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We present measurements of the second order spatial coherence function of thermal light sources using Hanbury-Brown and Twiss interferometry with a digital correlator. We demonstrate that intensity fluctuations between orthogonal…

Instrumentation and Methods for Astrophysics · Physics 2017-08-21 Nolan Matthews , David Kieda , Stephan LeBohec

The calculation of autocorrelation functions represents a routinely used tool to characterise quantum states of light. In this paper, we evaluate the $g^{(2)}$ function for detected photons in the case of mesoscopic multi-mode twin-beam…

Quantum Physics · Physics 2018-12-10 Giovanni Chesi , Alessia Allevi , Maria Bondani

We report the observed photon bunching statistics of biexciton cascade emission at zero time delay in single quantum dots by second-order correlation function measurements under continuous wave excitation. It is found that the bunching…

Mesoscale and Nanoscale Physics · Physics 2016-01-20 X. F. Wu , X. M. Dou , K. Ding , P. Y. Zhou , H. Q. Ni , Z. C. Niu , H. J. Zhu , D. S. Jiang , C. L. Zhao , B. Q. Sun

We report the first intensity correlation measured with star light since Hanbury Brown and Twiss' historical experiments. The photon bunching $g^{(2)}(\tau, r=0)$, obtained in the photon counting regime, was measured for 3 bright stars,…

Instrumentation and Methods for Astrophysics · Physics 2018-08-14 W. Guerin , A. Dussaux , M. Fouché , G. Labeyrie , J. -P. Rivet , D. Vernet , F. Vakili , R. Kaiser

An important topic of interest in imaging is the construction of protocols that are not diffraction limited. This can be achieved in a variety of ways, including classical superresolution techniques or quantum entanglement-based protocols.…

Quantum Physics · Physics 2015-10-28 Mark E. Pearce , Thomas Mehringer , J. von Zanthier , Pieter Kok

The Hong-Ou-Mandel effect provides a mechanism to determine the distinguishability of a photon pair by measuring the bunching rates of two photons interfering at a beam splitter. Of particular interest is the distinguishability in time,…

Quantum Physics · Physics 2022-12-28 Hannah Scott , Dominic Branford , Niclas Westerberg , Jonathan Leach , Erik M. Gauger

Among the best known quantities obtainable from photon correlation measurements are the $g^{(m)}$~correlation functions. Here, we introduce a new procedure to evaluate these correlation functions based on higher-order factorial cumulants…

Mesoscale and Nanoscale Physics · Physics 2022-05-24 Philipp Stegmann , Satyendra Nath Gupta , Gilad Haran , Jianshu Cao

A scheme is discussed for measuring Nth-order coherences of two orthogonally polarized light fields in a single spatial mode at very limited experimental cost. To implement the scheme, the only measurements needed are the Nth-order…

Quantum Physics · Physics 2010-02-05 Uwe Schilling , Joachim von Zanthier , Girish S. Agarwal

The Hong-Ou-Mandel interference effect lies at the heart of many emerging quantum technologies whose performance can be significantly enhanced with increasing numbers of entangled modes one could measure and thus utilize. Photon pairs…

Quantum Physics · Physics 2022-06-08 Xiaoqin Gao , Yingwen Zhang , Alessio D'Errico , Khabat Heshami , Ebrahim Karimi

Any characterization of a single-photon source is not complete without specifying its second-order degree of coherence, i.e., its $g^{(2)}$ function. An accurate measurement of such coherence functions commonly requires high-precision…

Quantum Physics · Physics 2009-09-12 M. Razavi , I. Söllner , E. Bocquillon , C. Couteau , R. Laflamme , G. Weihs

We report on measurements of second-order intensity correlations $g^{(2)}(\tau)$ of infrared emission under bichromatic excitation at 589.2\,nm and 569.0\,nm of sodium atoms contained in a buffer-gas-free and uncoated 10-cm-long vapor cell.…

We present a new method to obtain the first-order temporal correlation function, $g^{(1)} (\tau)$, of the light scattered by an assembly of point-like quantum scatterers, or equivalently its spectral power distribution. This new method is…

The conformal covariance of correlation functions is checked in the second-order transition induced by random bonds in the two-dimensional 8-state Potts model. The decay of correlations is obtained {\it via} transfer matrix calculations in…

Statistical Mechanics · Physics 2009-10-31 Christophe Chatelain , Bertrand Berche

It is not widely appreciated that many subtleties are involved in the accurate measurement of intensity-correlated photons; even for the original experiments of Hanbury Brown and Twiss (HBT). Using a monolithic 4x4 array of single-photon…

Quantum Physics · Physics 2009-08-12 D. L. Boiko , N. J. Gunther , N. Brauer , M. Sergio , C. Niclass , G. B. Beretta , E. Charbon

We experimentally study the coherence time of a below-threshold Raman laser in which the gain medium is a gas of magneto-optically trapped atoms. The second-order optical coherence exhibits photon bunching with a correlation time which is…

Optics · Physics 2020-09-28 Graeme Harvie , Adam Butcher , Jon Goldwin

Quantum states of light with multiple spatial modes are fundamental for quantum imaging and parallel quantum information processing. Thus, their characterization, which can be achieved through measurements of the coherence area, is an…

Optics · Physics 2018-11-09 Ashok Kumar , Hayden Nunley , Alberto M. Marino

Critical opalescence is a characteristic experimental signature of a second order phase transition in solid state physics. A new, experimentally accessible measure of opacity and of attenuation length in heavy ion reactions is suggested, as…

Nuclear Theory · Physics 2010-02-09 T. Csorgo

Large area lensing surveys are expected to make it possible to use cosmic shear tomography as a tool to severely constrain cosmological parameters. To this end, one typically relies on second order statistics such as the two - point…

Cosmology and Nongalactic Astrophysics · Physics 2016-06-30 M. Vicinanza , V. F. Cardone , R. Maoli , R. Scaramella , X. Er

Quantum optics experiments, involving the measurement of low-probability photon events, are known to be extremely time-consuming. We present a new methodology for accelerating such experiments using physically-motivated ansatzes together…

Quantum Physics · Physics 2020-06-11 Cristian L. Cortes , Sushovit Adhikari , Xuedan Ma , Stephen K. Gray

This article concerns second-order time discretization of subdiffusion equations with time-dependent diffusion coefficients. High-order differentiability and regularity estimates are established for subdiffusion equations with…

Numerical Analysis · Mathematics 2020-06-05 Bangti Jin , Buyang Li , Zhi Zhou