Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Dynamically Emerging Topological Phase Transitions in Nonlinear
  Interacting Soliton Lattices   We demonstrate dynamical topological phase transitions in evolving
Su-Schrieffer-Heeger (SSH) lattices made of interacting soliton arrays, which
are entirely driven by nonlinearity and thereby exemplify emergent nonlinear
topological phenomena. The phase transitions occur from topologically
trivial-to-nontrivial phase in periodic succession with crossovers from
topologically nontrivial-to-trivial regime. The signature of phase transition
is gap-closing and re-opening point, where two extended states are pulled from
the bands into the gap to become localized topological edge states. Crossovers
occur via decoupling of the edge states from the bulk of the lattice.

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The categories of this paper are: hep-th
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The categories of this paper are: hep-ex
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The categories of this paper are: comp-gas
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The categories of this paper are: solv-int
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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: eess
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The categories of this paper are: astro-ph
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The categories of this paper are: nucl-th
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The categories of this paper are: q-bio
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The categories of this paper are: chem-ph
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The categories of this paper are: alg-geom
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The categories of this paper are: econ
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The categories of this paper are: bayes-an
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The categories of this paper are: supr-con
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The categories of this paper are: mtrl-th