Superthermal photon bunching in terms of simple probability distributions

Superthermal photon bunching in terms of simple probability distributions
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DOI:
10.1103/physreva.97.053835
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发表时间:
2018-02
期刊:
影响因子:
2.9
通讯作者:
T. Lettau;H. Leymann;B. Melcher;J. Wiersig
T. Lettau;H. Leymann;B. Melcher;J. Wiersig
中科院分区:
物理与天体物理2区
文献类型:
--
作者:
T. Lettau;H. Leymann;B. Melcher;J. Wiersig

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我们分析了二阶光子自相关函数$g^{(2)}$关于光子概率分布,并讨论了导致超热光子束($g^{(2)}>2$)的分布的一般特征。据报道,在许多光学微腔系统中,超热光子聚束表现出超辐射或模式竞争等过程。我们证明了如果只给出强度和二阶自相关,就不能从最大熵原理构造出过热光子数分布。然而,对于双峰系统,一个无偏的超热分布可以由二阶相关和强度单独构造。我们的研究结果表明,通过热态和类激光态的混合来模拟过热单模分布,从而揭示了光子概率分布中产生过热光子束的一般机制。我们将我们的一般考虑联系到一个物理系统,一个(单发射器)双峰激光,并表明其统计数据可以在我们提出的模型中近似和理解。此外,双峰激光的统计数据与我们的模型非常吻合,表明双峰激光是一个理想的光子束源,因为它可以产生除了超热聚束之外不包含其他特征的统计数据。
We analyze the second-order photon autocorrelation function $g^{(2)}$ with respect to the photon probability distribution and discuss the generic features of a distribution that result in superthermal photon bunching ($g^{(2)}>2$). Superthermal photon bunching has been reported for a number of optical microcavity systems that exhibit processes like superradiance or mode competition. We show that a superthermal photon number distribution cannot be constructed from the principle of maximum entropy, if only the intensity and the second-order autocorrelation are given. However, for bimodal systems an unbiased superthermal distribution can be constructed from second-order correlations and the intensities alone. Our findings suggest modeling superthermal single-mode distributions by a mixture of a thermal and a lasing like state and thus reveal a generic mechanism in the photon probability distribution responsible for creating superthermal photon bunching. We relate our general considerations to a physical system, a (single-emitter) bimodal laser, and show that its statistics can be approximated and understood within our proposed model. Furthermore the excellent agreement of the statistics of the bimodal laser and our model reveal that the bimodal laser is an ideal source of bunched photons, in the sense that it can generate statistics that contain no other features but the superthermal bunching.