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Determining and measuring cause-effect relationships is fundamental to most scientific studies of natural phenomena. The notion of causation is distinctly different from correlation which only looks at association of trends or patterns in…

Methodology · Statistics 2019-10-22 Aditi Kathpalia , Nithin Nagaraj

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

This paper formalizes the use of integral and differential cumulants for measurements of multi-particle event-by-event transverse momentum fluctuations, rapidity fluctuations, as well as net charge fluctuations. This enables the…

High Energy Physics - Experiment · Physics 2023-10-12 Claude Pruneau , Victor Gonzalez , Ana Marin , Sumit Basu

We consider the situation when the signal propagating through each arm of an interferometer has a complicated multi-mode structure. We find the relation between the particle-entanglement and the possibility to surpass the shot-noise limit…

Quantum Physics · Physics 2017-09-20 J. Chwedenczuk

In heavy-ion collisions, momentum-dependent pair correlations can be characterized by a principal component analysis (PCA), in which subleading modes are expected to reveal new information on flow fluctuations. However, we find that, as…

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

A novel high-throughput second-order-correlation measurement system is developed which records and makes use of all the arrival times of photons detected at both start and stop detectors. This system is suitable particularly for a light…

Instrumentation and Detectors · Physics 2009-11-10 Wonshik Choi , Moonjoo Lee , Ye-Ryoung Lee , Changsoon Park , Jai-Hyung Lee , Kyungwon An , C. Fang-Yen , R. R. Dasari , M. S. Feld

A recent experiment reported the first violation of a Bell correlation witness in a many-body system [Science 352, 441 (2016)]. Following discussions in this paper, we address here the question of the statistics required to witness Bell…

Two-point correlation functions (2PCF) are widely used to characterize how points cluster in space. In this work, we study the problem of measuring the 2PCF over a large set of points, restricted to a subset satisfying a property of…

Computer Vision and Pattern Recognition · Computer Science 2026-04-08 Max Hamilton , Daniel Sheldon , Subhransu Maji

In counting experiments, one can set an upper limit on the rate of a Poisson process based on a count of the number of events observed due to the process. In some experiments, one makes several counts of the number of events, using…

Data Analysis, Statistics and Probability · Physics 2014-11-20 Patrick J. Sutton

Multiplicity fluctuations play a crucial role in relativistic heavy-ion collisions. In this work, we explore how the multiplicity fluctuations can be effectively suppressed in the measurement of particle correlations. In particular, through…

Nuclear Theory · Physics 2023-09-12 Chong Ye , Hong-Hao Ma , Dan Wen , Philipe Mota , Wei-Liang Qian , Rui-Hong Yue

Ramsey interferometry is a widely used tool for precisely measuring transition frequencies between two energy levels of a quantum system, with applications in time-keeping, precision spectroscopy, quantum optics, and quantum information.…

Quantum Physics · Physics 2023-02-21 H. Hainzer , D. Kiesenhofer , T. Ollikainen , M. Bock , F. Kranzl , M. K. Joshi , G. Yoeli , R. Blatt , T. Gefen , C. F. Roos

Quantum discord as a measure of the quantum correlations cannot be easily computed for most of density operators. In this paper, we present a measure of the total quantum correlations that is operationally simple and can be computed…

Quantum Physics · Physics 2016-04-19 Javad Behdani , Seyed Javad Akhtarshenas , Mohsen Sarbishaei

Coherence and correlation are key features of the quantum system. Quantifying these quantities are astounding task in the framework of resource theory of quantum information processing. In this article, we identify an affinity-based metric…

Quantum Physics · Physics 2021-02-11 R. Muthuganesan , V. K. Chandrasekar , R. Sankaranarayanan

We present the generalization of recently introduced observables for the studies of correlated fluctuations of different anisotropic flow amplitudes, dubbed Symmetric Cumulants. We introduce a new set of higher order observables and outline…

Nuclear Experiment · Physics 2020-08-19 Cindy Mordasini , Ante Bilandzic , Deniz Karakoç , Seyed Farid Taghavi

We extend the usual treatment of two-particle momentum correlations to include the possibility of non-chaotic or correlated particle emission from the hadronic freeze-out surface in heavy-ion collisions. We adopt a modified two-particle…

High Energy Physics - Phenomenology · Physics 2007-05-23 T. A. Trainor , J. G. Reid

The influence of wave function symmetry on statistical correlation is studied for the case of three non-interacting spin-free quantum particles in a unidimensional box, in position and in momentum space. Higher-order statistical…

Quantum Physics · Physics 2017-12-13 V. S. Yépez , R. P. Sagar , H. G. Laguna

The different behaviour of first order interferences and second order correlations are investigated for the case of two coherently excited atoms. For intensity measurements this problem is equivalent to Young's double slit experiment and…

Quantum Physics · Physics 2015-01-15 G. S. Agarwal , J. von Zanthier , C. Skornia , H. Walther

In order to compare theoretical calculations of thermal fluctuations of conserved quantities, such as charge susceptibilities or the specific heat, to experimentally measured correlations and fluctuations in heavy ion collisions, one must…

Nuclear Theory · Physics 2017-05-31 Scott Pratt , Clint Young

Two particle correlations are studied in the reaction plane of peripheral relativistic heavy ion reactions where the initial state has substantial angular momentum. The earlier predicted rotation effect and Kelvin Helmholtz Instability,…

Nuclear Theory · Physics 2013-05-06 L. P. Csernai , S. Velle
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