TY - DATA T1 - The same as in figure 1 with λ = λEP PY - 2013/06/26 AU - A Jaouadi AU - M Desouter-Lecomte AU - R Lefebvre AU - O Atabek UR - 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 DO - 10.6084/m9.figshare.1012226.v1 L4 - https://ndownloader.figshare.com/files/1480048 KW - Floquet scheme KW - vibrational states KW - figure 1 KW - wavepacket propagation KW - laser field KW - population inversion KW - rm KW - ep KW - proposals rest KW - wavepacket dynamics KW - coalescing resonances KW - Floquet model KW - adiabatic Floquet theory KW - population inversions KW - cooling strategies KW - Atomic Physics KW - Molecular Physics N2 - Figure 3. The same as in figure 1 with λ = λEP. (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}. Abstract 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}^{+}. ER -