Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Renormalization method for proving frustration-free local spin chains
  are gapped   Key properties of a physical system depend on whether it is gapped, i.e.
whether its spectral gap has a positive lower bound that is independent of
system size. In quantum information theory, the question of whether a system is
gapped has essential computational significance as well. Here, we introduce a
rigorous renormalization method to prove that a spin chain is gapped. This
approach exploits the fact that ground states of gapped systems exhibit
decaying correlations. We apply the method to show that two interesting models
are gapped, successfully completing proofs even where the previously
established methods are inconclusive.

15
The categories of this paper are: nucl-ex
17
The categories of this paper are: q-fin
29
The categories of this paper are: funct-an
32
The categories of this paper are: atom-ph
34
The categories of this paper are: chem-ph
24
The categories of this paper are: dg-ga
35
The categories of this paper are: mtrl-th
7
The categories of this paper are: hep-th
21
The categories of this paper are: adap-org
10
The categories of this paper are: q-bio
33
The categories of this paper are: plasm-ph
22
The categories of this paper are: chao-dyn
1
The categories of this paper are: cs
26
The categories of this paper are: bayes-an
11
The categories of this paper are: hep-lat
28
The categories of this paper are: alg-geom