Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Detecting equilibrium and dynamical quantum phase transitions in Ising
  chains via out-of-time-ordered correlators   Out-of-time-ordered (OTO) correlators have developed into a central concept
quantifying quantum information transport, information scrambling and quantum
chaos. In this work we show that such OTO correlator can also be used to
dynamically detect equilibrium as well as nonequilibrium phase transitions in
Ising chains. We study OTO correlators of an order parameter both in
equilibrium and after a quantum quench for different variants of
transverse-field Ising models in one dimension, including the integrable one as
well as non-integrable and long-range extensions. We find for all the studied
models that the OTO correlator in ground states detects the quantum phase
transition. After a quantum quench from a fully polarized state we observe
numerically for the short-range models that the asymptotic long-time value of
the OTO correlator signals still the equilibrium critical points and ordered
phases. For the long-range extension, the OTO correlator instead determines a
dynamical quantum phase transition in the model. We discuss how our findings
can be observed in current experiments of trapped ions or Rydberg atoms.

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The categories of this paper are: hep-ph
7
The categories of this paper are: hep-th
16
The categories of this paper are: stat
3
The categories of this paper are: physics
32
The categories of this paper are: atom-ph
9
The categories of this paper are: nlin
25
The categories of this paper are: patt-sol
23
The categories of this paper are: solv-int
35
The categories of this paper are: mtrl-th
8
The categories of this paper are: hep-ex
10
The categories of this paper are: q-bio
31
The categories of this paper are: ao-sci
20
The categories of this paper are: acc-phys
21
The categories of this paper are: adap-org
24
The categories of this paper are: dg-ga
37
The categories of this paper are: supr-con