The same as in figure 1 with λ = λ<sup>EP</sup> A Jaouadi M Desouter-Lecomte R Lefebvre O Atabek 10.6084/m9.figshare.1012226.v1 https://iop.figshare.com/articles/figure/_The_same_as_in_figure_a_href_http_iopscience_iop_org_0953_4075_46_14_145402_article_jpb470387f1_tar/1012226 <p><strong>Figure 3.</strong> The same as in figure <a href="http://iopscience.iop.org/0953-4075/46/14/145402/article#jpb470387f1" target="_blank">1</a> with λ = λ<sup>EP</sup>. (a) I_{m}=0.05 \times 10^{13} \rm \ \rm \ W\,cm^{-2}. (b) I_{m}=0.2 \times 10^{13} \rm \ \rm \ W\,cm^{-2}.</p> <p><strong>Abstract</strong></p> <p>Laser control schemes for selective population inversion between molecular vibrational states have recently been proposed in the context of molecular cooling strategies using the so-called exceptional points (corresponding to a couple of coalescing resonances). All these proposals rest on the predictions of a purely adiabatic Floquet theory. In this work we compare the Floquet model with an exact wavepacket propagation taking into account the accompanying non-adiabatic effects. We search for signatures of a given exceptional point in the wavepacket dynamics and we discuss the role of the non-adiabatic interaction between the resonances blurring the ideal Floquet scheme. Moreover, we derive an optimal laser field to achieve, within acceptable compromise and rationalizing the unavoidable non-adiabatic contamination, the expected population inversions. The molecular system taken as an illustrative example is H_{2}^{+}.</p> 2013-06-26 00:00:00 Floquet scheme vibrational states figure 1 wavepacket propagation laser field population inversion rm ep proposals rest wavepacket dynamics coalescing resonances Floquet model adiabatic Floquet theory population inversions cooling strategies Atomic Physics Molecular Physics