Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Distinguishing an Anderson Insulator from a Many-Body Localized phase
  through space-time snapshots with Neural Networks   Distinguishing the dynamics of an Anderson insulator from a Many-Body
Localized (MBL) phase is an experimentally challenging task. In this work, we
propose a method based on machine learning techniques to analyze experimental
snapshot data to separate the two phases. We show how to train $3D$
convolutional neural networks (CNNs) using space-time Fock-state snapshots,
allowing us to obtain dynamic information about the system. We benchmark our
method on a paradigmatic model showing MBL ($t-V$ model with quenched
disorder), where we obtain a classification accuracy of $\approx 80 \%$ between
an Anderson insulator and an MBL phase. We underline the importance of
providing temporal information to the CNNs and we show that CNNs learn the
crucial difference between an Anderson localized and an MBL phase, namely the
difference in the propagation of quantum correlations. Particularly, we show
that the misclassified MBL samples are characterized by an unusually slow
propagation of quantum correlations, and thus the CNNs label them wrongly as
Anderson localized. Finally, we apply our method to the case with
quasi-periodic potential, known as the Aubry-Andr\'e model (AA model). We find
that the CNNs have more difficulties in separating the two phases. We show that
these difficulties are due to the fact that the MBL phase of the AA model is
characterized by a slower information propagation for numerically accessible
system sizes.

11
The categories of this paper are: hep-lat
17
The categories of this paper are: q-fin
19
The categories of this paper are: eess
14
The categories of this paper are: math-ph
10
The categories of this paper are: q-bio
16
The categories of this paper are: stat
29
The categories of this paper are: funct-an
36
The categories of this paper are: cmp-lg
12
The categories of this paper are: nucl-th
28
The categories of this paper are: alg-geom
33
The categories of this paper are: plasm-ph
30
The categories of this paper are: q-alg
6
The categories of this paper are: astro-ph
8
The categories of this paper are: hep-ex
15
The categories of this paper are: nucl-ex
3
The categories of this paper are: physics