Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Using matrix product states to study the dynamical large deviations of
  kinetically constrained models   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 finite 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.

15
The categories of this paper are: nucl-ex
28
The categories of this paper are: alg-geom
6
The categories of this paper are: astro-ph
25
The categories of this paper are: patt-sol
1
The categories of this paper are: cs
9
The categories of this paper are: nlin
21
The categories of this paper are: adap-org
35
The categories of this paper are: mtrl-th
22
The categories of this paper are: chao-dyn
31
The categories of this paper are: ao-sci
23
The categories of this paper are: solv-int
27
The categories of this paper are: comp-gas
32
The categories of this paper are: atom-ph
2
The categories of this paper are: math
5
The categories of this paper are: gr-qc
14
The categories of this paper are: math-ph