Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Edge Localized Schr\"odinger Cat States in Finite Lattices via Periodic
  Driving   Floquet states have been used to describe the impact of periodic driving on
lattice systems, either using a tight-binding model, or by using a continuum
model where a Kronig-Penney-like description has been used to model spatially
periodic systems in one dimension. A number of these studies have focused on
finite systems, and results from these studies are distinct from those of
infinite lattice systems as a consequence of boundary effects. In the case of a
finite system, there remains a discrepancy in the results between tight-binding
descriptions and continuous lattice models. Periodic driving by a
time-dependent field in tight-binding models results in a collapse of all
quasienergies within a band at special driving amplitudes. In the continuum
model, on the other hand, a pair of nearly-degenerate edge bands emerge and
remain gapped from the bulk bands as the field amplitude increases. We resolve
these discrepancies and explain how these edge bands represent Schr\"odinger
cat-like states with effective tunneling across the entire lattice. Moreover,
we show that these extended cat-like states become perfectly localized at the
edge sites when the external driving amplitude induces a collapse of the bulk
bands.

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The categories of this paper are: stat
30
The categories of this paper are: q-alg
12
The categories of this paper are: nucl-th
1
The categories of this paper are: cs
25
The categories of this paper are: patt-sol
2
The categories of this paper are: math
18
The categories of this paper are: econ
17
The categories of this paper are: q-fin
20
The categories of this paper are: acc-phys
28
The categories of this paper are: alg-geom
11
The categories of this paper are: hep-lat
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The categories of this paper are: supr-con
31
The categories of this paper are: ao-sci
5
The categories of this paper are: gr-qc
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The categories of this paper are: dg-ga
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The categories of this paper are: comp-gas