Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Emergent entanglement structures and self-similarity in quantum spin
  chains   We introduce an experimentally accessible network representation for
many-body quantum states based on entanglement between all pairs of its
constituents. We illustrate the power of this representation by applying it to
a paradigmatic spin chain model, the XX model, and showing that it brings to
light new phenomena. The analysis of these entanglement networks reveals that
the gradual establishment of quasi-long range order is accompanied by a
symmetry regarding single-spin concurrence distributions, as well as by
instabilities in the network topology. Moreover, we identify the existence of
emergent entanglement structures, spatially localised communities enforced by
the global symmetry of the system that can be revealed by model-agnostic
community detection algorithms. The network representation further unveils the
existence of structural classes and a cyclic self-similarity in the state,
which we conjecture to be intimately linked to the community structure. Our
results demonstrate that the use of tools and concepts from complex network
theory enables the discovery, understanding, and description of new physical
phenomena even in models studied for decades.

32
The categories of this paper are: atom-ph
35
The categories of this paper are: mtrl-th
12
The categories of this paper are: nucl-th
8
The categories of this paper are: hep-ex
16
The categories of this paper are: stat
34
The categories of this paper are: chem-ph
3
The categories of this paper are: physics
22
The categories of this paper are: chao-dyn
37
The categories of this paper are: supr-con
33
The categories of this paper are: plasm-ph
27
The categories of this paper are: comp-gas
21
The categories of this paper are: adap-org
30
The categories of this paper are: q-alg
1
The categories of this paper are: cs
10
The categories of this paper are: q-bio
6
The categories of this paper are: astro-ph