Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Ultra-high Resolution Spectroscopy with atomic or molecular Dark
  Resonances: Exact steady-state lineshapes and asymptotic profiles in the
  adiabatic pulsed regime   Exact and asymptotic lineshape expressions are derived from the
semi-classical density matrix representation describing a set of closed
three-level atomic or molecular states including decoherences, relaxation rates
and light-shifts. An accurate analysis of the exact steady-state Dark Resonance
profile describing the Autler-Townes doublet, the Electromagnetically Induced
Transparency or Coherent Population Trapping resonance and the Fano-Feshbach
lineshape, leads to the linewidth expression of the two-photon Raman transition
and frequency-shifts associated to the clock transition. From an adiabatic
analysis of the dynamical Optical Bloch Equations in the weak field limit, a
pumping time required to efficiently trap a large number of atoms into a
coherent superposition of long-lived states is established. For a highly
asymmetrical configuration with different decay channels, a strong two-photon
resonance based on a lower states population inversion is established when the
driving continuous-wave laser fields are greatly unbalanced. When time
separated resonant two-photon pulses are applied in the adiabatic pulsed regime
for atomic or molecular clock engineering, where the first pulse is long enough
to reach a coherent steady-state preparation and the second pulse is very short
to avoid repumping into a new dark state, Dark Resonance fringes mixing
continuous-wave lineshape properties and coherent Ramsey oscillations are
created. Those fringes allow interrogation schemes bypassing the power
broadening effect. Frequency-shifts affecting the central clock fringe computed
from asymptotic profiles and related to Raman decoherence process, exhibit
non-linear shapes with the three-level observable used for quantum measurement.
We point out that different observables experience different shifts on the
lower-state clock transition.

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The categories of this paper are: hep-ph
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The categories of this paper are: gr-qc
7
The categories of this paper are: hep-th
34
The categories of this paper are: chem-ph
19
The categories of this paper are: eess
17
The categories of this paper are: q-fin
31
The categories of this paper are: ao-sci
2
The categories of this paper are: math
6
The categories of this paper are: astro-ph
15
The categories of this paper are: nucl-ex
18
The categories of this paper are: econ
14
The categories of this paper are: math-ph
30
The categories of this paper are: q-alg
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The categories of this paper are: hep-lat
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The categories of this paper are: adap-org
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The categories of this paper are: alg-geom