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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…

Quantum Gases · Physics 2019-12-02 Bumsuk Ko , Jee Woo Park , Y. Shin

Numerical study of order parameter dynamics in the course of second order (Landau-Ginzburg) symmetry breaking transitions shows that the density of topological defects, kinks, is proportional to the fourth root of the rate of the quench.…

General Relativity and Quantum Cosmology · Physics 2014-11-17 Pablo Laguna , Wojciech Hubert Zurek

A new experiment has been performed to study the formation of topological defects (quantized vortices) during rapid quenches of liquid 4He through the superfluid transition, with particular care taken to minimise vortex creation via…

Soft Condensed Matter · Physics 2009-10-31 M. E. Dodd , P. C. Hendry , N. S. Lawson , P. V. E. McClintock , C. D. H. Williams

Rydberg atom arrays have become a key platform for studying quantum many-body systems. In these setups, defects arise naturally due to various imperfections and can significantly modify the theoretical predictions compared to an ideal…

Quantum Gases · Physics 2025-11-05 Hanteng Wang , Chengshu Li , Xingyu Li , Yingfei Gu , Shang Liu

We numerically investigate nucleation processes in the transient dynamics of the two-dimensional complex Ginzburg-Landau equation towards its "frozen" state with quasi-stationary spiral structures. We study the transition kinetics from…

Statistical Mechanics · Physics 2019-11-27 Weigang Liu , Uwe C. Täuber

We present an exact solution for a quantum spin chain driven through its critical points. Our approach is based on a many-body generalization of the Landau-Zener transition theory, applied to fermionized spin Hamiltonian. The resulting…

Mesoscale and Nanoscale Physics · Physics 2008-04-12 R. W. Cherng , L. S. Levitov

We report the spontaneous formation of a GaP fullerene cage in ab-initio Molecular Dynamics simulations starting from a bulk fragment. A systematic study of the geometric and electronic properties of neutral and ionized GaP clusters…

Chemical Physics · Physics 2009-11-06 V. Tozzini , F. Buda , A. Fasolino

The Kibble-Zurek (KZ) mechanism describes the generations of topological defects when a system undergoes a second-order phase transition via quenches. We study the holographic KZ scaling using holographic superconductors. The scaling can be…

High Energy Physics - Theory · Physics 2017-06-07 Makoto Natsuume , Takashi Okamura

Zigzag patterns in one dimension or checkerboard patterns in two dimensions occur in a variety of pattern-forming systems. We introduce an order parameter `phase defect' to identify this transition and help to recognize the associated…

Statistical Mechanics · Physics 2025-10-14 Manoj C. Warambhe , Prashant M. Gade

When a system is driven across a continuous phase transition, the density of topological defects demonstrates a power-law scaling behavior versus the quenching rate, as predicted by Kibble-Zurek mechanism. In this study, we generalized this…

Quantum Physics · Physics 2024-06-27 Lingzi Huang , Menghua Deng , Chen Sun , Fuxiang Li

We investigate the normal mode spectrum of a trapped ion chain at the symmetry-breaking linear to zigzag transition and at finite temperatures. For this purpose we modulate the amplitude of the Doppler cooling laser in order to excite and…

We investigate the out of equilibrium dynamics of the two-dimensional XY model when cooled across the Berezinskii-Kosterlitz-Thouless (BKT) phase transition using different protocols. We focus on the evolution of the growing correlation…

Statistical Mechanics · Physics 2015-03-17 Asja Jelic , Leticia F. Cugliandolo

The Kibble-Zurek scaling reveals the universal dynamics when a system is linearly ramped across a symmetry-breaking phase transition. However, in reality, inevitable finite-size effects or symmetrybreaking perturbations can often smear out…

The homotopy theory of topological defects is a powerful tool for organizing and unifying many ideas across a broad range of physical systems. Recently, experimental progress has been made in controlling and measuring colloidal inclusions…

Soft Condensed Matter · Physics 2012-04-10 Gareth P. Alexander , Bryan Gin-ge Chen , Elisabetta A. Matsumoto , Randall D. Kamien

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

A chain of singly-charged particles, confined by a harmonic potential, exhibits a sudden transition to a zigzag configuration when the radial potential reaches a critical value, depending on the particle number. This structural change is a…

Statistical Mechanics · Physics 2009-11-13 Shmuel Fishman , Gabriele De Chiara , Tommaso Calarco , Giovanna Morigi

When a system is driven across a second-order quantum phase transition, the number of defects which are produced scales with the speed of the variation of the tuning parameter according to a universal law described by the Kibble-Zurek…

Statistical Mechanics · Physics 2023-03-29 Gianluca Francica , Luca Dell'Anna

Pairs of atomic scale terraces on a single crystal metal surface can be made to merge controllably under suitable conditions to yield steps of double height and width. We study the effect of various physical parameters on the formation of…

Materials Science · Physics 2009-11-10 Ajay Gopinathan , T. A. Witten

The formation of topological defects in continuous phase transitions is driven by the Kibble-Zurek mechanism. Here we study the formation of single- and half-quantum vortices during transition to the polar phase of $^3$He in the presence of…

Other Condensed Matter · Physics 2021-09-15 J. Rysti , J. T. Mäkinen , S. Autti , T. Kamppinen , G. E. Volovik , V. B. Eltsov

Our understanding of the mechanism by which topological defects are formed in symmetry breaking phase transitions has recently changed. We examine the non-equilibrium dynamics of defect formation for weakly-coupled global O(N) theories…

High Energy Physics - Theory · Physics 2010-11-01 A. J. Gill , R. J. Rivers