The test-particle induced inhomogeneous direct correlation functions and extensions of Widom's theorem: Impacts on the incremental chemical potentials and high-order correlation functions

2013 ◽  
Vol 139 (15) ◽  
pp. 154501 ◽  
Author(s):  
Lloyd L. Lee
Keyword(s):  
Test Particle ◽  
Correlation Functions ◽  
High Order ◽  
Chemical Potentials ◽  
High Order Correlation

Characterization of Microstructure of Fibrous Composites Using High-Order Correlation Functions

2015 ◽  
Vol 243 ◽  
pp. 121-129
Author(s):  
Mikhail Tashkinov
Keyword(s):  
Correlation Functions ◽  
Microstructural Characterization ◽  
High Order ◽  
Fibrous Composites ◽  
Representative Volume ◽  
Representative Volume Elements ◽  
High Order Correlation

This paper introduces the methodology of microstructural characterization of fibrous composites using correlation functions of different orders. Its implementation is demonstrated on several examples of modeled representative volume elements. The ways of obtaining values of the functions as well as the procedure of their approximation are presented. The possible applications of such methodology are discussed.

HIGH-ORDER PHOTON-NUMBER CORRELATIONS: A RESOURCE FOR CHARACTERIZATION AND APPLICATIONS OF QUANTUM STATES

2012 ◽  
Vol 10 (08) ◽  
pp. 1241003 ◽  
Author(s):  
ALESSIA ALLEVI ◽  
STEFANO OLIVARES ◽  
MARIA BONDANI
Keyword(s):  
Correlation Functions ◽  
Photon Number ◽  
High Order ◽  
Quantum States ◽  
Quantum Behavior ◽  
Twin Beam ◽  
High Order Correlation ◽  
Analytical Expressions ◽  
Good Agreement ◽  
Classical States

We measure high-order correlation functions of detected-photon numbers in the mesoscopic regime by means of hybrid photodetectors. The analytical expressions for correlations are evaluated in terms of quantities that can be experimentally accessed by a selfconsistent analysis of the detectors' outputs. We demonstrate that high-order correlations can be used to characterize the nature of the optical states, for instance by better discriminating between classical and quantum behavior even in critical situations, such as multimode twin-beam state. The results are in very good agreement with the theory, both for classical states and quantum states.

scholarly journals Quantum random walks with multiphoton interference and high-order correlation functions

2013 ◽  
Vol 30 (6) ◽  
pp. 1538 ◽  
Author(s):  
Bryan T. Gard ◽  
Robert M. Cross ◽  
Petr M. Anisimov ◽  
Hwang Lee ◽  
Jonathan P. Dowling
Keyword(s):  
Random Walks ◽  
Correlation Functions ◽  
High Order ◽  
Quantum Random Walks ◽  
High Order Correlation
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