Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Logarithmic spreading of out-of-time-ordered correlators without
  many-body localization   Out-of-time-ordered correlators (OTOCs) describe information scrambling under
unitary time evolution, and provide a useful probe of the emergence of quantum
chaos. Here we calculate OTOCs for a model of disorder-free localization whose
exact solubility allows us to study long-time behaviour in large systems.
Remarkably, we observe logarithmic spreading of correlations, qualitatively
different to both thermalizing and Anderson localized systems. Rather, such
behaviour is normally taken as a signature of many-body localization, so that
our findings for an essentially non-interacting model are surprising. We
provide an explanation for this unusual behaviour, and suggest a novel
Loschmidt echo protocol as a probe of correlation spreading. We show that the
logarithmic spreading of correlations probed by this protocol is a generic
feature of localized systems, with or without interactions.

25
The categories of this paper are: patt-sol
35
The categories of this paper are: mtrl-th
2
The categories of this paper are: math
22
The categories of this paper are: chao-dyn
19
The categories of this paper are: eess
32
The categories of this paper are: atom-ph
37
The categories of this paper are: supr-con
8
The categories of this paper are: hep-ex
24
The categories of this paper are: dg-ga
26
The categories of this paper are: bayes-an
20
The categories of this paper are: acc-phys
27
The categories of this paper are: comp-gas
23
The categories of this paper are: solv-int
14
The categories of this paper are: math-ph
10
The categories of this paper are: q-bio
28
The categories of this paper are: alg-geom