Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Floquet Systems with Hall Effect: Topological Properties and Phase
  Transitions   We study the quantum topological properties of Floquet (time-periodic)
systems exhibiting Hall effects due to perpendicular magnetic and electric
fields. The systems are charged particles periodically kicked by a
one-dimensional cosine potential in the presence of such fields, where the
magnetic field is perpendicular also to the kicking direction. We consider
parameter values including small kicking strength, which enables the quantum
evolution to be described by effective Floquet Hamiltonians. We also assume the
semiclassical regime of a small scaled Planck constant. In the case of an
electric field parallel to the kicking direction, one observes, as the
electric-field strength is varied, a series of topological phase transitions,
causing changes in the Chern numbers of quasienergy (QE) bands. These
transitions are due to band degeneracies which, in an initial wide range of
electric-field strengths, are shown to occur when the energy of the classical
separatrix is approximately equal to the average QE of the degenerating bands.
For larger electric-field strengths, the degeneracies reflect changes in the
classical phase-space structure. In the case of an electric field not parallel
to the kicking direction and satisfying some resonance conditions, we show that
the topological properties of the QE bands are characterized by universal
(electric-field independent) Chern numbers. These same numbers also
characterize the QE band spectrum in the first case, at the end of the basic
electric-field interval where the topological phase transitions take place. The
two cases above are known to exhibit significantly different dynamical rates,
both classical and quantum. This is well reflected by the different topological
properties in the two cases.

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The categories of this paper are: funct-an
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The categories of this paper are: cmp-lg
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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: hep-lat
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The categories of this paper are: physics
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The categories of this paper are: chao-dyn
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The categories of this paper are: econ
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The categories of this paper are: math-ph
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The categories of this paper are: adap-org
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The categories of this paper are: gr-qc
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The categories of this paper are: q-bio
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The categories of this paper are: alg-geom
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The categories of this paper are: plasm-ph
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The categories of this paper are: bayes-an
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The categories of this paper are: eess