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Near a continuous phase transition, systems with different microscopic origins display universal dynamics if their underlying symmetries are compatible. In a thermally quenched system, the Kibble-Zurek mechanism for the creation of…

Quantum Gases · Physics 2019-12-02 Bumsuk Ko , Jee Woo Park , Y. Shin

We study gauge and gravity backreaction in a holographic model of quantum quench across a superfluid critical transition. The model involves a complex scalar field coupled to a gauge and gravity field in the bulk. In earlier work…

High Energy Physics - Theory · Physics 2015-06-23 Sumit R. Das , Takeshi Morita

Kibble-Zurek scaling is the scaling of the density of the topological defects formed via the Kibble-Zurek mechanism with respect to the rate at which a system is cooled across a continuous phase transition. Recently, the density of the…

Statistical Mechanics · Physics 2025-03-26 Fan Zhong

The celebrated Kibble-Zurek mechanism (KZM) describes the scaling of physical quantities when external parameters sweep through a critical point. Boundaries are ubiquitous in real systems, and critical behaviors near the boundary have…

Statistical Mechanics · Physics 2025-09-15 Yu-Rong Shu , Shuai Yin

Clusters formed by fluctuations of two-dimensional (2D) directed interfaces around a threshold level have been extensively studied at equilibrium and in nonequilibrium steady states, but their coarsening dynamics remain poorly understood.…

Statistical Mechanics · Physics 2026-01-21 Renan A. L. Almeida , Tiago J. Oliveira , Jeferson J. Arenzon , Leticia F. Cugliandolo

According to the Kibble-Zurek mechanism, there is a universal power-law relationship between the defect density and the quench rate during a slow linear quench through a critical point. It is generally accepted that a fast quench results in…

Quantum Physics · Physics 2024-07-22 Han-Chuan Kou , Peng Li

When a system is driven across a continuous phase transition, the density of topological defects demonstrates a power-law scaling behavior versus the quenching rate, as predicted by Kibble-Zurek mechanism. In this study, we generalized this…

Quantum Physics · Physics 2024-06-27 Lingzi Huang , Menghua Deng , Chen Sun , Fuxiang Li

We study the driven dynamics across the critical points of the Yang-Lee edge singularities (YLESes) in a finite-size quantum Ising chain with an imaginary symmetry-breaking field. In contrast to the conventional classical or quantum phase…

Statistical Mechanics · Physics 2017-02-14 Shuai Yin , Guang-Yao Huang , Chung-Yu Lo , Pochung Chen

We analyze the quantum phase transitions taking place in a one-dimensional transverse field Ising model with long-range couplings that decay algebraically with distance. We are interested in the Kibble-Zurek universal scaling laws emerging…

Quantum Physics · Physics 2019-09-25 Ricardo Puebla , Oliver Marty , Martin B. Plenio

We consider decay of an initial density or current perturbation at finite temperature $T$ near a quantum critical point with emergent Lorentz invariance. We argue that decay of perturbations with wavenumbers $k \gg T$ (in natural units) is…

High Energy Physics - Theory · Physics 2020-07-22 Sergei Khlebnikov

Quantum phase transitions are characterised by the universal scaling laws in the critical region surrounding the transitions. This universality is also manifested in the critical real-time dynamics through the quantum Kibble-Zurek…

Quantum Physics · Physics 2026-04-21 Jose Soto Garcia , Natalia Chepiga

We study slow variation (both spatial as well as temporal) of a parameter of a system in the vicinity of discontinuous quantum phase transitions, in particular, a discontinuity critical point (DCP) (or a first-order critical point). We…

Statistical Mechanics · Physics 2015-09-02 Sei Suzuki , Amit Dutta

We study the slow quench dynamics of a one-dimensional nonequilibrium lattice gas model which exhibits a phase transition in the stationary state between a fluid phase with homogeneously distributed particles and a jammed phase with a…

Statistical Mechanics · Physics 2017-09-11 Priyanka , Kavita Jain

We present new experimental results on the quenching dynamics of an extended thermo-convective system (a network array of approximately 100 convective oscillators) going through a secondary subcritical bifurcation. We characterize a…

Pattern Formation and Solitons · Physics 2015-03-19 M. A. Miranda , J. Burguete , W. González-Viñas , H. Mancini

The formation of topological defects during continuous phase transitions exhibits nonequilibrium universality. While the Kibble-Zurek mechanism (KZM) predicts universal scaling of point-like defect numbers under slow driving, the…

High Energy Physics - Theory · Physics 2026-02-02 Chuan-Yin Xia , András Grabarits , Hua-Bi Zeng , Adolfo del Campo

We study the quantum dynamics of many-body systems, in the presence of dissipation due to the interaction with the environment, under Kibble-Zurek (KZ) protocols in which one Hamiltonian parameter is slowly, and linearly in time, driven…

Statistical Mechanics · Physics 2020-05-27 Davide Rossini , Ettore Vicari

We numerically study the density of topological defects for a two-dimensional assembly of particles driven over quenched disorder as a function of quench rate through the nonequilibrium phase transition from a plastic disordered flowing…

Statistical Mechanics · Physics 2024-04-23 C. J. O. Reichhardt , A. del Campo , C. Reichhardt

We revisit the Kibble-Zurek mechanism by analyzing the dynamics of phase ordering systems during an infinitely slow annealing across a second order phase transition. We elucidate the time and cooling rate dependence of the typical growing…

Statistical Mechanics · Physics 2013-05-29 Giulio Biroli , Leticia F. Cugliandolo , Alberto Sicilia

In a scenario of spontaneous symmetry breaking in finite time, topological defects are generated at a density that scale with the driving time according to the Kibble-Zurek mechanism (KZM). Signatures of universality beyond the KZM have…

Statistical Mechanics · Physics 2022-10-12 Fernando J. Gómez-Ruiz , David Subires , Adolfo del Campo

Nearly all dense suspensions undergo dramatic and abrupt thickening transitions in their flow behaviour when sheared at high stresses. Such transitions occur when the dominant interactions between the suspended particles shift from…