Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Shannon and entanglement entropies of one- and two-dimensional critical
  wave functions   We study the Shannon entropy of the probability distribution resulting from
the ground-state wave function of a one-dimensional quantum model. This entropy
is related to the entanglement entropy of a Rokhsar-Kivelson-type wave function
built from the corresponding two-dimensional classical model. In both critical
and massive cases, we observe that it is composed of an extensive part
proportional to the length of the system and a subleading universal constant
S_0. In c=1 critical systems (Tomonaga-Luttinger liquids), we find that S_0 is
a simple function of the boson compactification radius. This finding is based
on a field-theoretical analysis of the Dyson-Gaudin gas related to dimer and
Calogero-Sutherland models. We also performed numerical demonstrations in the
dimer models and the spin-1/2 XXZ chain. In a massive (crystal) phase, S_0 is
related to the ground-state degeneracy. We also examine this entropy in the
Ising chain in a transverse field as an example showing a c=1/2 critical point.

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The categories of this paper are: eess
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The categories of this paper are: acc-phys
0
The categories of this paper are: hep-ph
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The categories of this paper are: math
9
The categories of this paper are: nlin
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The categories of this paper are: hep-lat
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The categories of this paper are: dg-ga
1
The categories of this paper are: cs
6
The categories of this paper are: astro-ph
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The categories of this paper are: solv-int
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The categories of this paper are: alg-geom
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The categories of this paper are: plasm-ph
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The categories of this paper are: chem-ph
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The categories of this paper are: hep-ex
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The categories of this paper are: q-alg
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The categories of this paper are: cmp-lg