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We numerically analyse the behavior of the full distribution of collective observables in quantum spin chains. While most of previous studies of quantum critical phenomena are limited to the first moments, here we demonstrate how quantum…

Statistical Mechanics · Physics 2016-10-25 M. Moreno-Cardoner , J. F. Sherson , G. De Chiara

Motivated by the fact that QCD critical point (CP) belongs to the same universality class as the liquid-gas transition, the dynamical density fluctuations around the CP is analyzed using relativistic fluid dynamics for a viscous fluid. It…

Nuclear Theory · Physics 2014-11-20 Teiji Kunihiro , Yuki Minami

The standard description of quantum critical points takes into account only fluctuations of the order parameter, and treats quantum fluctuations as extra dimensions of classical fluctuations. This picture can break down in a qualitative…

Strongly Correlated Electrons · Physics 2007-05-23 Qimiao Si

We investigate the effect of a non-perturbative gluon condensate on the spectrum of bound states of extremely heavy quarks using Non-Relativistic-QCD (NRQCD). Simulations are done with an improved gluon action on small lattices. We compare…

High Energy Physics - Lattice · Physics 2009-10-28 J. Fingberg

Elliptic flow ($v_2$) fluctuations in central heavy-ion collisions are direct probes of the fluctuating geometry of the quark-gluon plasma, and, as such, are strongly sensitive to any deviation from spherical symmetry in the shape of the…

Nuclear Theory · Physics 2019-03-05 Giuliano Giacalone

We overview recent theoretical developments in the search for QCD critical point at finite temperature and density, including from lattice QCD, effective QCD theories, and proton number cumulants in heavy-ion collisions. We summarize the…

Nuclear Theory · Physics 2023-12-18 Volodymyr Vovchenko

Cumulants of conserved charges fluctuations are regarded as a potential tool to study the criticality in the QCD phase diagram and to determine the freeze-out parameters in a model-independent way. At LHC energies, the measurements of the…

High Energy Physics - Experiment · Physics 2019-02-20 Nirbhay Kumar Behera

The HADES experiment investigates the reaction products of heavy-ion collisions at a few GeV, providing access to QCD matter at high net-baryon densities. A particular focus is the reconstruction of higher-order cumulant ratios of proton…

Nuclear Experiment · Physics 2025-10-20 Marvin Nabroth

Higher moments of net-proton multiplicity distributions are applied to search for the QCD critical point. In this paper, we will present measurements for kurtosis ($\kappa$), skewness ($S$) and variance $\sigma^2$) of net-proton…

Nuclear Experiment · Physics 2019-08-13 Xiaofeng Luo

We use the non-statistical fluctuation instead of the full one to explore the higher moment singularities of net proton event distributions in the relativistic Au+Au collisions at $\sqrt{s_{NN}}$ from 11.5 to 200 GeV calculated by the…

This work presents measurements of the rapidity-window dependence of event-by-event net-proton cumulants and proton factorial cumulants in Au+Au collisions at $\sqrt{s_\mathrm{NN}}=$7.7 -- 27 GeV, using high-statistics data from RHIC…

Nuclear Experiment · Physics 2025-12-19 Yige Huang

Results from new measurements of dynamical $K/\pi$ and $p/\pi$ ratio fluctuations are presented. Dynamical fluctuations in global conserved quantities such as baryon number, strangeness, or charge may be observed near a QCD critical point.…

Nuclear Experiment · Physics 2015-05-27 Terence Tarnowsky

The non-Gaussian measures of the particle number fluctuations -- skewness $S\sigma$ and kurtosis $\kappa \sigma^2$ -- are calculated in a vicinity of the critical point. This point corresponds to the end point of the first-order liquid-gas…

Nuclear Theory · Physics 2015-12-22 V. Vovchenko , R. V. Poberezhnyuk , D. V. Anchishkin , M. I. Gorenstein

We argue that recent data on fluctuations observed in heavy ion collisions show non-monotonic behaviour as function of number of participants (or "wounded nucleons") N_W. When interpreted in thermodynamical approach this result can be…

High Energy Physics - Phenomenology · Physics 2007-05-23 M. Rybczynski , Z. Wlodarczyk , G. Wilk

We study the dynamics of a nonlinear oscillator near the critical point where period-two vibrations are first excited with the increasing amplitude of parametric driving. Above the threshold, quantum fluctuations induce transitions between…

Quantum Physics · Physics 2015-08-12 Z. R. Lin , Y. Nakamura , M. I. Dykman

These lecture notes consist of two major connected parts. The first part (Sections 1, 2), after a brief historical introduction, deals with the physics of critical points in thermodynamic equilibrium. The features of the fluctuations…

Nuclear Theory · Physics 2024-03-07 Mikhail Stephanov

The dynamical charge fluctuations have been studied in ultra-relativistic heavy-ion collisions by using hadronic model simulations, such as UrQMD and HIJING. The evolution of fluctuations has been calculated at different time steps during…

Nuclear Theory · Physics 2015-03-03 Bhanu Sharma , Madan M. Aggarwal , Nihar Ranjan Sahoo , Tapan K. Nayak

It is crucially important to find an observable which is independent on the acceptance and late collision process, in order to search for the possible Critical Point predicted by QCD. By utilizing A Multi-Phase Transport (AMPT) model and…

Nuclear Theory · Physics 2010-08-26 Y. Zhou , S. S. Shi , K. Xiao , K. J. Wu , F. Liu

The study of correlations between opposite-sign charge pairs and particle-ratio fluctuations can provide a powerful tool to probe the properties of the quark-gluon plasma (QGP). It has been suggested that the existence of a QCD phase…

Nuclear Experiment · Physics 2013-04-09 Hui Wang

Event-by-event fluctuations of the baryon number, which is mostly carried by protons and neutrons, in relativistic heavy-ion collisions provide a sensitive probe for locating the conjectured critical point in the quantum chromodynamics…

Nuclear Theory · Physics 2025-12-24 Yi-Heng Feng , Che Ming Ko , Xiaofeng Luo , Yu-Gang Ma , Kai-Jia Sun , Song Zhang