Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Symmetry protection of topological states in multimode photonic
  resonator chains   The driven dissipative nonlinear multimode photonic dimer is considered as
the simplest case of solitons in photonic lattices. It supports a variety of
emergent nonlinear phenomena including gear soliton generation, symmetry
breaking and soliton hopping. Surprisingly, it has been discovered that the
accessibility of solitons in dimers drastically varies for the symmetric and
anti-symmetric supermode families. Linear measurements reveal that the coupling
between transverse modes, that give rise to avoided mode crossings, can be
almost completely suppressed. We explain the origin of this phenomenon which we
refer to as symmetry protection. We show its crucial influence on the
dissipative Kerr soliton formation process in lattices of coupled high Q
resonators of any type. Examining topologically protected states in the
Su-Schrieffer-Heeger model of coupled resonators, we demonstrate that
topological protection is not sufficient against the transversal mode crossing
induced disorder. Finally, we show that the topological edge state can be
symmetry protected by carefully choosing the balance between intra- and
inter-resonator coupling to higher-order transverse modes, which suppresses
mode crossings.

17
The categories of this paper are: q-fin
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The categories of this paper are: eess
12
The categories of this paper are: nucl-th
27
The categories of this paper are: comp-gas
22
The categories of this paper are: chao-dyn
37
The categories of this paper are: supr-con
32
The categories of this paper are: atom-ph
25
The categories of this paper are: patt-sol
2
The categories of this paper are: math
24
The categories of this paper are: dg-ga
5
The categories of this paper are: gr-qc
30
The categories of this paper are: q-alg
29
The categories of this paper are: funct-an
33
The categories of this paper are: plasm-ph
6
The categories of this paper are: astro-ph
36
The categories of this paper are: cmp-lg