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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

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

The conventional Kibble-Zurek mechanism (KZM) describes the driven critical dynamics in the Landau-Ginzburg-Wilson (LGW) spontaneous symmetry-breaking phase transitions. However, whether the KZM is still applicable in the deconfined quantum…

Statistical Mechanics · Physics 2020-05-21 Rui-Zhen Huang , Shuai Yin

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 numerically study the density of topological defects for a two-dimensional assembly of particles driven over quenched disorder as a function of quench rate through the nonequilibrium phase transition from a plastic disordered flowing…

Statistical Mechanics · Physics 2024-04-23 C. J. O. Reichhardt , A. del Campo , C. Reichhardt

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

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

We study the Kibble-Zurek mechanism in a 2d holographic p-wave superconductor model with a homogeneous source quench on the critical point. We derive, on general grounds, the scaling of the Kibble-Zurek time, which marks breaking-down of…

High Energy Physics - Theory · Physics 2020-01-15 Yanyan Bu , Mitsutoshi Fujita , Shu Lin

We investigate the localization properties of a quasi-one-dimensional two-channel system with symmetric and asymmetric onsite energies using the Aubry-Andr\'{e} model. By analyzing the Lyapunov exponent and localization length, we…

Disordered Systems and Neural Networks · Physics 2025-03-12 Mohammad Pouranvari

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 study a one-dimensional lattice model with site-dependent nearest-neighbor hopping amplitudes that follow a power-law profile. The hopping variation is controlled by a grading exponent, $|alpha|$, which serves as the tuning parameter of…

Quantum Gases · Physics 2026-04-20 Argha Debnath , Ayan Sahoo , Debraj Rakshit

We study the single-particle properties of two-dimensional quasicrystals where the underlying geometry of the tight-binding lattice is crystalline but the on-site potential is quasicrystalline. We will focus on the 2D generalised…

Disordered Systems and Neural Networks · Physics 2024-01-23 Callum W. Duncan

The conventional Kibble-Zurek mechanism and the finite-time scaling provide universal descriptions of the driven critical dynamics from gapped initial states based on the adiabatic-impulse scenario. Here we investigate the driven critical…

Strongly Correlated Electrons · Physics 2025-07-22 Zhi Zeng , Yin-Kai Yu , Zhi-Xuan Li , Zi-Xiang Li , Shuai Yin

When a system is swept through a quantum critical point, the quantum Kibble-Zurek mechanism makes universal predictions for quantities such as the number and energy of excitations produced. This mechanism is now being used to obtain…

Quantum Physics · Physics 2023-02-09 Nicholas E. Sherman , Alexander Avdoshkin , Joel E. Moore

We investigate generalized Aubry-Andr\'{e} models featuring tunable quasidisordered potentials and a mobility edge that separates extended and localized states, with critical states for the mobility edge confirmed through finite-size…

Disordered Systems and Neural Networks · Physics 2025-08-12 Feng Lu , Ao Zhou , Shujie Cheng , Gao Xianlong

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

We theoretically investigate criticality and multifractal states in a one-dimensional Aubry-Andre-Harper model coupled to electromagnetic cavities. We focus on two specific cases where the phonon frequencies are $\omega_{0}=1$ and…

Disordered Systems and Neural Networks · Physics 2025-08-05 Thales F. Macedo , Julián Faúndez , Raimundo R. dos Santos , Natanael C. Costa , Felipe A. Pinheiro

Measurement-induced phase transitions (MIPT), characterizing abrupt changes in entanglement properties in quantum many-body systems subjected to unitary evolution with interspersed projective measurements, have garnered increasing interest.…

Quantum Physics · Physics 2024-11-12 Wantao Wang , Shuo Liu , Jiaqiang Li , Shi-Xin Zhang , Shuai Yin

The classical dimer model on the cubic lattice hosts a columnar ordered phase and a disordered Coulomb phase, separated by a continuous phase transition that lies beyond the conventional Landau-Ginzburg-Wilson paradigm. While its…

Statistical Mechanics · Physics 2026-05-18 Hu-Xiao Peng , Zheng Yan , Shuai Yin

The Dicke model with a weak dissipation channel is realized by coupling a Bose-Einstein condensate to an optical cavity with ultra-narrow bandwidth. We explore the dynamical critical properties of the Hepp-Lieb-Dicke phase transition by…

Quantum Gases · Physics 2015-03-19 J. Klinder , H. Keßler , M. Wolke , L. Mathey , A. Hemmerich