Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Log inSign up
Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Blog
Job Board
Q3AS

© 2026 Aqora Quantum S.A.S.

TermsPrivacyLegal Notice

Journal of Modern Optics

Phase States and Their Statistical Properties

Ravinder Nath, Pradumn Kumar

Published Dec 1, 1989• 7 citations
Publisher

Abstract

We study the statistical properties of radiation in the single-mode phase states by evaluating the expression for the photon-counting distribution and its factorial moments. A detailed comparison has been made of the properties of phase states with those of coherent and chaotic states.
DOI
10.1080/09500348914551731

Related papers

Factorial moment of the photon counting distribution of gaussian-lorentzian light under various spatial coherence

Hideaki Satō, Norihito Suzuki

Optics Communications•May 1, 1980•4 citations

Statistical properties of radiation in phase state

Ravinder Nath

Lettere al nuovo cimento della societa italiana di fisica/Lettere al nuovo cimento•Jun 1, 1979•2 citations

Statistical properties of counting distributions for intensity-modulated sources

Paul R. Prucnal, Malvin Carl Teich

Statistical properties such as the cumulants, and the central, factorial, and ordinary moments are obtained for photocounting distributions when the incident radiation is intensity-modulated with arbitrary statistics. The results are applied in some detail to the cases of triangular, sinusoidal, and square-wave modulation of multimode superposed coherent and chaotic radiation. The coefficient of variation, skewness, and kurtosis are obtained as a function of modulation depth. Comparison is made with experimental data in the cases of triangular and sinusoidal modulation of a laser source.

Journal of the Optical Society of America•Apr 1, 1979•15 citations

Quasi-photon Phase States

Ravinder Nath, Pradumn Kumar

We introduce quasi-photon phase states of radiation in the single mode, and study the fluctuations in the measured phase operators. We also show that these states exhibit bunching, unlike coherent states which show no bunching.

Journal of Modern Optics•Feb 1, 1991•19 citations

Photon Statistics of Fluorescence Radiation

Henk F. Arnoldus, Gerard Nienhuis

We study the general properties of the photon statistics of fluorescence radiation, emitted by a two-level atom in a strong laser field and a perturber bath. We investigate the deviation of the factorial moments from a Poisson distribution, and we show that for long counting times the lowest-order correction can be expressed entirely by the quantity Q, which represents the deviation of the variance from the average. We introduce and evaluate the quantities gn(t), which serve as a measure for the deviation of the higher-order statistics from Poissonian statistics. Subsequently we obtain explicit expressions for the average waiting time for the appearance of the n th photon, after an arbitrary initialization of the counting process. It turns out that the average time delay is again determined by Q. Hence this parameter can be measured in a photon-counting experiment, which involves only the observation of a single photon, rather than an (in principle) infinite number of photons.

Optica Acta International Journal of Optics•Jun 1, 1986•15 citations

Phase Properties of Squeezed Number States

Ravinder Nath, Pradumn Kumar

We have studied the phase properties of the squeezed number states by evaluating the expression for the phase probability distribution and the phase variance. In addition, the expression for the photon number distribution of the squeezed phase states has been evaluated.

Journal of Modern Optics•Aug 1, 1991•10 citations
Statistical properties such as the cumulants, and the central, factorial, and ordinary moments are obtained for photocounting distributions when the incident radiation is intensity-modulated with arbitrary statistics. The results are applied in some detail to the cases of triangular, sinusoidal, and square-wave modulation of multimode superposed coherent and chaotic radiation. The coefficient of variation, skewness, and kurtosis are obtained as a function of modulation depth. Comparison is made with experimental data in the cases of triangular and sinusoidal modulation of a laser source.
We study the general properties of the photon statistics of fluorescence radiation, emitted by a two-level atom in a strong laser field and a perturber bath. We investigate the deviation of the factorial moments from a Poisson distribution, and we show that for long counting times the lowest-order correction can be expressed entirely by the quantity Q, which represents the deviation of the variance from the average. We introduce and evaluate the quantities gn(t), which serve as a measure for the deviation of the higher-order statistics from Poissonian statistics. Subsequently we obtain explicit expressions for the average waiting time for the appearance of the n th photon, after an arbitrary initialization of the counting process. It turns out that the average time delay is again determined by Q. Hence this parameter can be measured in a photon-counting experiment, which involves only the observation of a single photon, rather than an (in principle) infinite number of photons.