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We study the formation of topological defects via the Kibble-Zurek mechanism in a polariton supersolid in a liquid crystal microcavity with tunable Rashba-Dresselhaus spin-orbit coupling. We predict analytically two different scalings in…

In a finite-time continuous phase transition, topological defects emerge as the system undergoes spontaneous symmetry breaking. The Kibble-Zurek mechanism predicts how the defect density scales with the quench rate. During such processes,…

We examine the formation and critical dynamics of topological defects via Kibble-Zurek mechanism in a (2+1)-dimensional quantum critical point, which is conjectured to dual to a Lifshitz geometry. Quantized magnetic fluxoids are…

High Energy Physics - Theory · Physics 2020-04-24 Zhi-Hong Li , Chuan-Yin Xia , Hua-Bi Zeng , Hai-Qing Zhang

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…

Mesoscale and Nanoscale Physics · Physics 2020-10-13 A. Zamora , G. Dagvadorj , P. Comaron , I. Carusotto , N. P. Proukakis , M. H. Szymanska

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…

Statistical Mechanics · Physics 2026-05-19 R. Jafari , Alireza Akbari

The Kibble-Zurek mechanism (KZM) captures the essential physics of nonequilibrium quantum phase transitions with symmetry breaking. KZM predicts a universal scaling power law for the defect density which is fully determined by the system's…

Universal scaling laws govern the density of topological defects generated while crossing an equilibrium continuous phase transition. The Kibble-Zurek mechanism (KZM) predicts the dependence on the quench time for slow quenches. By…

Statistical Mechanics · Physics 2023-12-07 Wei-can Yang , Makoto Tsubota , Adolfo del Campo , Hua-Bi Zeng

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.},…

Quantum Physics · Physics 2025-06-10 Xinxin Rao , Yang Liu , Mingshen Li , Teng Liu , Huabi Zeng , Le Luo

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…

Statistical Mechanics · Physics 2021-10-18 Chuan-Yin Xia , Hua-Bi Zeng

In this paper we address the question how the Kibble-Zurek mechanism, which describes the formation of topological defects in quantum systems subjected to a quench across a critical point, is generalized to the same scenario but for…

Quantum Physics · Physics 2017-12-06 Patrik Hedvall , Jonas Larson

We demonstrate that the Kibble-Zurek mechanism (KZM) holds for open systems transitioning from a disordered phase to a discrete time crystal (DTC). Specifically, we observe the main signatures of the KZM when the system is quenched into a…

Statistical Mechanics · Physics 2025-07-28 Roy D. Jara , Jayson G. Cosme

We study the formation of topological textures in a nonequilibrium phase transition of an overdamped classical O(3) model in 2+1 dimensions. The phase transition is triggered through an external, time-dependent effective mass, parameterized…

High Energy Physics - Phenomenology · Physics 2009-10-31 G. J. Stephens

The Kibble-Zurek mechanism describes the formation of topological defects during spontaneous symmetry breaking for quite different systems. Shortly after the big bang, the isotropy of the Higgs-field is broken during the expansion and…

Soft Condensed Matter · Physics 2014-09-17 Patrick Dillmann , Georg Maret , Peter Keim

We study the influence of topology on the quench dynamics of a system driven across a quantum critical point. We show how the appearance of certain edge states, which fully characterise the topology of the system, dramatically modifies the…

Strongly Correlated Electrons · Physics 2009-04-15 A. Bermudez , D. Patanè , L. Amico , M. A. Martin-Delgado

When a quantum phase transition is crossed in finite time, critical slowing down leads to the breakdown of adiabatic dynamics and the formation of topological defects. The average density of defects scales with the quench rate following a…

Quantum Physics · Physics 2018-11-26 Adolfo del Campo

The control of condensed matter systems out of equilibrium by laser pulses allows us to investigate the system trajectories through symmetry-breaking phase transitions. Thus the evolution of both collective modes and single particle…

Mesoscale and Nanoscale Physics · Physics 2015-06-15 Dragan Mihailovic , Tomaz Mertelj , Viktor V Kabanov , Serguei Brazovskii

Formation and evolution of topological defects in course of non-equilibrium symmetry breaking phase transitions is of wide interest in many areas of physics, from cosmology through condensed matter to low temperature physics. Its study in…

High Energy Physics - Theory · Physics 2021-03-17 Hua-Bi Zeng , Chuan-Yin Xia , Hai-Qing Zhang

The formation and dynamics of topological defects of different structure has been of central interest in the study of the 3He superfluids. Compared to superfluid 4He-II, the variability of the important parameters with temperature and…

Other Condensed Matter · Physics 2024-08-23 V. B. Eltsov , M. Krusius , G. E. Volovik

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…

Quantum Physics · Physics 2016-06-08 Pietro Silvi , Giovanna Morigi , Tommaso Calarco , Simone Montangero

We report a new intermediate regime in the quench time, $\tau_{q}$, separating the usual validity of the Kibble-Zurek mechanism (KZM) and its breakdown for rapid quenches in open systems under finite quench protocols. It manifests in the…

Statistical Mechanics · Physics 2024-08-22 Roy D. Jara , Jayson G. Cosme