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Statistical moments of particle multiplicities in heavy-ion collision experiments are an important probe in the exploration of the phase diagram of strongly interacting matter and, particularly, in the search for the QCD critical end point.…

High Energy Physics - Phenomenology · Physics 2017-09-01 Maurício Hippert , Eduardo S. Fraga

While investigating quantum correlations in atomic systems, we note that single measurements contain information about these correlations. Using a simple model of measurement -- analogous to the one used in quantum optics -- we show how to…

Soft Condensed Matter · Physics 2009-11-10 Radka Bach , Kazimierz Rzazewski

We introduce a fast spatial point pattern analysis technique which is suitable for systems of many identical particles giving rise to multi-particle correlations up to arbitrary order. The obtained correlation parameters allow to quantify…

Soft Condensed Matter · Physics 2021-04-29 Rüdiger Kürsten , Sven Stroteich , Martín Zumaya Hérnandez , Thomas Ihle

Correlations between different partitions of quantum systems play a central role in a variety of many-body quantum systems, and they have been studied exhaustively in experimental and theoretical research. Here, we investigate dynamical…

Quantum-statistical correlation measurements in high-energy physics represent an important tool to obtain information about the space-time structure of the particle-emitting source. There are several final state effects which may modify the…

High Energy Physics - Phenomenology · Physics 2023-09-27 Mate Csanad , Antal Jakovac , Sandor Lokos , Ayon Mukherjee , Srikanta Kumar Tripathy

Two-particle correlations are a widely used tool for studying relativistic nuclear collisions. Multiplicity fluctuations comparing charge and particle species have been studied as a possible signal for Quark-Gluon Plasma (QGP) and the QCD…

Nuclear Theory · Physics 2023-01-09 Mary Cody , Sean Gavin , Brendan Koch , Mark Kocherovsky , Zoulfekar Mazloum , George Moschelli

Interferometry is one of the most powerful experimental tools of modern astrophysics. Some of its methods are considered in view of potential applicability to studies of correlations in multiparticle dynamics.

High Energy Physics - Phenomenology · Physics 2017-08-23 L. I. Gurvits

Accurate interaction potentials between microscopic components such as colloidal particles or cells are crucial to understanding a range of processes, including colloidal crystallization, bacterial colony formation, and cancer metastasis.…

In this paper we discuss the relation of particle number cumulants and correlation functions. It is argued that measuring couplings of the genuine multi-particle correlation functions could provide cleaner information on possible…

Nuclear Theory · Physics 2017-05-17 Adam Bzdak , Volker Koch , Nils Strodthoff

A unified framework for describing the azimuthal dependence of two-particle correlations in heavy-ion collisions is introduced, together with the methods for measuring the corresponding observables. The generalization to azimuthal…

Nuclear Theory · Physics 2007-05-23 Nicolas Borghini

We advocate a simple multipole expansion of the polarisation density matrix. The resulting multipoles appear as successive moments of the Stokes variables and can be obtained from feasible measurements. In terms of these multipoles, we…

Factorial moments are convenient tools in particle physics to characterize the multiplicity distributions when phase-space resolution ($\Delta$) becomes small. They include all correlations within the system of particles and represent…

Statistical Finance · Quantitative Finance 2011-08-31 Laurent Schoeffel

In addition to its importance in describing high-energy processes themselves, the dynamics of multiparticle production is part of the general field of non-linear phenomena and complex systems. Multiparticle dynamics is one of the rare…

High Energy Physics - Phenomenology · Physics 2007-05-23 W. Kittel

There is an enormous amount of information that can be extracted from the data of a quantum gas microscope that has yet to be fully explored. The quantum gas microscope has been used to directly measure magnetic order, dynamic correlations,…

Strongly Correlated Electrons · Physics 2016-09-27 Norm M. Tubman

It has been demonstrated that factorial moments analysis in dependence from the size of phase-space cells (when the latter is decreased but is still considerably large), exhibits sensitivity to particle bunching within a system situated in…

Nuclear Theory · Physics 2024-08-28 Valeria Zelina Reyna Ortiz , Maciej Rybczynski , Zbigniew Wlodarczyk

Multi-time quantum processes are endowed with the same richness as multipartite states, including temporal entanglement and exotic causal structures. However, experimentally probing these rich phenomena leans heavily on fast and clean…

The ability to measure characteristics of source shapes using non-identical particle correlations is discussed. Both strong-interaction induced and Coulomb induced correlations are shown to provide sensitivity to source shapes. By…

Nuclear Theory · Physics 2009-11-11 Scott Pratt

How can we characterize different types of correlation between quantum systems? Since correlations cannot be generated locally, we take any real function of a multipartite state which cannot increase under local operations to measure a…

Quantum Physics · Physics 2020-07-27 Joshua Levin , Graeme Smith

The study of particle correlations is an important instrument to understand the nature of relativistic heavy ion collisions. Using a wealth of new data available from the recent heavy ion runs of Large Hadron Collider at CERN it becomes…

Nuclear Experiment · Physics 2019-08-12 Alexander Milov

A new method for measuring the quantities influenced by bin-to-bin and inside bin correlations is presented. This method is essential for large multiplisity and/or high density of particles in phase spase. The method was applied to the two…

Data Analysis, Statistics and Probability · Physics 2007-05-23 V. Perevoztchikov , M. Tabidze , A. Tomaradze