English (United Kingdom)

https://curated-unify.zendy.io/wp-json/zendy-region/v1/featured_content/oa?rat=en

https://curated-unify.zendy.io/wp-json/zendy-region/v1/highlighted_journal/

Global: Zendy Plus annual

Presents the access of premium content as premium feature

Premium Content

Presents the keyphrase highlighting as premium feature

Keyphrase Highlighting

Presents the summarisation as premium feature

Summarisation

Insights

Presents the pdf analysis as premium feature

PDF Analysis

Presents the zaia usage as premium feature

ZAIA

Global: Zendy Tools annual

Global: Zendy Free Plan

Global: Zendy Tools monthly

Global: Zendy Plus monthly

Here we demonstrate that tensor network techniques - originally devised forthe analysis of quantum many-body problems - are well suited for the detailedstudy of rare event statistics in kinetically constrained models (KCMs). Asconcrete examples we consider the Fredrickson-Andersen and East models, twoparadigmatic KCMs relevant to the modelling of glasses. We show how variationalmatrix product states allow to numerically approximate - systematically andwith high accuracy - the leading eigenstates of the tilted dynamical generatorswhich encode the large deviation statistics of the dynamics. Via this approachwe can study system sizes beyond what is possible with other methods, allowingus to characterise in detail the finite size scaling of the trajectory-spacephase transition of these models, the behaviour of spectral gaps, and thespatial structure and "entanglement" properties of dynamical phases. We discussthe broader implications of our results.

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