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Traversal of a symmetry-breaking phase transition at a finite rate can lead to causallyseparated regions with incompatible symmetries and the formation of defects at their boundaries. The defect formation follows universal scaling laws…

We use laser-cooled ion Coulomb crystals in the well-controlled environment of a harmonic radiofrequency ion trap to investigate phase transitions and defect formation. Topological defects in ion Coulomb crystals (kinks) have been recently…

The Kibble-Zurek mechanism (KZM) successfully predicts the density of topological defects deposited by the phase transitions, but it is not clear why. Its key conjecture is that, near the critical point of the second-order phase transition,…

统计力学 · 物理学 2025-12-01 Fumika Suzuki , Wojciech H. Zurek

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 formation of topological defects during continuous second-order phase transitions is well described by the Kibble-Zurek mechanism (KZM). However, when the spontaneously broken symmetry is only approximate, such transitions become smooth…

统计力学 · 物理学 2026-02-06 Peng Yang , Chuan-Yin Xia , Sebastian Grieninger , Hua-Bi Zeng , Matteo Baggioli

In the field of non-equilibrium phase transitions, the Kibble-Zurek mechanism (KZM) is undoubtedly an important discovery, pointing out that some universal scaling rules are applied to a wide range of physical systems from quantum to the…

量子物理 · 物理学 2021-04-16 Wen Wei , Shanhua Zhu , Yi Xie , Baoquan Ou , Wei Wu , Pingxing Chen

We extend the theory of symmetry breaking dynamics in non-equilibrium second order phase transitions known as the Kibble-Zurek mechanism (KZM) to transitions where the change of phase occurs not in time, but in space. This can be due to a…

统计力学 · 物理学 2008-07-28 Wojciech H. Zurek , Uwe Dorner

The Kibble-Zurek mechanism (KZM) describes the non-equilibrium dynamics and topological defect formation in systems undergoing second-order phase transitions. KZM has found applications in fields such as cosmology and condensed matter…

统计力学 · 物理学 2025-04-28 Fumika Suzuki , Wojciech H. Zurek

The crossing of a continuous phase transition results in the formation of topological defects with a density predicted by the Kibble-Zurek mechanism (KZM). We characterize the spatial distribution of point-like topological defects in the…

统计力学 · 物理学 2022-10-14 Adolfo del Campo , Fernando Javier Gómez-Ruiz , Hai-Qing Zhang

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

According to the Kibble-Zurek mechanism (KZM), the density of topological defects created during a second-order phase transition is determined by the correlation length at the freeze-out time. This suggests that the final configuration of…

统计力学 · 物理学 2025-08-29 Fumika Suzuki , Ying Wai Li , Wojciech H. Zurek

The number of topological defects created in a system driven through a quantum phase transition exhibits a power-law scaling with the driving time. This universal scaling law is the key prediction of the Kibble-Zurek mechanism (KZM), and…

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

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

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…

统计力学 · 物理学 2023-12-07 Wei-can Yang , Makoto Tsubota , Adolfo del Campo , Hua-Bi Zeng

The formation of topological defects after a symmetry-breaking phase transition is an overarching phenomenon that encodes rich information about the underlying dynamics. Kibble-Zurek mechanism (KZM), which describes these nonequilibrium…

The Kibble-Zurek mechanism predicts the formation of topological defects and other excitations that quantify how much a quantum system driven across a quantum critical point fails to be adiabatic. We point out that, thanks to the divergent…

统计力学 · 物理学 2019-10-02 Marek M. Rams , Jacek Dziarmaga , Wojciech H. Zurek

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

The Kibble-Zurek mechanism (KZM) predicts that the average number of topological defects generated upon crossing a continuous or quantum phase transition obeys a universal scaling law with the quench time. Fluctuations in the defect number…

量子物理 · 物理学 2023-12-06 Federico Balducci , Mathieu Beau , Jing Yang , Andrea Gambassi , Adolfo del Campo

An equally spaced linear chain of ions provides a test-bed for studying the defect formation in a finite size 1D system. In particular, defect formation related to topological phase transition from a linear configuration to a zig-zag one is…

软凝聚态物质 · 物理学 2020-08-26 J. Pedregosa-Gutierrez , M. Mukherjee
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