In the regime of the Raman-Nath approximation we show coherence control of threedimensional atom localization with high precession and resolution via probe absorption when a five-level atomic system is cyclically driven by three orthogonal standing optical wave-fields together with one traveling optical wave-field and two microwave wave-fields in an optical cavity. We apply wavevector mismatch and subsequently the Doppler-free technique to the atom localization system to minimize the imprecision in the atom's position in the standing wave-field caused by its high velocity in the cavity. The position of the single atom is freed from the two effects by collinear coupling of the driving fields with the atom in the cavity. The atomic position is controlled in the sub-wavelength domain of the standing wave-field with 100% probability and high quality resolution by adjusting the relative phase and amplitude of the driving fields.
This study shows atomic dephasing and coherence controlled tuning of a triple color scattering light from a four-level atomic system into the ones of single and double color when the system is cyclically coupled with one microwave field and two optical fields. The scattering light with the symmetric double resonance in the latter case tunes into two distinct features of the asymmetric Fano-like resonance using relative phase of the coupling fields and vice versa. The asymmetric resonance, in each case, agrees excellently with the original formulation of Fano (1961 Phys. Rev. 124 1866. The coherence tuning of the resonances, caused by the constructive interference effect in the spectrum, is analyzed analytically. Distinct in the technique, we further show atomic dephasing-induced tuning of the symmetric double and asymmetric single Fano-like resonance into a Lorentzian like statistical behavior. Upon adjusting the relative amplitude of the coupling fields in favor of the resonance tuning, the triple color scattered light is controlled from a sharpened central single and broadened sides double line through central broadened single and sides sharpened double line.
We analyse the evolution of a weak probe optical field propagation through a five-level atomic medium cyclically driven by two strong optical and microwave fields. It is shown that the competition between the electromagnetically induced transparency and the Autler-Townes effect can be controlled by altering the relative phase of the coupling fields in the presence of the atomic dephasing reservoir.
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