Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Pure and Random Quantum Ising Chain : Shannon and Renyi entropies of the
  ground state via real space renormalization   The Shannon and the Renyi entropies of the ground state wavefunction in the
pure and in the random quantum Ising chain are studied via the self-dual
Fernandez-Pacheco real-space renormalization procedure. In particular, we
analyze the critical behavior of the leading extensive term at the quantum
phase transition : the derivative with respect to the control parameter is
found to be logarithmically divergent in the pure case, and to display a cusp
singularity in the random case. This cusp singularity for the random case is
also derived via the Strong Disorder Renormalization approach.

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The categories of this paper are: alg-geom
9
The categories of this paper are: nlin
11
The categories of this paper are: hep-lat
3
The categories of this paper are: physics
19
The categories of this paper are: eess
7
The categories of this paper are: hep-th
36
The categories of this paper are: cmp-lg
12
The categories of this paper are: nucl-th
5
The categories of this paper are: gr-qc
24
The categories of this paper are: dg-ga
29
The categories of this paper are: funct-an
35
The categories of this paper are: mtrl-th
10
The categories of this paper are: q-bio
13
The categories of this paper are: quant-ph
37
The categories of this paper are: supr-con
26
The categories of this paper are: bayes-an