Skip to main content

Research Repository

Advanced Search

Using matrix product states to study the dynamical large deviations of kinetically constrained models

Ba�uls, Mari Carmen; Garrahan, Juan P.

Using matrix product states to study the dynamical large deviations of kinetically constrained models Thumbnail


Authors

Mari Carmen Ba�uls



Abstract

Here we demonstrate that tensor network techniques | originally devised for the analysis of quantum many-body problems | are well suited for the detailed study of rare event statistics in kinetically constrained models (KCMs). As concrete examples we consider the Fredrickson- Andersen and East models, two paradigmatic KCMs relevant to the modelling of glasses. We show how variational matrix product states allow to numerically approximate | systematically and with high accuracy | the leading eigenstates of the tilted dynamical generators which encode the large deviation statistics of the dynamics. Via this approach we can study system sizes beyond what is possible with other methods, allowing us to characterise in detail the _nite size scaling of the trajectory-space phase transition of these models, the behaviour of spectral gaps, and the spatial structure and \entanglement" properties of dynamical phases. We discuss the broader implications of our results.

Citation

Bañuls, M. C., & Garrahan, J. P. (2019). Using matrix product states to study the dynamical large deviations of kinetically constrained models. Physical Review Letters, 123(20), Article 200601. https://doi.org/10.1103/PhysRevLett.123.200601

Journal Article Type Article
Acceptance Date Oct 4, 2019
Online Publication Date Nov 12, 2019
Publication Date Nov 12, 2019
Deposit Date Oct 16, 2019
Publicly Available Date Mar 28, 2024
Journal Physical Review Letters
Print ISSN 0031-9007
Electronic ISSN 1079-7114
Publisher American Physical Society
Peer Reviewed Peer Reviewed
Volume 123
Issue 20
Article Number 200601
DOI https://doi.org/10.1103/PhysRevLett.123.200601
Keywords General Physics and Astronomy
Public URL https://nottingham-repository.worktribe.com/output/2847550
Publisher URL https://journals.aps.org/prl/abstract/10.1103/PhysRevLett.123.200601

Files




You might also like



Downloadable Citations