Large Deviations Beyond the Kibble-Zurek Mechanism

[en] The Kibble-Zurek mechanism (KZM) predicts that the average number of topological defects generated upon crossing a continuous or quantum phase transition obeys a universal scaling law with the quench time. Fluctuations in the defect number near equilibrium are approximately of Gaussian form, in agreement with the central limit theorem. Using large deviations theory, we characterize the universality of fluctuations beyond the KZM and report the exact form of the rate function in the transverse-field quantum Ising model. In addition, we characterize the scaling of large deviations in an arbitrary continuous phase transition, building on recent evidence establishing the universality of the defect number distribution.

Disciplines :

Physics

Author, co-author :

BALDUCCI, Federico ; University of Luxembourg > Faculty of Science, Technology and Medicine (FSTM) > Department of Physics and Materials Science (DPHYMS)

Beau, Mathieu

YANG, Jing ; University of Luxembourg > Faculty of Science, Technology and Medicine > Department of Physics and Materials Science > Team Adolfo DEL CAMPO ECHEVARRIA

Gambassi, Andrea

del Campo, Adolfo

External co-authors :

yes

Language :

English

Title :

Large Deviations Beyond the Kibble-Zurek Mechanism

Publication date :

2023

Journal title :

Physical Review Letters

ISSN :

0031-9007

eISSN :

1079-7114

Publisher :

American Physical Society (APS)

Volume :

131

Issue :

Peer reviewed :

Peer Reviewed verified by ORBi

Additional URL :

https://link.aps.org/article/10.1103/PhysRevLett.131.230401

Funders :

QuantERA
Horizon 2020 Framework Programme
Ministero dell’Università e della Ricerca
PNRR

Commentary :

6+6 pages, 1+2 figures

Available on ORBilu :

since 21 December 2023

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