n$g_2$</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 data-altimg=\"/cms/asset/518c0dff-9838-462f-b416-10c7c494a6ad/andp202400121-math-0002.png\"></span><math altimg=\"urn:x-wiley:00033804:media:andp202400121:andp202400121-math-0002\" display=\"inline\" location=\"graphic/andp202400121-math-0002.png\">\n<semantics>\n<mrow>\n<msub>\n<mi>g</mi>\n<mn>2</mn>\n</msub>\n<mo>&gt;</mo>\n<mn>2</mn>\n</mrow>\n$g_2 &amp;gt; 2$</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 data-altimg=\"/cms/asset/a7592235-e0e8-4814-873b-0023cb1905cf/andp202400121-math-0003.png\"></span><math altimg=\"urn:x-wiley:00033804:media:andp202400121:andp202400121-math-0003\" display=\"inline\" location=\"graphic/andp202400121-math-0003.png\">\n<semantics>\n<mrow>\n<mi>n</mi>\n<mo>→</mo>\n<mn>0</mn>\n</mrow>\n$n \\rightarrow 0$</annotation>\n</semantics></math>, is the result of a combined effect of the spontaneous emission, collective effects and population fluctuations. Analytical expressions for <span data-altimg=\"/cms/asset/737eff4a-0e3f-40b7-9fd0-26aef1519e97/andp202400121-math-0004.png\"></span><math altimg=\"urn:x-wiley:00033804:media:andp202400121:andp202400121-math-0004\" display=\"inline\" location=\"graphic/andp202400121-math-0004.png\">\n<semantics>\n<msub>\n<mi>g</mi>\n<mn>2</mn>\n</msub>\n$g_2$</annotation>\n</semantics></math> and <span data-altimg=\"/cms/asset/5e3745e2-ddb9-4d6f-bb75-2a6e97229be7/andp202400121-math-0005.png\"></span><math altimg=\"urn:x-wiley:00033804:media:andp202400121:andp202400121-math-0005\" display=\"inline\" location=\"graphic/andp202400121-math-0005.png\">\n<semantics>\n<mi>n</mi>\n$n$</annotation>\n</semantics></math> are derived.","PeriodicalId":7896,"journal":{"name":"Annalen der Physik","volume":null,"pages":null},"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://doi.org/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 g 2 $g_2$ 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 g 2 > 2 $g_2 &gt; 2$ of a small quantum LED with large photon number fluctuations, emitter-field coupling, bad cavity, and operating in the limit n 0 $n \rightarrow 0$ , is the result of a combined effect of the spontaneous emission, collective effects and population fluctuations. Analytical expressions for g 2 $g_2$ and n $n$ are derived.

Abstract Image

具有集体效应的量子发光二极管超热光子统计的种群波动机制
为计算小型超辐射发光二极管的量子二阶自相关函数 g2$g_2$ 开发了一种分析程序,在这种情况下,有源介质的场、极化和种群不能被绝热消除。研究发现了朗格文力,它描述了种群波动对发光二极管极化的影响,并保留了算子换向关系。研究证明,具有大光子数波动、发射器-场耦合、坏腔的小型量子发光二极管在极限 n→0$n \rightarrow 0$ 工作时,其 g2>2$g_2 &gt; 2$ 的超热光子统计是自发辐射、集体效应和种群波动共同作用的结果。推导出了 g2$g_2$ 和 n$n$ 的分析表达式。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
求助全文
约1分钟内获得全文 求助全文
来源期刊
Annalen der Physik
Annalen der Physik 物理-物理:综合
CiteScore
4.50
自引率
8.30%
发文量
202
审稿时长
3 months
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.
文献相关原料
公司名称 产品信息 采购帮参考价格
×
引用
GB/T 7714-2015
复制
MLA
复制
APA
复制
导出至
BibTeX EndNote RefMan NoteFirst NoteExpress
×
提示
您的信息不完整,为了账户安全,请先补充。
现在去补充
×
提示
您因"违规操作"
具体请查看互助需知
我知道了
×
提示
确定
请完成安全验证×
copy
已复制链接
快去分享给好友吧!
我知道了
右上角分享
点击右上角分享
0
联系我们:info@booksci.cn Book学术提供免费学术资源搜索服务,方便国内外学者检索中英文文献。致力于提供最便捷和优质的服务体验。 Copyright © 2023 布克学术 All rights reserved.
京ICP备2023020795号-1
ghs 京公网安备 11010802042870号
Book学术文献互助
Book学术文献互助群
群 号:481959085
Book学术官方微信