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We study a one-dimensional model which undergoes a transition between an active and an absorbing phase. Monte Carlo simulations supported by some additional arguments prompted as to predict the exact location of the critical point and…

Statistical Mechanics · Physics 2009-10-31 Adam Lipowski

The time-dynamics of quantum correlations in the quantum transverse anisotropic XY spin chain of infinite length is studied at zero as well as finite temperatures. The evolution occurs due to the instantaneous quenching of the coupling…

Quantum Physics · Physics 2016-04-19 Utkarsh Mishra , Debraj Rakshit , R. Prabhu

The universality class, even the order of the transition, of the two-dimensional Ising model depends on the range and the symmetry of the interactions (Onsager model, Baxter-Wu model, Turban model, etc.), but the critical temperature is…

Statistical Mechanics · Physics 2009-11-13 Laszlo Kornyei , Michel Pleimling , Ferenc Igloi

We study the distribution of dynamical quantities in various one-dimensional, disordered models the critical behavior of which is described by an infinite randomness fixed point. In the {\it disordered contact process}, the quenched…

Disordered Systems and Neural Networks · Physics 2015-06-18 Róbert Juhász

We study the effects of distinct types of quenched disorder in the contact process (CP) with a competitive dynamics on bipartite sublattices. In the model, the particle creation depends on its first and second neighbors and the extinction…

Statistical Mechanics · Physics 2019-05-08 M. N. Gonzaga , C. E. Fiore , M. M. de Oliveira

Phase transitions in dissipative quantum systems are intriguing because they are induced by the interplay between coherent quantum and incoherent classical fluctuations. Here, we investigate the crossover from a quantum to a classical…

Statistical Mechanics · Physics 2021-03-18 Minjae Jo , Jongshin Lee , K. Choi , B. Kahng

In non-relativistic field theories, quantum fluctuations give rise to dissipative behaviour even at zero temperature. Here we use holographic methods to explore the dissipative dynamics of massive particles coupled to quantum critical…

High Energy Physics - Theory · Physics 2013-05-30 David Tong , Kenny Wong

We study the quantum phase transition in the two-dimensional random Ising model in a transverse field by Monte Carlo simulations. We find results similar to those known analytically in one-dimension: the dynamical exponent is infinite and,…

Disordered Systems and Neural Networks · Physics 2016-08-31 C. Pich , A. P. Young

The extinction of the contact process in lattice models with quenched disorder is analysed in the limit of small density of infected sites. It is shown that the problem in such a regime can be mapped to the quantum-mechanical one…

Disordered Systems and Neural Networks · Physics 2009-11-11 S. N. Taraskin , J. J. Ludlam , C. J. Neugebauer , C. A. Gilligan

We revisit the velocity-dependent one-scale model for topological defect evolution, and present a new alternative formulation in terms of a physical (rather than invariant) characteristic length scale. While the two approaches are…

High Energy Physics - Phenomenology · Physics 2016-03-09 C. J. A. P. Martins , M. M. P. V. P. Cabral

We study percolation as a critical phenomenon on a multifractal support. The scaling exponents of the the infinite cluster size ($\beta$ exponent) and the fractal dimension of the percolation cluster ($d_f$) are quantities that seem do not…

Statistical Mechanics · Physics 2007-05-23 J. E. Freitas , G. Corso , L. S. Lucena

We investigate the contact process on scale-free networks evolving by a stationary dynamics whereby each vertex independently updates its connections with a rate depending on its power. This rate can be slowed down or speeded up by virtue…

Probability · Mathematics 2024-09-18 Emmanuel Jacob , Amitai Linker , Peter Mörters

Recent surveys of multiplicity fluctuations, transverse momentum fluctuations, and two-particle azimuthal correlations are presented for several collision systems as a function of centrality and transverse momentum. Both multiplicity and…

Nuclear Experiment · Physics 2008-11-26 J. T. Mitchell

Critical properties of the dynamical phase transition in the quenched generalized Bose-Anderson impurity model are studied in the mean-field limit of an infinite number of channels. The transition separates the evolution toward ground state…

Quantum Gases · Physics 2017-05-24 Dmitry V. Chichinadze , Alexey N. Rubtsov

The entanglement properties of quenched quantum systems have been studied for a decade, however results in dimensions other than $d=1$ are generally lacking. We remedy this by investigating the entanglement properties of bosonic critical…

Quantum Gases · Physics 2016-07-27 Yonah Lemonik , Aditi Mitra

While exponential decay is ubiquitous in Nature, deviations at both short and long times are dictated by quantum mechanics. Non-exponential decay is known to arise due to the possibility of reconstructing the initial state from the decaying…

Quantum Physics · Physics 2012-03-26 A. del Campo

A proof is provided of a strong law of large numbers for a one-dimensional random walk in a dynamic random environment given by a supercritical contact process in equilibrium. The proof is based on a coupling argument that traces the…

Probability · Mathematics 2013-03-27 Frank den Hollander , Renato dos Santos

Both in atomic physics and in mesoscopic physics it is sometimes interesting to consider the energy time-dependence of a parametrically-driven chaotic system. We assume an Hamiltonian ${\cal H}(Q,P;x(t))$ where $x(t)=Vt$. The velocity $V$…

Condensed Matter · Physics 2009-10-31 Doron Cohen

We conjecture that for a wide class of interacting particle systems evolving in discrete time, namely conservative cellular automata with piecewise linear flow diagram, relaxation to the limit set follows the same power law at critical…

Cellular Automata and Lattice Gases · Physics 2009-11-07 Henryk Fuks , Nino Boccara

We derive exact expressions for the local entanglement entropy E in the ground state of the one-dimensional Hubbard model at a quantum phase transition driven by a change in magnetic field h or chemical potential u. The leading divergences…

Strongly Correlated Electrons · Physics 2009-11-11 Daniel Larsson , Henrik Johannesson
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