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Robust and reliable method for reconstructing quasi-distributions of integrated intensities of twin beams generated in spontaneous parametric down-conversion and entangled in photon numbers is suggested. It utilizes the first and second…

Quantum Physics · Physics 2015-06-12 Jan Perina , Ondrej Haderka , Vaclav Michalek , Martin Hamar

We investigate the photon statistics of an ensemble of coherently driven non-interacting two-level atoms in the weak driving regime. As it turns out, the system displays unique emission characteristics that are strongly in contrast to the…

Quantum Physics · Physics 2024-11-27 M. Bojer , A. Cidrim , P. P. Abrantes , R. Bachelard , J. von Zanthier

Large, multi-frequency imaging surveys, such as the Large Synaptic Survey Telescope (LSST), need to do near-real time analysis of very large datasets. This raises a host of statistical and computational problems where standard methods do…

Instrumentation and Methods for Astrophysics · Physics 2015-05-20 Darren Homrighausen , Christopher Genovese , Andy Connolly , Andy Becker , Russell Owen

The aim of this paper is to introduce a new technique for calculation of observables, in particular multiplicity distributions, in various statistical ensembles at finite volume. The method is based on Fourier analysis of the grand…

Nuclear Theory · Physics 2008-12-18 M. Hauer , V. V. Begun , M. I. Gorenstein

Number theorists have studied extensively the connections between the distribution of zeros of the Riemann $\zeta$-function, and of some generalizations, with the statistics of the eigenvalues of large random matrices. It is interesting to…

Mathematical Physics · Physics 2009-10-31 E. Brezin , S. Hikami

Suppose we observe a trajectory of length $n$ from an exponentially $\alpha$-mixing stochastic process over a finite but potentially large state space. We consider the problem of estimating the probability mass placed by the stationary…

Machine Learning · Statistics 2025-06-09 Milind Nakul , Vidya Muthukumar , Ashwin Pananjady

Multiparametric statistical model providing stable reconstruction of parameters by observations is considered. The only general method of this kind is the root model based on the representation of the probability density as a squared…

Quantum Physics · Physics 2007-05-23 Yu. I. Bogdanov

The output of a photodetector consists of a current pulse whose charge has the statistical distribution of the actual photon numbers convolved with a Bernoulli distribution. Photodetectors are characterized by a nonunit quantum efficiency,…

Quantum Physics · Physics 2015-06-26 G. Zambra , M. G. A. Paris

We theoretically study cooperative effects in the steady-state transmission of photons through a medium of $N$ radiators. Using methods from quantum transport, we find a cross-over in scaling from $N$ to $N^2$ in the current and even higher…

Quantum Physics · Physics 2011-09-19 Malte Vogl , Gernot Schaller , Tobias Brandes

The quantum statistics of particles is determined by both the spins and the indistinguishability of quantum states. Here we studied the quantum statistics of partially distinguishable photons by defining the multi-photon…

Quantum Physics · Physics 2017-08-16 Fang-Wen Sun , Ao Shen , Yang Dong , Xiang-Dong Chen , Guang-Can Guo

Optomechanical systems are rapidly becoming one of the most promising platforms for observing quantum behaviour, especially at the macroscopic level. Moreover, thanks to their state-of-the-art methods of fabrication, they may now enter…

Quantum Physics · Physics 2022-09-21 Lewis A. Clark , Bartosz Markowicz , Jan Kołodyński

We consider a density estimation problem arising in nuclear physics. Gamma photons are impinging on a semiconductor detector, producing pulses of current. The integral of this pulse is equal to the total amount of charge created by the…

Statistics Theory · Mathematics 2007-06-13 Eric Moulines , Francois Roueff , Antoine Souloumiac , Thomas Trigano

Recent experimental observations have found two different kinds of ``strange kinetic behaviors" in individual semiconductor nanocrystals (or quantum dots). Fluorescence intermittency observed in the quantum dots shows power--law statistics…

Statistical Mechanics · Physics 2009-11-07 YounJoon Jung , Eli Barkai , Robert J. Silbey

A commonly held tenet is that lasers well above threshold emit photons in a coherent state, which follow a Poissonian statistics when measured in photon number. This feature is often exploited to build quantum-based random number generators…

Quantum Physics · Physics 2018-09-10 J. F. Dynes , M. Lucamarini , K. A. Patel , A. W. Sharpe , Z. L. Yuan , A. J. Shields

In the last ten years, the employment of symbolic methods has substantially extended both the theory and the applications of statistics and probability. This survey reviews the development of a symbolic technique arising from classical…

Statistics Theory · Mathematics 2015-12-29 Elvira Di Nardo

We report nonclassical aspects of the collective behaviour of two atoms in a cavity by investigating the photon statistics and photon distribution in a very broad domain of parameters. Starting with the dynamics of two atoms radiating in…

Quantum Physics · Physics 2018-02-22 M. -O. Pleinert , J. von Zanthier , G. S. Agarwal

Multi-person pose estimation is fundamental to many computer vision tasks and has made significant progress in recent years. However, few previous methods explored the problem of pose estimation in crowded scenes while it remains…

Computer Vision and Pattern Recognition · Computer Science 2019-01-24 Jiefeng Li , Can Wang , Hao Zhu , Yihuan Mao , Hao-Shu Fang , Cewu Lu

We present a straightforward yet comprehensive theoretical study of different quantum states emerging from a bi-modal beamsplitter when various input states interfere. Specifically, we analyze the output states for different combinations of…

Quantum Physics · Physics 2026-01-13 Jhordan A. T. Santiago

The mediated photon-photon interaction due to the resonant Kerr nonlinearity in an inhomogeneously broadened atomic vapor is considered. The time-scale for photon-photon scattering is computed and found to be determined by the inhomogeneous…

Optics · Physics 2009-11-06 M. W. Mitchell , R. Y. Chiao

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