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We report experimental measurements of the second-order coherence function $g^{(2)}(\tau)$ of the light emitted by a laser-driven dense ensemble of $^{87}$Rb atoms. We observe a clear departure from the Siegert relation valid for Gaussian…

We present a quantum theory of a spaser-based nanolaser, under the bad-cavity approximation. We find first- and second-order correlation functions $g^{(1)} (\tau)$ and $g^{(2)}(\tau)$ below and above the generation threshold, and obtain the…

Mesoscale and Nanoscale Physics · Physics 2014-06-02 Vladimir M. Parfenyev , Sergey S. Vergeles

The Siegert relation relates the electric field and intensity correlations of light, under given assumptions. After a brief history of intensity correlations, we give a derivation of the relation. Then we present an experiment, which can be…

Atomic Physics · Physics 2020-10-28 Dilleys Ferreira , Romain Bachelard , William Guerin , Robin Kaiser , Mathilde Fouché

We derive a model for a single mode laser that includes all two particle quantum correlations between photons and electrons. In contrast to the predictions of semi-classical models, we find that lasing takes place in the presence of quantum…

We argue that (first-order) coherence is a relative, and not an absolute, property. It is shown how feedforward or feedback can be employed to make two (or more) lasers relatively coherent. We also show that after the relative coherence is…

Quantum Physics · Physics 2016-08-16 Hoshang Heydari , Gunnar Björk

We detail the derivation of nanolaser models that include coherent and incoherent variables and predict the existence of a laser threshold, irrespective of cavity size and emitter number, for both single- and multi-electron systems. The…

Phase difference is central to classical coherence theory. With the advancement of various light-field modulation techniques, artificially generated pseudo-thermal light sources or random light beams can exhibit exotic wavefront correlation…

Optics · Physics 2026-05-25 Yi Cui , Wanting Hou , Jun Xiong , Zhiyuan Ye

The second-order coherence of light is a widely recognized physical quantity used to assess the quantum characteristics of light, and its properties have been extensively investigated in the field of quantum optics. Recently, it has been…

Quantum Physics · Physics 2024-07-15 Masanori Tomonaga , Yasusada Nambu

Nanolasers based on emerging dielectric cavities with deep sub-wavelength confinement of light offer a large light-matter coupling rate and a near-unity spontaneous emission factor, $\beta$. These features call for reconsidering the…

Optics · Physics 2023-09-01 Marco Saldutti , Yi Yu , Jesper Mørk

Optical coherence encodes information about the correlations of the electromagnetic field. In combination with quantum optical approaches, it allows for the study of the correlations between photons. Since the pioneering papers of Glauber,…

Quantum Physics · Physics 2025-04-21 Philipp Stammer , Javier Rivera-Dean , Maciej Lewenstein

Light is characterized by its electric field, yet quantum optics has revealed the importance of monitoring photon-photon correlations at all orders. We here present a comparative study of two experimental setups, composed of cold and warm…

Due to the high spontaneous emission coupled into the resonance mode in metallic nanolasers, there has been a debate concerning the coherence properties of this family of light sources. The second-order coherence function can unambiguously…

We propose a new sensing method based on the measurement of the second-order autocorrelation of the output of micro- and nanolasers with intensity feedback. The sensing function is implemented through the feedback-induced threshold shift,…

Optics · Physics 2021-05-31 T. Wang , C. Jiang , J. Zou , H. Zhou , X. Lin , H. Chen , G. P. Puccioni , G. Wang , G. L. Lippi

The creation of nanoscale lasers that operate above a coherent threshold is a challenging problem. We propose a way to circumvent this issue using systems in which a strong coupling regime is achieved between the light and the active…

Using two equivalent approaches, Heisenberg-Langevin and density operator, we investigate the properties of nanolaser: an incoherently pumped single two-level system interacting with a single-cavity mode of finite finesse. We show that in…

Optics · Physics 2013-08-09 Nikolay V. Larionov , Mikhail I. Kolobov

Coherence is a familiar concept in physics: It is the driving force behind wavelike phenomena such as the diffraction of light. Moreover, wave-particle duality implies that all quantum objects can exhibit coherence, and this quantum…

Quantum Physics · Physics 2009-11-11 Brendon W. Lovett , Ahsan Nazir

The Siegert relation relates field and intensity temporal correlations. After a historical review of the Siegert relation and the Hanbury Brown and Twiss effect, we discuss the validity of this relation in two different domains. We first…

The principle of microscopic reversibility is a fundamental element in the formulation of fluctuation relations and the Onsager reciprocal relations. As such, a clear description of whether and how this principle is adapted to the quantum…

Quantum Physics · Physics 2023-10-25 K. Khan , W. F. Magalhaes , Jailson S. Araujo , B. de Lima Bernardo , Gabriel H. Aguilar

Coherent quantum optics, where the interaction of a photon with an emitter does not scramble phase coherence, lies at the heart of many quantum optical effects and emerging technologies. Solid-state emitters coupled to nanophotonic…

Characterizing quantum materials is essential for understanding their microscopic interactions and advancing quantum technology. X-ray photon correlation spectroscopy (XPCS) with coherent X-ray sources offers access to higher-order…

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