Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: How to Directly Measure Floquet Topological Invariants in Optical
  Lattices   The classification of topological Floquet systems with time-periodic
Hamiltonians transcends that of static systems. For example, spinless fermions
in periodically driven two-dimensional lattices are not completely
characterized by the Chern numbers of the quasienergy bands, but rather by a
set of winding numbers associated with the quasienergy gaps. We propose a
scheme for measuring these winding numbers in a system of fermionic cold atoms
in a periodically driven optical lattice efficiently and directly. It is based
on the construction of a one-parameter family of experimentally feasible
drives, continuously connecting the Floquet system of interest to a trivial
reference system. The winding numbers are then determined by the identification
and the tomography of the band-touching singularities occurring on the way. As
a byproduct, we also propose a method for probing spectral properties of time
evolution operators via a time analog of crystallography.

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The categories of this paper are: comp-gas
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The categories of this paper are: funct-an
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The categories of this paper are: nlin
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The categories of this paper are: adap-org
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The categories of this paper are: mtrl-th
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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: astro-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: q-alg
10
The categories of this paper are: q-bio
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The categories of this paper are: ao-sci
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The categories of this paper are: eess
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The categories of this paper are: gr-qc
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The categories of this paper are: nucl-th