Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Floquet Engineering of a Dynamical $Z_{2}$ Lattice Gauge Field with
  Ultracold Atoms   In this paper, we propose that a simple model, in which fermions coupled to a
dynamical lattice gauge field, can be engineered via the Floquet approach. The
model possess both a independent Maxwell term and the local $Z_{2}$ gauge
symmetry. Our proposal relies on a species dependent optical lattice, and can
be achieved in one, two or three dimension. By an unitary transformation, this
model can be mapped into a non-interacting composite Fermion system with
fluctuating back ground charge. With the help of this composite Fermion
picture, two characteristic observations are predicted. One is the
radio-frequency spectroscopy, which exhibits no dispersion in all parameter
regimes. Second is the the dynamical localization, which depends on the
structure of the initial states.

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The categories of this paper are: nucl-th
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The categories of this paper are: mtrl-th
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The categories of this paper are: hep-ph
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The categories of this paper are: nucl-ex
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The categories of this paper are: hep-th
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The categories of this paper are: hep-lat
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The categories of this paper are: bayes-an
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The categories of this paper are: alg-geom
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The categories of this paper are: comp-gas
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The categories of this paper are: atom-ph
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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: eess
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The categories of this paper are: hep-ex
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The categories of this paper are: astro-ph
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The categories of this paper are: gr-qc