Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Effective vacua for Floquet topological phases: A numerical perspective
  on switch-function formalism   We propose a general edge index definition for two-dimensional Floquet
topological phases based on a switch-function formalism. When the Floquet
operator has a spectral gap the index covers both clean and disordered phases,
anomalous or not, and does not require the bulk to be fully localized. It is
interpreted as a non-adiabatic charge pumping that is quantized when the sample
is placed next to an effective vacuum. This vacuum is gap-dependent and
obtained from a Floquet Hamiltonian. The choice of a vacuum provides a simple
and alternative gap-selection mechanism. Inspired by the model from Rudner et
al. we then illustrate these concepts on Floquet disordered phases.
Switch-function formalism is usually restricted to infinite samples in the
thermodynamic limit. Here we circumvent this issue and propose a numerical
implementation of the edge index that could be adapted to any bulk or edge
index expressed in terms of switch functions, already existing for many
topological phases.

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The categories of this paper are: q-bio
21
The categories of this paper are: adap-org
23
The categories of this paper are: solv-int
9
The categories of this paper are: nlin
27
The categories of this paper are: comp-gas
31
The categories of this paper are: ao-sci
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The categories of this paper are: nucl-th
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The categories of this paper are: stat
34
The categories of this paper are: chem-ph
3
The categories of this paper are: physics
28
The categories of this paper are: alg-geom
18
The categories of this paper are: econ
33
The categories of this paper are: plasm-ph
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The categories of this paper are: cs
32
The categories of this paper are: atom-ph
22
The categories of this paper are: chao-dyn