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We consider a one-dimensional classical ferromagnetic Ising model when it is quenched from a low temperature to zero temperature in finite time using Glauber or Kawasaki dynamics. Most of the previous work on finite-time quenches assume…

统计力学 · 物理学 2024-01-10 Lakshita Jindal , Kavita Jain

While a large number of studies have focused on the nonequilibrium dynamics of a system when it is quenched instantaneously from a disordered phase to an ordered phase, such dynamics have been relatively less explored when the quench occurs…

统计力学 · 物理学 2022-03-22 Priyanka , Sayani Chatterjee , Kavita Jain

The Kibble-Zurek mechanism (KZM) predicts that when a system is driven through a continuous phase transition, the density of topological defects scales universally with the quench rate. Recent theoretical work [H.-B. Zeng \textit{et al.},…

量子物理 · 物理学 2025-06-10 Xinxin Rao , Yang Liu , Mingshen Li , Teng Liu , Huabi Zeng , Le Luo

Kibble-Zurek mechanism is a theory of defect formation in a non-equilibrium continuous phase transition. So far the theory has been successfully tested by numerical simulations and condensed matter experiments in a number of systems with…

凝聚态物理 · 物理学 2007-05-23 Jacek Dziarmaga

The proliferation of topological defects is a common out-of-equilibrium phenomenon when a system is driven into a phase of broken symmetry. The Kibble-Zurek mechanism (KZM) provides a theoretical framework for the critical dynamics and…

统计力学 · 物理学 2023-07-12 Zhijie Fan , Adolfo del Campo , Gia-Wei Chern

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…

量子物理 · 物理学 2024-07-22 Han-Chuan Kou , Peng Li

Kibble-Zurek mechanism relates the domain of non-equilibrium dynamics with the critical properties at equilibrium. It establishes a power law connection between non-equilibrium defects quenched through a continuous phase transition and the…

量子物理 · 物理学 2024-07-23 Amit Jamadagni , Javad Kazemi , Arpan Bhattacharyya

Topological defects shape the material and transport properties of physical systems. Examples range from vortex lines in quantum superfluids, defect-mediated buckling of graphene, and grain boundaries in ferromagnets and colloidal crystals,…

软凝聚态物质 · 物理学 2018-03-23 Norbert Stoop , Jörn Dunkel

We propose a theory to explain the experimental observed deviation from the Kibble-Zurek mechanism (KZM) scaling in rapidly quenched critical phase transition dynamics. There is a critical quench rate $\tau_{Q}^{c1}$ above it the KZM…

统计力学 · 物理学 2021-10-18 Chuan-Yin Xia , Hua-Bi Zeng

The Kibble-Zurek (KZ) hypothesis identifies the relevant time scales in out-of-equilibrium dynamics of critical systems employing concepts valid at equilibrium: It predicts the scaling of the defect formation immediately after quenches…

量子物理 · 物理学 2016-06-08 Pietro Silvi , Giovanna Morigi , Tommaso Calarco , Simone Montangero

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…

统计力学 · 物理学 2017-09-11 Priyanka , Kavita Jain

We present a study of the single spin flip stochastic dynamics of the two dimensional sixteen vertex model. We single out several dynamic regimes controlled by different processes that we describe. We analyse the emergence of very…

统计力学 · 物理学 2013-10-01 Demian Levis , Leticia F. Cugliandolo

The Kibble-Zurek mechanism demands an initial adiabatic stage before an impulse stage to have a frozen correlation length that generates topological defects in a cooling phase transition. Here we study such a driven critical dynamics but…

统计力学 · 物理学 2016-01-19 Yingyi Huang , Shuai Yin , Qijun Hu , Fan Zhong

When a system is swept through a quantum critical point (QCP), the Kibble-Zurek mechanism predicts that the average number of topological defects follows a universal power-law scaling with the ramp time scale. This scaling behavior is…

统计力学 · 物理学 2026-05-19 R. Jafari , Alireza Akbari

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…

量子气体 · 物理学 2019-12-02 Bumsuk Ko , Jee Woo Park , Y. Shin

Kibble-Zurek mechanism (KZM) uses critical scaling to predict density of topological defects and other excitations created in second order phase transitions. We point out that simply inserting asymptotic critical exponents deduced from the…

量子气体 · 物理学 2014-09-01 Jacek Dziarmaga , Wojciech H. Zurek

We propose an interferometry within the framework of quantum Kibble-Zurek mechanism by exemplifying two prototypical quench protocols, namely the round-trip and quarter-turn ones, on the transverse Ising and quantum $XY$ chains. Each…

量子物理 · 物理学 2022-11-23 Han-Chuan Kou , Peng Li

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

We observe power-law scaling of the temporal onset of excitations with quench speed in the neighborhood of the quantum phase transition between the polar and broken-axisymmetry phases in a small spin-1 ferromagnetic Bose-Einstein…

量子气体 · 物理学 2016-04-20 M. Anquez , B. A. Robbins , H. M. Bharath , M. J. Boguslawski , T. M. Hoang , M. S. Chapman

Atomic Bose-Einstein condensates confined to a dual-ring trap support Josephson vortices as topologically stable defects in the relative phase. We propose a test of the scaling laws for defect formation by quenching a Bose gas to degeneracy…

量子气体 · 物理学 2013-05-27 Shih-Wei Su , Shih-Chuan Gou , Ashton Bradley , Oleksandr Fialko , Joachim Brand
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