Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Out of equilibrium higher-order topological insulator: Floquet
  engineering and quench dynamics   Higher-order topological~(HOT) states,~hosting topologically protected modes
on lower-dimensional boundaries,~such as hinges and corners, have recently
extended the realm of the static topological phases.~Here we demonstrate the
possibility of realizing a two-dimensional \emph{Floquet} second-order
topological insulator, featuring corner-localized zero quasienergy modes and
characterized by quantized Floquet qudrupolar moment $Q^{\rm Flq}_{xy}=0.5$, by
periodically kicking a quantum spin Hall insulator (QSHI) with a discrete
fourfold ($C_4$) and time-reversal (${\mathcal T}$) symmetry breaking Dirac
mass perturbation.~Furthermore, we show that $Q^{\rm Flq}_{xy}$ becomes
independent of the choice of origin as the system approaches the thermodynamic
limit.~We also analyze the dynamics of a corner mode after a sudden quench,
when the $C_4$ and ${\mathcal T}$ symmetry breaking perturbation is switched
off, and find that the corresponding survival probability displays periodic
appearances of complete, partial and no revival for long time, encoding the
signature of corner modes in a QSHI.~Our protocol is sufficiently general to
explore the territory of dynamical HOT phases in insulators and gapless
systems.

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The categories of this paper are: mtrl-th
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The categories of this paper are: solv-int
7
The categories of this paper are: hep-th
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The categories of this paper are: cmp-lg
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The categories of this paper are: alg-geom
14
The categories of this paper are: math-ph
1
The categories of this paper are: cs
9
The categories of this paper are: nlin
25
The categories of this paper are: patt-sol
12
The categories of this paper are: nucl-th
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The categories of this paper are: funct-an
11
The categories of this paper are: hep-lat
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The categories of this paper are: dg-ga
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The categories of this paper are: plasm-ph
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The categories of this paper are: stat
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The categories of this paper are: econ