Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Measuring topological invariants from generalized edge states in
  polaritonic quasicrystals   We investigate the topological properties of Fibonacci quasicrystals using
cavity polaritons. Composite structures made of the concatenation of two
Fibonacci sequences allow investigating generalized edge states forming in the
gaps of the fractal energy spectrum. We employ these generalized edge states to
determine the topological invariants of the quasicrystal. When varying a
structural degree of freedom (phason) of the Fibonacci sequence, the edge
states spectrally traverse the gaps, while their spatial symmetry switches: the
periodicity of this spectral and spatial evolution yields direct measurements
of the gap topological numbers. The topological invariants that we determine
coincide with those assigned by the gap-labeling theorem, illustrating the
direct connection between the fractal and topological properties of Fibonacci
quasicrystals.

22
The categories of this paper are: chao-dyn
13
The categories of this paper are: quant-ph
32
The categories of this paper are: atom-ph
8
The categories of this paper are: hep-ex
1
The categories of this paper are: cs
6
The categories of this paper are: astro-ph
23
The categories of this paper are: solv-int
17
The categories of this paper are: q-fin
37
The categories of this paper are: supr-con
10
The categories of this paper are: q-bio
35
The categories of this paper are: mtrl-th
21
The categories of this paper are: adap-org
12
The categories of this paper are: nucl-th
30
The categories of this paper are: q-alg
27
The categories of this paper are: comp-gas
24
The categories of this paper are: dg-ga