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Related papers: Deconstructing symmetry breaking dynamics

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When a symmetry gets spontaneously broken in a phase transition, topological defects are typically formed. The theoretical picture of how this happens in a breakdown of a global symmetry, the Kibble-Zurek mechanism, is well established and…

High Energy Physics - Phenomenology · Physics 2009-11-07 A. Rajantie

The experimental realization of the quantum Kibble-Zurek mechanism in arrays of trapped Rydberg atoms has brought the problem of commensurate-incommensurate transition back into the focus of active research. Relying on equilibrium…

Strongly Correlated Electrons · Physics 2024-10-04 Jose Soto Garcia , Natalia Chepiga

In a scenario of spontaneous symmetry breaking in finite time, topological defects are generated at a density that scale with the driving time according to the Kibble-Zurek mechanism (KZM). Signatures of universality beyond the KZM have…

Statistical Mechanics · Physics 2022-10-12 Fernando J. Gómez-Ruiz , David Subires , Adolfo del Campo

The celebrated Kibble-Zurek mechanism (KZM) describes the scaling of physical quantities when external parameters sweep through a critical point. Boundaries are ubiquitous in real systems, and critical behaviors near the boundary have…

Statistical Mechanics · Physics 2025-09-15 Yu-Rong Shu , Shuai Yin

We present new experimental results on the quenching dynamics of an extended thermo-convective system (a network array of approximately 100 convective oscillators) going through a secondary subcritical bifurcation. We characterize a…

Pattern Formation and Solitons · Physics 2015-03-19 M. A. Miranda , J. Burguete , W. González-Viñas , H. Mancini

Nonequilibrium many-body physics is one of the core problems in modern physics, while the dynamical scaling from a gapless phase to the critical point is a most important challenge with very few knowledge so far. In the driven dynamics with…

Strongly Correlated Electrons · Physics 2026-02-17 Zhe Wang , Chengxiang Ding , Dongxu Liu , Fuxiang Li , Zheng Yan , Shuai Yin

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…

Statistical Mechanics · Physics 2016-01-19 Yingyi Huang , Shuai Yin , Qijun Hu , Fan Zhong

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

Spontaneous symmetry breaking occurs in a physical system whenever the ground state does not share the symmetry of the underlying theory, e.g., the Hamiltonian. It gives rise to massless Nambu-Goldstone modes and massive Anderson-Higgs…

Quantum Gases · Physics 2016-09-14 T. M. Hoang , M. Anquez , M. J. Boguslawski , H. M. Bharath , B. A. Robbins , M. S. Chapman

We propose an interferometry within the framework of quantum Kibble-Zurek mechanism by exemplifying two prototypical quench protocols, namely the round-trip and quarter-turn ones, on the transverse Ising and quantum $XY$ chains. Each…

Quantum Physics · Physics 2022-11-23 Han-Chuan Kou , Peng Li

We consider the number distribution of topological defects resulting from the finite-time crossing of a continuous phase transition and identify signatures of universality beyond the mean value, predicted by the Kibble-Zurek mechanism.…

Statistical Mechanics · Physics 2020-06-24 Fernando J. Gómez-Ruiz , Jack J. Mayo , Adolfo del Campo

We introduce a simple criterion for lattice models to predict quantitatively the crossover between the classical and the quantum scaling of the Kibble-Zurek mechanism, as the one observed in a quantum $\phi^4$-model on a 1D lattice [Phys.…

The fast evolution of microstructure is key to understanding crackling phenomena. It has been proposed that formation of a nonlinear zone around a moving crack tip controls the crack tip velocity. Progress in understanding the physics of…

Computational Engineering, Finance, and Science · Computer Science 2016-02-16 H. O. Ghaffari , P. Benson , K. Xia , R. P. Young

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…

We study the driven critical dynamics of the quantum link model, whose Hamiltonian describes the one-dimensional $U(1)$ lattice gauge theory. We find that combined topological defects emerge after the quench and they consist of both gauge…

Statistical Mechanics · Physics 2020-02-25 Yao-Tai Kang , Chung-Yu Lo , Shuai Yin , Pochung Chen

Structural defects in ion crystals can be formed during a linear quench of the transverse trapping frequency across the mechanical instability from a linear chain to the zigzag structure. The density of defects after the sweep can be…

Statistical Mechanics · Physics 2010-12-02 Gabriele De Chiara , Adolfo del Campo , Giovanna Morigi , Martin B. Plenio , Alex Retzker

We study the patterns generated in finite-time sweeps across symmetry-breaking bifurcations in individual-based models. Similar to the well-known Kibble-Zurek scenario of defect formation, large-scale patterns are generated when model…

Statistical Mechanics · Physics 2013-12-04 Peter Ashcroft , Tobias Galla

The formation of topological defects in a second order phase transition in the early universe is an out-of-equilibrium process. Condensed matter experiments seem to support Zurek's mechanism, in which the freezing of thermal fluctuations…

High Energy Physics - Phenomenology · Physics 2007-05-23 Massimo Pietroni

State-of-the-art tensor networks are employed to simulate the Hamiltonian ramp in the analog-digital quantum simulation of the quantum phase transition to the quasi-long-range ordered phase of the two-dimensional square-lattice $XX$ model…

Quantum Physics · Physics 2025-10-13 Yintai Zhang , Francis A. Bayocboc , Jacek Dziarmaga

Quasi-static transformations, or slow quenches, of many-body quantum systems across quantum critical points create topological defects. The Kibble-Zurek mechanism regulates the appearance of defects in a local quantum system through a…

Quantum Physics · Physics 2024-09-16 Stefano Gherardini , Lorenzo Buffoni , Nicolò Defenu
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