Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Universal logarithmic corrections to entanglement entropies in two
  dimensions with spontaneously broken continuous symmetries   We explore the R\'enyi entanglement entropies of a one-dimensional (line)
subsystem of length $L$ embedded in two-dimensional $L\times L$ square lattice
for quantum spin models whose ground-state breaks a continuous symmetry in the
thermodynamic limit. Using quantum Monte Carlo simulations, we first study the
$J_1 - J_2$ Heisenberg model with antiferromagnetic nearest-neighbor $J_1>0$
and ferromagnetic second-neighbor couplings $J_2\le 0$. The signature of SU(2)
symmetry breaking on finite size systems, ranging from $L=4$ up to $L=40$
clearly appears as a universal additive logarithmic correction to the R\'enyi
entanglement entropies: $l_q \ln L$ with $l_q\simeq 1$, independent of the
R\'enyi index and values of $J_2$. We confirm this result using a high
precision spin-wave analysis (with restored spin rotational symmetry) on finite
lattices up to $10^5\times 10^5$ sites, allowing to explore further
non-universal finite size corrections and study in addition the case of U(1)
symmetry breaking. Our results fully agree with the prediction $l_q=n_G/2$
where $n_G$ is the number of Goldstone modes, by Metlitski and Grover
[arXiv:1112.5166].

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The categories of this paper are: dg-ga
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The categories of this paper are: math
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The categories of this paper are: gr-qc
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The categories of this paper are: eess
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The categories of this paper are: econ
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The categories of this paper are: stat
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The categories of this paper are: acc-phys
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The categories of this paper are: hep-ph
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The categories of this paper are: patt-sol
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The categories of this paper are: solv-int
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The categories of this paper are: ao-sci
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The categories of this paper are: mtrl-th
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The categories of this paper are: hep-th
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The categories of this paper are: bayes-an
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The categories of this paper are: atom-ph
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The categories of this paper are: supr-con