Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Periodically Driven Three-Level Systems   We study the dynamics of a three-level system (ThLS) sinusoidally driven in
both longitudinal and transverse directions and in the presence of a uniaxial
anisotropy $D$ entering the generic Hamiltonian through the zero-energy
splitting term $D(S^{z})^{2}$ where $S^{z}$ is the projection of the spin
vector along the quantization direction. As a consequence of the addition of
this term, the order of the symmetry group of the Hamiltonian is increased by a
unit and we observe a sequence of cascaded $SU(3)$
Landau-Zener-St\"uckelberg-Majorana (LZSM) interferometers. The study is
carried out by analytically and numerically calculating the probabilities of
non-adiabatic and adiabatic evolutions. For non-adiabatic evolutions, two main
approximations based on the weak and strong driving limits are discussed by
comparing the characteristic frequency of the longitudinal drive with the
amplitudes of driven fields. For each of the cases discussed, our analytical
results quite well reproduce the gross temporal profile of the exact numerical
probabilities. This allows us to check the range of validity of analytical
results and confirm our assumptions. For adiabatic evolutions, a general theory
is constructed allowing for the description of adiabatic passages in arbitrary
ThLSs in which direct transitions between states with extremal spin projections
are forbidden. A compact formula for adiabatic evolutions is derived and
numerically tested for some illustrative cases. Interference patterns
demonstrating multiple LZSM transitions are reported. Applications of our
results to the Nitrogen Vacancy Center (NVC) in diamond are discussed.

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The categories of this paper are: ao-sci
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The categories of this paper are: quant-ph
7
The categories of this paper are: hep-th
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The categories of this paper are: nucl-th
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The categories of this paper are: funct-an
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The categories of this paper are: atom-ph
0
The categories of this paper are: hep-ph
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The categories of this paper are: patt-sol
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The categories of this paper are: gr-qc
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The categories of this paper are: physics
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The categories of this paper are: dg-ga
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The categories of this paper are: mtrl-th
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The categories of this paper are: cs
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The categories of this paper are: plasm-ph
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The categories of this paper are: chao-dyn
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The categories of this paper are: supr-con