Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Doubling of Entanglement Spectrum in Tensor Renormalization Group   We investigate the entanglement spectrum in HOTRG ---tensor renormalization
group (RG) method combined with the higher order singular value
decomposition--- for two-dimensional (2D) classical vertex models. In the
off-critical region, it is explained that the entanglement spectrum associated
with the RG transformation is described by `doubling' of the spectrum of a
corner transfer matrix. We then demonstrate that the doubling actually occurs
for the square-lattice Ising model by HOTRG calculations up to $D = 64$, where
$D$ is the cut-off dimension of tensors. At the critical point, we also find
that a non-trivial $D$ scaling behavior appears in the entanglement entropy. We
mention about the HOTRG for the 1D quantum system as well.

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The categories of this paper are: astro-ph
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The categories of this paper are: alg-geom
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The categories of this paper are: q-alg
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The categories of this paper are: mtrl-th
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The categories of this paper are: econ
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The categories of this paper are: supr-con
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The categories of this paper are: nucl-ex
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The categories of this paper are: hep-ph
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The categories of this paper are: bayes-an
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The categories of this paper are: chao-dyn
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The categories of this paper are: cs
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The categories of this paper are: plasm-ph
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The categories of this paper are: ao-sci
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The categories of this paper are: acc-phys
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The categories of this paper are: patt-sol
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The categories of this paper are: gr-qc