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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…

Quantum Gases · Physics 2025-04-15 Matthew T. Wheeler , Hayder Salman , Magnus O. Borgh

Universal dynamics of spontaneous symmetry breaking is central to understanding the universal behavior of spontaneous defect formation in various system from the early universe, condensed-matter systems to ultracold atomic systems. We…

Quantum Gases · Physics 2016-04-20 Jun Xu , Shuyuan Wu , Xizhou Qin , Jiahao Huang , Yongguan Ke , Honghua Zhong , Chaohong Lee

The Kibble-Zurek mechanism (KZM) predicts the spontaneous formation of topological defects in a continuous phase transition driven at a finite rate. We propose the generation of spontaneous quantum turbulence (SQT) via the KZM during…

Quantum Gases · Physics 2025-12-09 Seong-Ho Shinn , Matteo Massaro , Mithun Thudiyangal , Adolfo del Campo

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…

Soft Condensed Matter · Physics 2015-10-16 Sven Deutschländer , Patrick Dillmann , Georg Maret , Peter Keim

The Kibble-Zurek mechanism is applied to the spontaneous formation of vortices in a harmonically trapped thermal gas following a temperature quench through the critical value for Bose-Einstein condensation. While in the homogeneous scenario…

Quantum Gases · Physics 2012-05-21 A. del Campo , A. Retzker , M. B. Plenio

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…

Quantum Gases · Physics 2019-02-07 Yiping Chen , Munekazu Horikoshi , Kosuke Yoshioka , Makoto Kuwata-Gonokami

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…

Quantum Gases · Physics 2013-05-27 Shih-Wei Su , Shih-Chuan Gou , Ashton Bradley , Oleksandr Fialko , Joachim Brand

Spontaneous spin vortex formation in the magnetic phase transition of a trapped spin-1 Bose-Einstein condensate is investigated using mean-field theory. In a harmonic trapping potential, an inhomogeneous atomic density leads to spatial…

Quantum Gases · Physics 2015-06-12 Hiroki Saito , Yuki Kawaguchi , Masahito Ueda

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…

Quantum Gases · Physics 2016-04-20 M. Anquez , B. A. Robbins , H. M. Bharath , M. J. Boguslawski , T. M. Hoang , M. S. Chapman

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

Systems passing through quantum critical points at finite rates have a finite probability of undergoing transitions between different eigenstates of the instantaneous Hamiltonian. This mechanism was proposed by Kibble as the underlying…

Quantum Physics · Physics 2017-04-11 Jingfu Zhang , Fernando M. Cucchietti , Raymond Laflamme , Dieter Suter

The problem of understanding how a coherent, macroscopic Bose-Einstein condensate (BEC) emerges from the cooling of a thermal Bose gas has attracted significant theoretical and experimental interest over several decades. The pioneering…

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

Continuous phase transitions occur in a wide range of physical systems, and provide a context for the study of non-equilibrium dynamics and the formation of topological defects. The Kibble-Zurek (KZ) mechanism predicts the scaling of the…

Quantum Gases · Physics 2015-06-11 Jacopo Sabbatini , Wojciech H. Zurek , Matthew J. Davis

We analyse, theoretically and experimentally, the nature of solitonic vortices (SV) in an elongated Bose-Einstein condensate. In the experiment, such defects are created via the Kibble-Zurek mechanism, when the temperature of a gas of…

The spin vortices are shown to be created through the Kibble-Zurek (KZ) mechanism in a quantum phase transition of a spin-1 ferromagnetic Bose-Einstein condensate, when the applied magnetic field is quenched below a critical value. It is…

Other Condensed Matter · Physics 2009-11-13 Hiroki Saito , Yuki Kawaguchi , Masahito Ueda

We study the spontaneous formation of defects in the order parameter of a trapped ultracold bosonic gas while crossing the critical temperature for Bose-Einstein Condensation (BEC) at different rates. The system has the shape of an…

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…

Statistical Mechanics · Physics 2026-02-06 Peng Yang , Chuan-Yin Xia , Sebastian Grieninger , Hua-Bi Zeng , Matteo Baggioli

We consider the phase transition dynamics of a trapped Bose-Einstein condensate subject to Raman-type spin-orbit coupling (SOC). By tuning the coupling strength the condensate is taken through a second order phase transition into an…

Quantum Gases · Physics 2019-05-22 Sheng Liu , Yongsheng Zhang

Out-of-equilibrium phenomena is a subject of considerable interest in many fields of physics. Ultracold quantum gases, which are extremely clean, well-isolated and highly controllable systems, offer ideal platforms to investigate this…

Quantum Gases · Physics 2017-02-01 J. Beugnon , N. Navon
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