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This study investigates the dynamical critical exponent of disordered Ising chains under transverse fields to examine the effect of a correlated disorder on quantum phase transitions. The correlated disorder, where the on-site transverse…

Quantum Physics · Physics 2025-10-14 Tatsuhiko Shirai , Shu Tanaka

The scaling properties of the roughness of surfaces grown by two different processes randomly alternating in time, are addressed. The duration of each application of the two primary processes is assumed to be independently drawn from given…

Statistical Mechanics · Physics 2009-11-07 Subhadip Raychaudhuri , Yonathan Shapir

We study localization properties of disordered bosons and spins in random fields at zero temperature. We focus on two representatives of different symmetry classes, hard-core bosons (XY magnets) and Ising magnets in random transverse…

Disordered Systems and Neural Networks · Physics 2013-07-22 Xiaoquan Yu , Markus Mueller

We study the asymptotic scaling of the entanglement of a block of spins for the ground state of the one-dimensional quantum Ising model with transverse field. When the field is sufficiently strong, the entanglement grows at most…

Quantum Physics · Physics 2009-11-13 Geoffrey Grimmett , Tobias Osborne , Petra Scudo

Whether long-range interactions allow for a form of causality in non-relativistic quantum models remains an open question with far-reaching implications for the propagation of information and thermalization processes. Here, we study the…

Quantum Physics · Physics 2022-03-31 J. T. Schneider , J. Despres , S. J. Thomson , L. Tagliacozzo , L. Sanchez-Palencia

We simulate the entanglement dynamics in a critical random quantum Ising chain with generic perturbations using the time-evolving block decimation algorithm. Starting from a product state, we observe super-logarithmic growth of entanglement…

Statistical Mechanics · Physics 2017-04-25 Yichen Huang

Cooperative behaviors near the disorder-induced critical point in a random field Ising model are numerically investigated by analyzing time-dependent magnetization in ordering processes from a special initial condition. We find that the…

Statistical Mechanics · Physics 2025-01-06 Hiroki Ohta , Shin-ichi Sasa

We investigate the phase transitions of a nonlinear, parallel version of the Ising model, characterized by an antiferromagnetic linear coupling and ferromagnetic nonlinear one. This model arises in problems of opinion formation. The…

Statistical Mechanics · Physics 2016-11-09 Franco Bagnoli , Raul Rechtman

In the two-dimensional Ising model weak random surface field is predicted to be a marginally irrelevant perturbation at the critical point. We study this question by extensive Monte Carlo simulations for various strength of disorder. The…

Statistical Mechanics · Physics 2007-05-23 M. Pleimling , F. A. Bagamery , L. Turban , F. Igloi

We examine the stability of marginally Anderson localized phase transitions between localized phases to the addition of many-body interactions, focusing in particular on the spin-glass to paramagnet transition in a disordered transverse…

Disordered Systems and Neural Networks · Physics 2020-08-21 Sanjay Moudgalya , David A. Huse , Vedika Khemani

The spin-glass transition in external magnetic field is studied both in and out of the limit of validity of mean-field theory on a diluted one dimensional chain of Ising spins where exchange bonds occur with a probability decaying as the…

Disordered Systems and Neural Networks · Physics 2013-05-29 L Leuzzi , G. Parisi , F. Ricci-Tersenghi , J. J. Ruiz-Lorenzo

We report studies of the behaviour of a single driven domain wall in the 2-dimensional non-equilibrium zero temperature random-field Ising model, closely above the depinning threshold. It is found that even for very weak disorder, the…

Disordered Systems and Neural Networks · Physics 2009-10-31 Barbara Drossel , Karin Dahmen

The effect of the zero centered Gaussian random magnetic field distribution on the phase diagrams and ground state magnetizations of the transverse Ising thin film has been investigated. As a formulation, the differential operator technique…

Statistical Mechanics · Physics 2016-08-14 Ümit Akıncı

For the prototypical example of the Ising chain in a transverse field, we study the impact of decoherence on the sweep through a second-order quantum phase transition. Apart from the advance in the general understanding of the dynamics of…

Quantum Physics · Physics 2007-09-17 Sarah Mostame , Gernot Schaller , Ralf Schützhold

We study quantum correlations in an isotropic Ising ring under the effects of a transverse magnetic field. After characterizing the behavior of two-spin quantum correlations, we extend our analysis to global properties of the ring, using a…

Quantum Physics · Physics 2012-01-17 Steve Campbell , Laura Mazzola , Mauro Paternostro

A random-field Ising model that is capable of exhibiting a rich variety of multicritical phenomena, as well as a smearing of such behavior, is investigated. The model consists of an infinite-range-interaction Ising ferromagnet in the…

Statistical Mechanics · Physics 2009-01-16 Octavio R. Salmon , Nuno Crokidakis , Fernando D. Nobre

We analyse the critical properties of a weakly diluted (random) Ising model with the long-range interaction decaying with distance $x$ as $\sim x^{-d-\sigma}$ in a $d$-dimensional space. It is known to belong to a new long-range random…

Statistical Mechanics · Physics 2025-12-30 D. Shapoval , M. Dudka

Ising model with quenched random magnetic fields is examined for single Gaussian, bimodal and double Gaussian random field distributions by introducing an effective field approximation that takes into account the correlations between…

Statistical Mechanics · Physics 2016-08-14 Ümit Akıncı , Yusuf Yüksel , Hamza Polat

Using a quantum map version of one-dimensional Anderson model, the localization-delocalization transition of quantum diffusion induced by coherent dynamical perturbation is investigated in comparison with quantum standard map. Existence of…

Disordered Systems and Neural Networks · Physics 2016-01-20 Hiroaki S. Yamada , Fumihiro Matsui , Kensuke S. Ikeda

We study the dynamics of spin flipping at first order transitions in zero temperature two-dimensional random-field Ising model driven by an external field. We find a critical value of the disorder strength at which a discontinuous sharp…

Statistical Mechanics · Physics 2009-11-10 Ratnadeep Roy , Purusattam Ray
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