Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Detecting quantum phase transitions in nonintegrable and long-range
  Ising chains using spatially minimal measurements   In a recent work [Da\u{g}, Uhrich, and Halimeh, arXiv:2105.05986],
single-site observables have been introduced as a versatile tool for the
detection of equilibrium and dynamical criticality in short-range
near-integrable many-body models. Here, we extend the potential of single-site
observables as probes of quantum phase transitions to strongly nonintegrable
models with long-range power-law and next-nearest-neighbor interactions. Our
$t$-DMRG calculations verify the results of the mean-field theory for
near-integrable transverse-field Ising chains (TFIC) both with finite-size and
finite-time scaling analyses. Furthermore, we find that both finite-size and
finite-time analyses suggest a dynamical critical point for a strongly
nonintegrable and locally connected TFIC. We demonstrate the presence of a
quasi-stationary temporal regime in the power-law interacting TFIC, and extract
local-order profiles for TFIC in the long-range Ising universality class with
algebraic light cones. Finally, we discuss the robustness of the
out-of-equilibrium critical exponent $\beta\sim 4/3$ found for the integrable
and near-integrable TFICs.

18
The categories of this paper are: econ
16
The categories of this paper are: stat
27
The categories of this paper are: comp-gas
15
The categories of this paper are: nucl-ex
23
The categories of this paper are: solv-int
30
The categories of this paper are: q-alg
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The categories of this paper are: eess
26
The categories of this paper are: bayes-an
1
The categories of this paper are: cs
28
The categories of this paper are: alg-geom
10
The categories of this paper are: q-bio
25
The categories of this paper are: patt-sol
32
The categories of this paper are: atom-ph
37
The categories of this paper are: supr-con
31
The categories of this paper are: ao-sci
0
The categories of this paper are: hep-ph