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We study numerically the non-equilibrium critical properties of the Ising model defined on direct products of graphs, obtained from factor graphs without phase transition (Tc = 0). On this class of product graphs, the Ising model features a…

统计力学 · 物理学 2010-12-20 R. Burioni , F. Corberi , A. Vezzani

We investigate quantum quenches starting from a critical point and experimentally probe the associated defect statistics using a trapped-ion quantum simulator of the transverse-field Ising model. The cumulants of the defect number…

Understanding the non-equilibrium dynamics of quantum many-body systems remains one of the grand challenges of modern physics. In particular, increasing attention has been devoted to the emergence of non-equilibrium universality classes…

量子物理 · 物理学 2025-12-22 Wenbo Zhou , Yuke Zhang , Pengfei Zhang

A sudden change of the Hamiltonian parameter drives a quantum system out of equilibrium. For a finite-size system, expectations of observables start fluctuating in time without converging to a precise limit. A new equilibrium state emerges…

量子物理 · 物理学 2013-03-21 Lorenzo Campos Venuti , Paolo Zanardi

In the course of a non-equilibrium continuous phase transition, the dynamics ceases to be adiabatic in the vicinity of the critical point as a result of the critical slowing down (the divergence of the relaxation time in the neighborhood of…

统计力学 · 物理学 2014-06-03 Adolfo del Campo , Wojciech H. Zurek

The critical behaviour of three-dimensional disordered systems is investigated by analysing the spectral fluctuations of the energy spectrum. Our results suggest that the initial symmetries (orthogonal, unitary and symplectic) are broken by…

无序系统与神经网络 · 物理学 2008-02-03 E. Hofstetter

We present a formulation for investigating quench dynamics across quantum phase transitions in the presence of decoherence. We formulate decoherent dynamics induced by continuous quantum non-demolition measurements of the instantaneous…

量子物理 · 物理学 2021-03-16 Wei-Ting Kuo , Daniel Arovas , Smitha Vishveshwara , Yi-Zhuang You

We extend the definition of a global order parameter to the case of a critical system confined between two infinite parallel plates separated by a finite distance $L$. For a quench to the critical point we study the persistence property of…

统计力学 · 物理学 2009-11-13 D. Chakraborty , J. K. Bhattacharjee

The spontaneous symmetry breaking associated to the tearing of a random surface, where large dynamical holes fill the surface, was recently analized obtaining a non-universal critical exponent on a border phase. Here the issue of…

高能物理 - 理论 · 物理学 2009-09-25 Giovanni M. Cicuta , Luca Molinari , Sebastiano Stramaglia

Dynamical universality plays a fundamental role in understanding the scaling properties of critical dynamics, including absorbing phase transitions and physical aging. Although individual universality classes have been extensively studied,…

统计力学 · 物理学 2025-03-10 Rong Li , Qirui Ding , Weicheng Cui

Taking the quantum Kitaev chain as an example, we have studied the universal dynamical behaviors resulting from quantum criticality under the condition of environmental temperature quench. Our findings reveal that when the quantum parameter…

量子物理 · 物理学 2026-01-21 Chengxiang Ding , Long Zhang

We report Monte Carlo simulations of critical dynamics far from equilibrium on a perfect and non-perfect surface in the 3d Ising model. For an ordered initial state, the dynamic relaxation of the surface magnetization, the line…

计算物理 · 物理学 2008-07-31 Shizeng Lin , Bo Zheng

The Ginzburg-Landau model below its critical temperature in a temporally oscillating external field is studied both theoretically and numerically. As the frequency or the amplitude of the external force is changed, a nonequilibrium phase…

统计力学 · 物理学 2009-10-31 H. Fujisaka , H. Tutu , P. A. Rikvold

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,…

无序系统与神经网络 · 物理学 2016-08-31 C. Pich , A. P. Young

Nonequilibrium phase transitions are characterized by the so-called critical exponents, each of which is related to a different observable. Systems that share the same set of values for these exponents also share the same universality…

适应与自组织系统 · 物理学 2019-11-01 Mauricio Girardi-Schappo , M. H. R. Tragtenberg

A wide range of non-equilibrium phenomena in nature involve non-reciprocal interactions. To understand the novel behaviors that can emerge in such systems, finding tractable models is essential. With this goal, we introduce a non-reciprocal…

统计力学 · 物理学 2024-11-04 Gabriel Weiderpass , Mayur Sharma , Savdeep Sethi

Many-variable differential equations with random coefficients provide powerful models for the dynamics of many interacting species in ecology. These models are known to exhibit a dynamical phase transition from a phase where population…

统计力学 · 物理学 2025-02-19 Thibaut Arnoulx de Pirey , Guy Bunin

The dynamics of quantum systems far from equilibrium represents one of the most challenging problems in theoretical many-body physics. While the evolution is in general intractable in all its details, relevant observables can become…

Physical kinetic roughening processes are well known to exhibit universal scaling of observables that fluctuate in space and time. Are there analogous dynamic scaling laws that are unique to the chemical reaction mechanisms available…

统计力学 · 物理学 2022-11-17 Shrabani Mondal , Jonah S. Greenberg , Jason R. Green

We study the collisionless dynamics of two classes of nonintegrable pairing models. One is a BCS model with separable energy-dependent interactions, the other - a 2D topological superconductor with spin-orbit coupling and a band-splitting…

量子气体 · 物理学 2019-03-06 Jasen A. Scaramazza , Pietro Smacchia , Emil A. Yuzbashyan