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We study the long-range quantum correlations in the anisotropic XY-model. By first examining the thermodynamic limit we show that employing the quantum discord as a figure of merit allows one to capture the main features of the model at…

Quantum Physics · Physics 2013-12-05 Steve Campbell , Jonathan Richens , Nicola Lo Gullo , Thomas Busch

Many zero temperature transitions, involving the deviation in the value of a $U(1)$ conserved charge from a quantized value, are described by the dilute Bose gas quantum critical point. On such transitions, we study the consequences of…

Condensed Matter · Physics 2009-10-28 Kedar Damle , Subir Sachdev

Symmetry-breaking perturbations destabilize the critical points of the two-channel and two-impurity Kondo models, thereby leading to a crossover from non-Fermi liquid behavior to standard Fermi liquid physics. Here we use an analogy between…

Strongly Correlated Electrons · Physics 2011-09-21 Eran Sela , Andrew K. Mitchell , Lars Fritz

We explore connections between the phenomenon of correlation decay and the location of Lee-Yang and Fisher zeros for various spin systems. In particular we show that, in many instances, proofs showing that weak spatial mixing on the Bethe…

Computational Complexity · Computer Science 2022-08-05 Jingcheng Liu , Alistair Sinclair , Piyush Srivastava

We have calculated the values of critical packing fractions for the mixtures of symmetric non-additive hard disks. An interesting feature of the model is the fact that the internal energy is zero and the phase transitions are entropically…

Statistical Mechanics · Physics 2016-03-15 W. T. Góźdź , A. Ciach

We employ the recently introduced Ising-QCD partition function (N.~G. Antoniou {\it et al.}, Phys. Rev. D 97, 034015 (2018)) to explore in detail the behaviour of the moments of the baryon-number, within the critical region around the…

High Energy Physics - Phenomenology · Physics 2019-02-20 Nikolaos G. Antoniou , Fotios K. Diakonos

Although partition functions of finite-size systems are always analytic, and hence have no poles, they can be expressed in many cases as series containing terms with poles. Here we show that such poles can be related to linear branches of…

Statistical Mechanics · Physics 2010-03-29 H. Touchette , R. J. Harris , J. Tailleur

It is still a debated issue whether all critical active particles belong to the same universality class. Here we numerically study the critical behavior of quorum sensing active particles that represents the archetypal model for…

Statistical Mechanics · Physics 2022-10-21 Nicoletta Gnan , Claudio Maggi

Jamming criticality defines a universality class that includes systems as diverse as glasses, colloids, foams, amorphous solids, constraint satisfaction problems, neural networks, etc. A particularly interesting feature of this class is…

Some consequences of the analyticity of the free energy (pressure) of QCD at finite chemical potential are deduced. These include a method for numerical exploration of the full phase diagram by a novel use of simulations at imaginary…

High Energy Physics - Lattice · Physics 2009-11-10 Sourendu Gupta

We present an analysis of the classical contact process on scale-free networks. A mean-field study, both for finite and infinite network sizes, yields an absorbing-state phase transition at a finite critical value of the control parameter,…

Statistical Mechanics · Physics 2009-11-11 Claudio Castellano , Romualdo Pastor-Satorras

We study spin-glass systems characterized by continuous occurrence of singularities. The theory of Lee-Yang zeros is used to find the singularities. By using the replica method in mean-field systems, we show that two-dimensional…

Statistical Mechanics · Physics 2013-12-18 Kazutaka Takahashi , Tomoyuki Obuchi

The dynamical quantum phase transition is characterized by the emergence of nonanalytic behaviors in the rate function, corresponding to the occurrence of exact zero points of the Loschmidt echo in the thermodynamical limit. In general,…

Quantum Physics · Physics 2023-04-12 Yumeng Zeng , Bozhen Zhou , Shu Chen

The phase diagram of the two- and three-state Potts model with infinite-range interactions, in the external field is analyzed by studying the partition function zeros in the complex field plane. The tricritical point of the three-state…

Statistical Mechanics · Physics 2013-03-01 Zvonko Glumac , Katarina Uzelac

Non-equilibrium critical phenomena generally exist in many dynamic systems, like chemical reactions and some driven-dissipative {reactive} particle systems. Here, by using computer simulation and theoretical analysis, we demonstrate the…

Soft Condensed Matter · Physics 2021-05-26 Qun-Li Lei , Hao Hu , Ran Ni

We consider the canonical ensemble of a system of point particles on the sphere interacting via a logarithmic pair potential. In this setting, we study the associated Gibbs measure and partition function, and we derive explicit formulas…

Mathematical Physics · Physics 2025-10-31 Rolf Andreasson , Ludvig Svensson

Attempts to understand zero temperature phase transitions have forced physicists to consider a regime where the standard paradigms of condensed matter physics break down [1-4]. These quantum critical systems lack a simple description in…

Quantum Gases · Physics 2012-07-04 Kaden R. A. Hazzard , Erich J. Mueller

Enormous advances have been made in the past 20 years in our understanding of the random-field Ising model, and there is now consensus on many aspects of its behavior at least in thermal equilibrium. In contrast, little is known about its…

Statistical Mechanics · Physics 2022-12-23 Manoj Kumar , Varsha Banerjee , Sanjay Puri , Martin Weigel

We investigate the validity of a zeroth thermodynamic law for non-equilibrium systems. In order to describe the thermodynamics of the glassy systems, it has been introduced an extra parameter, the effective temperature which generalizes the…

Disordered Systems and Neural Networks · Physics 2009-11-07 Adan Garriga

Exact results of the finite-size behavior of the susceptibility in three-dimensional mean spherical model films under Dirichlet-Dirichlet, Dirichlet-Neumann and Neumann-Neumann boundary conditions are presented. The corresponding scaling…

Statistical Mechanics · Physics 2009-11-10 Daniel M. Dantchev , Jordan G. Brankov