%0 DATA
%A A, Jaouadi
%A M, Desouter-Lecomte
%A R, Lefebvre
%A O, Atabek
%D 2013
%T Localization of the maximum transfers in the (δλ, *I*_{m}) plane for the four cases involving the couple *v* = 12, 13 for a pulse duration *T*_{max} = 30 fs
%U https://iop.figshare.com/articles/_Localization_of_the_maximum_transfers_in_the__em_I_sub_m_sub_em_plane_for_the_four_cases_involving_/1012230
%R 10.6084/m9.figshare.1012230.v1
%2 https://iop.figshare.com/ndownloader/files/1480052
%K adiabatic Floquet theory
%K population inversion
%K Floquet scheme
%K vibrational states
%K Floquet theory
%K population inversions
%K wavepacket propagation
%K 6 nm
%K cooling strategies
%K compromise
%K couple v
%K rotation sense
%K wavepacket dynamics
%K Floquet model
%K coalescing resonances
%K rm
%K laser field
%K 30 fs
%K proposals rest
%K pulse duration Tmax
%X **Figure 7.** Localization of the maximum transfers in the (δλ, *I*_{m}) plane for the four cases involving the couple *v* = 12, 13 for a pulse duration *T*_{max} = 30 fs. The rotation sense of the loop is indicated for each case. The wavelength taken from Floquet theory is λ_{m} = 579.5 nm. The red square indicates the optimal compromise adopted for δλ = 6 nm and I_m= 0.55\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}^{+}.