Category Ranking
98%
Total Visits
921
Avg Visit Duration
2 minutes
Citations
20
Article Abstract
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 dynamics in two-dimensional Dirac systems, which harbor semimetal and Mott insulator phases separated by the quantum critical point triggered by the interplay between fluctuations of gapless Dirac fermions and order parameter bosons. We find that despite the existence of the gapless initial phase, the driven dynamics can still be captured by the finite-time scaling form. This leads us to propose a criterion for the validity of Kibble-Zurek mechanism with a gapless initial state. Accordingly, our results generalize the Kibble-Zurek theory to incorporate composite fluctuations and relax its requirement for a gapped initial state to systems accommodating gapless Dirac fermionic excitations. Our work not only brings fundamental perspective into the nonequilibrium critical dynamics, but also provides an approach to fathom quantum critical properties in fermionic systems.
Download full-text PDF |
Source |
|---|---|
| http://www.ncbi.nlm.nih.gov/pmc/articles/PMC12227616 | PMC |
| http://dx.doi.org/10.1038/s41467-025-61611-6 | DOI Listing |
Publication Analysis
Top Keywords
Similar Publications
Universal coarsening in a homogeneous two-dimensional Bose gas.
Science
August 2025
Cavendish Laboratory, University of Cambridge, Cambridge, UK.
Coarsening of an isolated far-from-equilibrium quantum system is a paradigmatic many-body phenomenon, relevant from subnuclear to cosmological length scales and predicted to feature universal dynamic scaling. Here, we observed universal scaling in the coarsening of a homogeneous two-dimensional Bose gas, with exponents that match analytical predictions. For different initial states, we reveal universal scaling in the experimentally accessible finite-time dynamics by elucidating and accounting for the initial-state-dependent prescaling effects.
View Article and Find Full Text PDFDesign and analysis of gradient-based differential neural network for solving time-varying quadratic problems with inequality constraint.
Neural Netw
July 2025
Institute of Smart City and Intelligent Transportation, Southwest Jiaotong University, Chengdu, 610000, Sichuan, China. Electronic address:
The inequality-constrained time-varying quadratic program (IC-TVQP) is a fundamental and challenging problem that arises across various scientific and engineering domains. This work introduces a gradient-differential neural network (GDNN) designed for IC-TVQP problem resolution. Finite-time convergence and enhanced computational efficiency are realized in the GDNN through the implementation of a refined sign-bi-power activation function.
View Article and Find Full Text PDFFluctuations of dynamical observables in linear diffusions with time delay: A Riccati-based approach.
Phys Rev E
June 2025
Kyoto University, Department of Applied Mathematics and Physics, Graduate School of Informatics, Kyoto 606-8501, Japan.
Our current understanding of fluctuations of dynamical (time-integrated) observables in non-Markovian processes is still very limited. A major obstacle is the lack of an appropriate theoretical framework to evaluate the associated large deviation functions. In this paper we bypass this difficulty in the case of linear diffusions with time delay by using a Markovian embedding procedure that introduces an infinite set of coupled differential equations.
View Article and Find Full Text PDFRelevance of the Basset history term for Lagrangian particle dynamics.
Chaos
July 2025
Applied Mathematics, Institute for Mathematics and its Didactics, Leuphana University Lüneburg, 21335 Lüneburg, Germany.
The movement of small but finite spherical particles in a fluid can be described by the Maxey-Riley equation (MRE) if they are too large to be considered passive tracers. The MRE contains an integral "history term" modeling wake effects, which cause the force acting on a particle at some given time to depend on its full past trajectory. The history term causes complications in the numerical solution of the MRE and is, therefore, often neglected, despite both numerical and experimental evidence that its effects are generally not negligible.
View Article and Find Full Text PDFFinite-time scaling beyond the Kibble-Zurek prerequisite in Dirac systems.
Nat Commun
July 2025
Guangdong Provincial Key Laboratory of Magnetoelectric Physics and Devices, School of Physics, Sun Yat-Sen University, Guangzhou, 510275, China.
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 dynamics in two-dimensional Dirac systems, which harbor semimetal and Mott insulator phases separated by the quantum critical point triggered by the interplay between fluctuations of gapless Dirac fermions and order parameter bosons. We find that despite the existence of the gapless initial phase, the driven dynamics can still be captured by the finite-time scaling form.
View Article and Find Full Text PDF