English

Universal breakdown of Kibble-Zurek scaling in fast quenches across a phase transition

Statistical Mechanics 2023-05-04 v2 Superconductivity High Energy Physics - Theory Quantum Physics

Abstract

The crossing of a continuous phase transition gives rise to the formation of topological defects described by the Kibble-Zurek mechanism (KZM) in the limit of slow quenches. The KZM predicts a universal power-law scaling of the defect density as a function of the quench time. We focus on the deviations from KZM experimentally observed in rapid quenches and establish their universality. While KZM scaling holds below a critical quench rate, for faster quenches the defect density and the freeze-out time become independent of the quench rate and exhibit a universal power-law scaling with the final value of the control parameter. These predictions are verified in several paradigmatic scenarios in both the classical and quantum domains.

Keywords

Cite

@article{arxiv.2204.13529,
  title  = {Universal breakdown of Kibble-Zurek scaling in fast quenches across a phase transition},
  author = {Hua-Bi Zeng and Chuan-Yin Xia and Adolfo del Campo},
  journal= {arXiv preprint arXiv:2204.13529},
  year   = {2023}
}

Comments

6 pp, 4 figures