Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Dynamical Fragile Topology in Floquet Crystals   Although fragile topology has been intensely studied in static crystals in
terms of Wannier obstruction, it is not clear how to generalize the concept to
dynamical systems. In this work, we generalize the concept of fragile topology,
and provide a definition of fragile topology for noninteracting Floquet
crystals, which we refer to as dynamical fragile topology. In contrast to the
static fragile topology defined by Wannier obstruction, dynamical fragile
topology is defined for the nontrivial quantum dynamics characterized by the
obstruction to static limits (OTSL). Specifically, the OTSL of a Floquet
crystal is fragile if and only if it disappears after adding a
symmetry-preserving static Hamiltonian in a direct-sum way preserving the
relevant gaps (RGs). We further present a concrete 2+1D example for dynamical
fragile topology, based on a model that is qualitatively the same as the
dynamical model with anomalous chiral edge modes in [Rudner et al., Phys. Rev.
X 3, 031005 (2013)]. The fragile OTSL in the 2+1D example exhibits anomalous
chiral edge modes for a natural open boundary condition, and does not require
any crystalline symmetries besides lattice translations. Our work paves the way
to study fragile topology for general quantum dynamics.

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The categories of this paper are: funct-an
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The categories of this paper are: nucl-th
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The categories of this paper are: ao-sci
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The categories of this paper are: dg-ga
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The categories of this paper are: hep-ex
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The categories of this paper are: hep-lat
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The categories of this paper are: solv-int
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The categories of this paper are: chem-ph
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The categories of this paper are: plasm-ph
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The categories of this paper are: hep-th
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The categories of this paper are: hep-ph
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The categories of this paper are: chao-dyn
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The categories of this paper are: supr-con
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The categories of this paper are: math-ph
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The categories of this paper are: gr-qc
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The categories of this paper are: mtrl-th