Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Quantum fidelity for one-dimensional Dirac fermions and two-dimensional
  Kitaev model in the thermodynamic limit   We study the scaling behavior of the fidelity ($F$) in the thermodynamic
limit using the examples of a system of Dirac fermions in one dimension and the
Kitaev model on a honeycomb lattice. We show that the thermodynamic fidelity
inside the gapless as well as gapped phases follow power-law scalings, with the
power given by some of the critical exponents of the system. The generic
scaling forms of $F$ for an anisotropic quantum critical point for both
thermodynamic and non-thermodynamic limits have been derived and verified for
the Kitaev model. The interesting scaling behavior of $F$ inside the gapless
phase of the Kitaev model is also discussed. Finally, we consider a rotation of
each spin in the Kitaev model around the z axis and calculate $F$ through the
overlap between the ground states for angle of rotation $\eta$ and
$\eta+d\eta$, respectively. We thereby show that the associated geometric phase
vanishes. We have supplemented our analytical calculations with numerical
simulations wherever necessary.

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The categories of this paper are: cs
17
The categories of this paper are: q-fin
32
The categories of this paper are: atom-ph
31
The categories of this paper are: ao-sci
8
The categories of this paper are: hep-ex
16
The categories of this paper are: stat
23
The categories of this paper are: solv-int
33
The categories of this paper are: plasm-ph
24
The categories of this paper are: dg-ga
27
The categories of this paper are: comp-gas
22
The categories of this paper are: chao-dyn
28
The categories of this paper are: alg-geom
36
The categories of this paper are: cmp-lg
9
The categories of this paper are: nlin
20
The categories of this paper are: acc-phys
37
The categories of this paper are: supr-con