92
T. Szidarovszky et al.
Fig. 4.4 Position of the stimulated emission peak near 13,770 cm −1 as a function of dressing light
intensity for a λ = 662 nm laser light. The straight line plotted was obtained by a linear fit to the
first four data points
sition wavenumber becomes nonlinear. As seen in Fig. 4.4, the value of the transition
wavenumber extrapolated to zero intensity is 13,769.7 cm
−1 . Considering that the
|X 0 0 and |X 9 2 states involved in this transition belong to the n and n − 1 Fourier
manifolds (see Fig. 4.1), the transition wavenumber between |X 0 0 and |X 9 2 can
be calculated to be 1336.0 cm
−1
= (15,105.7 − 13,769.7) cm
−1 , where 15,105.7
cm
−1 is the photon energy of the dressing light. The numerical value for the transition
wavenumber, obtained as the difference between the computed field-free eigenenergies, is 1336.1 cm
−1
= (1415.4 − 79.3) cm
−1 , where 1415.4 and 79.3 cm
−1 are
the computed energies of the |X 9 2 and |X 0 0 states, respectively. Thus, this
extrapolation technique works well.
4.4.3 Frequency Dependence of the Light-Dressed Spectrum
Figure 4.5 shows the light-dressed absorption and stimulated emission spectrum of
Na 2 dressed by a light field whose intensity is I = 10
8 W cm
−2 at different wavelengths. As can be seen in Fig. 4.5, both the absorption and the stimulated emission
spectra vary largely depending on the wavelength of the dressing light. This is the
expected behavior because the contribution of different field-free states in the lightdressed states also vary depending on the dressing-light wavelength, leading to varying transition probabilities. Therefore, by changing the dressing-light wavelength,
one can influence which transitions appear in the light-dressed spectrum.
Interestingly, the magnitudes of the Franck–Condon overlaps between the vibrational states of the X and A electronic states of Na 2 are reflected in the stimulated
emission spectrum, i.e., the number of vertical nodes in the stimulated emission spec-
T. Szidarovszky et al.
Fig. 4.4 Position of the stimulated emission peak near 13,770 cm −1 as a function of dressing light
intensity for a λ = 662 nm laser light. The straight line plotted was obtained by a linear fit to the
first four data points
sition wavenumber becomes nonlinear. As seen in Fig. 4.4, the value of the transition
wavenumber extrapolated to zero intensity is 13,769.7 cm
−1 . Considering that the
|X 0 0 and |X 9 2 states involved in this transition belong to the n and n − 1 Fourier
manifolds (see Fig. 4.1), the transition wavenumber between |X 0 0 and |X 9 2 can
be calculated to be 1336.0 cm
−1
= (15,105.7 − 13,769.7) cm
−1 , where 15,105.7
cm
−1 is the photon energy of the dressing light. The numerical value for the transition
wavenumber, obtained as the difference between the computed field-free eigenenergies, is 1336.1 cm
−1
= (1415.4 − 79.3) cm
−1 , where 1415.4 and 79.3 cm
−1 are
the computed energies of the |X 9 2 and |X 0 0 states, respectively. Thus, this
extrapolation technique works well.
4.4.3 Frequency Dependence of the Light-Dressed Spectrum
Figure 4.5 shows the light-dressed absorption and stimulated emission spectrum of
Na 2 dressed by a light field whose intensity is I = 10
8 W cm
−2 at different wavelengths. As can be seen in Fig. 4.5, both the absorption and the stimulated emission
spectra vary largely depending on the wavelength of the dressing light. This is the
expected behavior because the contribution of different field-free states in the lightdressed states also vary depending on the dressing-light wavelength, leading to varying transition probabilities. Therefore, by changing the dressing-light wavelength,
one can influence which transitions appear in the light-dressed spectrum.
Interestingly, the magnitudes of the Franck–Condon overlaps between the vibrational states of the X and A electronic states of Na 2 are reflected in the stimulated
emission spectrum, i.e., the number of vertical nodes in the stimulated emission spec-