Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Diagnosing First and Second Order Phase Transitions with Probes of
  Quantum Chaos   We explore quantum phase transitions using two probes of quantum chaos:
out-of-time-order correlators (OTOCs) and the $r$-parameter obtained from the
level spacing statistics. In particular, we address $p$-spin models associated
with quantum annealing or reverse annealing. Quantum annealing triggers
first-order or second-order phase transitions, which is crucial for the
performance of quantum devices. We find that the time-averaging OTOCs for the
ground state and the average $r$-parameter change behavior around the
corresponding transition points, diagnosing the phase transition. Furthermore,
they can identify the order (first or second) of the phase transition by their
behavior at the quantum transition point, which changes abruptly (smoothly) in
the case of first-order (second-order) phase transitions.

16
The categories of this paper are: stat
37
The categories of this paper are: supr-con
10
The categories of this paper are: q-bio
5
The categories of this paper are: gr-qc
29
The categories of this paper are: funct-an
18
The categories of this paper are: econ
26
The categories of this paper are: bayes-an
28
The categories of this paper are: alg-geom
23
The categories of this paper are: solv-int
20
The categories of this paper are: acc-phys
30
The categories of this paper are: q-alg
8
The categories of this paper are: hep-ex
36
The categories of this paper are: cmp-lg
2
The categories of this paper are: math
14
The categories of this paper are: math-ph
19
The categories of this paper are: eess