Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Quantum geometric tensor and quantum phase transitions in the
  Lipkin-Meshkov-Glick model   We study the quantum metric tensor and its scalar curvature for a particular
version of the Lipkin-Meshkov-Glick model. We build the classical Hamiltonian
using Bloch coherent states and find its stationary points. They exhibit the
presence of a ground state quantum phase transition, where a bifurcation
occurs, showing a change of stability associated with an excited state quantum
phase transition. Symmetrically, for a sign change in one Hamiltonian
parameter, the same phenomenon is observed in the highest energy state.
Employing the Holstein-Primakoff approximation, we derive analytic expressions
for the quantum metric tensor and compute the scalar and Berry curvatures. We
contrast the analytic results with their finite-size counterparts obtained
through exact numerical diagonalization and find an excellent agreement between
them for large sizes of the system in a wide region of the parameter space,
except in points near the phase transition where the Holstein-Primakoff
approximation ceases to be valid.

25
The categories of this paper are: patt-sol
26
The categories of this paper are: bayes-an
10
The categories of this paper are: q-bio
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The categories of this paper are: q-alg
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The categories of this paper are: alg-geom
33
The categories of this paper are: plasm-ph
1
The categories of this paper are: cs
9
The categories of this paper are: nlin
21
The categories of this paper are: adap-org
6
The categories of this paper are: astro-ph
3
The categories of this paper are: physics
23
The categories of this paper are: solv-int
31
The categories of this paper are: ao-sci
18
The categories of this paper are: econ
24
The categories of this paper are: dg-ga
8
The categories of this paper are: hep-ex