scholarly journals Autocorrelation functions: a useful tool for both state and detector characterisation

2019 ◽  
Vol 6 (1) ◽  
pp. 1-6 ◽  
Author(s):  
Giovanni Chesi ◽  
Alessia Allevi ◽  
Maria Bondani
Keyword(s):  
Autocorrelation Function ◽  
Second Order ◽  
Quantum States ◽  
Statistical Properties ◽  
Silicon Photomultiplier ◽  
Autocorrelation Functions ◽  
Twin Beam ◽  
Multi Mode

Abstract 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 states in order to fully investigate their statistical properties starting from measurable quantities. Moreover, we show that the second-order autocorrelation function is also useful to estimate the spurious effects affecting the employed Silicon-photomultiplier detectors.

Second-order statistical properties of a J0-correlated Schell-model beam in a turbulent atmosphere

2019 ◽  
Vol 224 ◽  
pp. 185-191 ◽  
Author(s):  
Yangsheng Yuan ◽  
Xianlong Liu ◽  
Jun Qu ◽  
Min Yao ◽  
Yaru Gao ◽  
...  
Keyword(s):  
Turbulent Atmosphere ◽  
Second Order ◽  
Statistical Properties

Bohm's Mysterious 'Quantum Force' and 'Active Information': Alternative Interpretation and Statistical Properties

2001 ◽  
Vol 56 (1-2) ◽  
pp. 205-207 ◽  
Author(s):  
Boon Leong Lan
Keyword(s):  
Time Series ◽  
Power Spectrum ◽  
Important Implication ◽  
Alternative Interpretation ◽  
Quantum States ◽  
Statistical Properties ◽  
Numerical Evidence ◽  
Stationary Quantum ◽  
Non Gaussian ◽  
Quantum Force

AbstractAn alternative interpretation to Bohm’s ‘quantum force’ and ‘active information’ is proposed. Numerical evidence is presented, which suggests that the time series of Bohm’s ‘quantum force’ evaluated at the Bohmian position for non-stationary quantum states are typically non-Gaussian stable distributed with a flat power spectrum in classically chaotic Hamitonian systems. An important implication of these statistical properties is briefly mentioned

scholarly journals Measuring Nonclassicality of Mesoscopic Twin-Beam States with Silicon Photomultipliers †

Proceedings ◽  
2019 ◽  
Vol 12 (1) ◽  
pp. 48
Author(s):  
Giovanni Chesi ◽  
Luca Malinverno ◽  
Alessia Allevi ◽  
Romualdo Santoro ◽  
Massimo Caccia ◽  
...  
Keyword(s):  
Quantum Information ◽  
Quantum Optics ◽  
Output Signal ◽  
Photon Number ◽  
Quantum States ◽  
Silicon Photomultipliers ◽  
Nonclassical Properties ◽  
Relevant Topic ◽  
Twin Beam ◽  
Proper Analysis

The study of nonclassical properties of quantum states is a relevant topic for fundamental Quantum Optics and Quantum Information applications. In the mesoscopic domain, promising results have been obtained using photon-number-resolving detectors. Here we show recent results achieved with the class of Silicon Photomultipliers: by a proper analysis of the output signal, the nonclassicality of twin-beam states can be detected and exploited.

First- and Second-Order PMD Statistical Properties of Constantly Spun Randomly Birefringent Fibers

2004 ◽  
Vol 22 (4) ◽  
pp. 1127-1136 ◽  
Author(s):  
A. Galtarossa ◽  
P. Griggio ◽  
L. Palmieri ◽  
A. Pizzinat
Keyword(s):  
Second Order ◽  
Statistical Properties

scholarly journals On the Enhanced Temporal Coherency of Radar Observations in Precipitation

2010 ◽  
Vol 49 (8) ◽  
pp. 1794-1804 ◽  
Author(s):  
A. R. Jameson ◽  
A. B. Kostinski
Keyword(s):  
Time Series ◽  
Autocorrelation Function ◽  
Doppler Velocity ◽  
Autocorrelation Functions ◽  
Coherent Scatter ◽  
Incoherent Scatter ◽  
The Family ◽  
The Times ◽  
Temporal Coherency ◽  
Coherent Backscatter

Abstract In this work, the authors present observations of enhanced temporal coherency beyond that expected using the observations of the standard deviation of the Doppler velocities and the assumption of a family of exponentially decaying autocorrelation functions. The purpose of this paper is to interpret these observations by developing the complex amplitude autocorrelation function when both incoherent and coherent backscatter are present. Using this expression, it is then shown that when coherent scatter is present, the temporal coherency increases as observed. Data are analyzed in snow and in rain. The results agree with the theoretical expectations, and the authors interpret this agreement as an indication that coherent scatter is the likely explanation for the observed enhanced temporal coherency. This finding does not affect decorrelation times measured using time series. However, when the time series is not available (as in theoretical studies), the times to decorrelation are often computed based upon the assumptions that the autocorrelation function is a member of the family of exponentially decaying autocorrelation functions and that the signal decorrelation is due solely to the Doppler velocity fluctuations associated with incoherent scatter. Such an approach, at times, may significantly underestimate the true required times to decorrelation thus leading to overestimates of statistical reliability of parameters.

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