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The Kibble-Zurek mechanism describes the saturation of critical scaling upon dynamically approaching a phase transition. This is a consequence of the breaking of adiabaticity due to the scale set by the slow drive. By driving the gap…

统计力学 · 物理学 2020-10-01 Björn Ladewig , Steven Mathey , Sebastian Diehl

When a system is swept through a quantum critical point, the quantum Kibble-Zurek mechanism makes universal predictions for quantities such as the number and energy of excitations produced. This mechanism is now being used to obtain…

量子物理 · 物理学 2023-02-09 Nicholas E. Sherman , Alexander Avdoshkin , Joel E. Moore

The Kibble-Zurek mechanism constitutes one of the most fascinating and universal phenomena in the physics of critical systems. It describes the formation of domains and the spontaneous nucleation of topological defects when a system is…

介观与纳米尺度物理 · 物理学 2020-10-13 A. Zamora , G. Dagvadorj , P. Comaron , I. Carusotto , N. P. Proukakis , M. H. Szymanska

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…

统计力学 · 物理学 2013-05-29 Giulio Biroli , Leticia F. Cugliandolo , Alberto Sicilia

The Kibble-Zurek mechanism captures universality when a system is driven through a continuous phase transition. Here we study the dynamical aspect of quantum phase transitions in the Ising Field Theory where the critical point can be…

统计力学 · 物理学 2020-11-04 Kristóf Hódsági , Márton Kormos

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

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

Near a critical point, the equilibrium relaxation time of a system diverges and any change of control/thermodynamic parameters leads to non-equilibrium behavior. The Kibble-Zurek problem is to determine the dynamical evolution of the system…

统计力学 · 物理学 2012-09-20 Anushya Chandran , Amir Erez , Steven S. Gubser , S. L. Sondhi

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

We investigate the quench dynamics of an open quantum system involving a quantum phase transition. In the isolated case, the quench dynamics involving the phase transition exhibits a number of scaling relations with the quench rate as…

量子物理 · 物理学 2020-06-15 Ricardo Puebla , Andrea Smirne , Susana F. Huelga , Martin B. Plenio

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…

统计力学 · 物理学 2024-04-23 C. J. O. Reichhardt , A. del Campo , C. Reichhardt

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…

量子物理 · 物理学 2026-04-21 Jose Soto Garcia , Natalia Chepiga

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…

统计力学 · 物理学 2017-02-14 Shuai Yin , Guang-Yao Huang , Chung-Yu Lo , Pochung Chen

The Kibble-Zurek mechanism describes defect production due to non-adiabatic passage through a critical point. Here we study its variant from ramping the environment temperature to a critical point. We find that the defect density scales as…

强关联电子 · 物理学 2023-07-07 Á. Bácsi , B. Dóra

The Kibble-Zurek mechanism describes the evolution of topological defect structures like domain walls, strings, and monopoles when a system is driven through a second order phase transition. The model is used on very different scales like…

软凝聚态物质 · 物理学 2015-10-16 Sven Deutschländer , Patrick Dillmann , Georg Maret , Peter Keim

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 matter undergoes a continuous phase transition on a finite timescale, the Kibble-Zurek mechanism predicts universal scaling behavior with respect to structure formation. The scaling is dependent on the universality class and is…

量子气体 · 物理学 2019-02-07 Yiping Chen , Munekazu Horikoshi , Kosuke Yoshioka , Makoto Kuwata-Gonokami

The crossing of a continuous phase transition gives rise to the formation of topological defects described by the Kibble-Zurek mechanism (KZM) in the limit of slow quenches. The KZM predicts a universal power-law scaling of the defect…

统计力学 · 物理学 2023-05-04 Hua-Bi Zeng , Chuan-Yin Xia , Adolfo del Campo

A description of the Kibble-Zurek mechanism with linear response theory has been done previously, but ad hoc hypotheses were used, like the use of the rate-dependent impulse window via the Zurek equation in the context of no driving in the…

统计力学 · 物理学 2026-01-09 Pierre Nazé

Symmetry-breaking quantum phase transitions lead to the production of topological defects or domain walls in a wide range of physical systems. In second-order transitions, these exhibit universal scaling laws described by the Kibble-Zurek…

量子气体 · 物理学 2025-04-15 Matthew T. Wheeler , Hayder Salman , Magnus O. Borgh
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