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 Annalen der Physik Pub Date : 2024-07-10 DOI:10.1002/andp.202400121

Igor E. Protsenko, Alexander V. Uskov

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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 $g_2 > 2$

of a small quantum LED with large photon number fluctuations, emitter-field coupling, bad cavity, and operating in the limit

n \to 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.

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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$g_2 > 2$ 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。

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来源期刊

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.