%0 Figure %A Jaouadi, A %A Desouter-Lecomte, M %A Lefebvre, R %A Atabek, O %D 2013 %T Same as in figure 5, but with different initial states %U https://iop.figshare.com/articles/figure/_Same_as_in_figure_a_href_http_iopscience_iop_org_0953_4075_46_14_145402_article_jpb470387f5_target_/1012229 %R 10.6084/m9.figshare.1012229.v1 %2 https://iop.figshare.com/ndownloader/files/1480051 %K Floquet scheme %K cooling strategies %K wavepacket dynamics %K vibrational states %K population inversion %K laser field %K wavepacket propagation %K proposals rest %K coalescing resonances %K population inversions %K Floquet model %K wp %K adiabatic Floquet theory %K 6. Dotted %K Atomic Physics %K Molecular Physics %X

Figure 6. Same as in figure 5, but with different initial states. (a) The initial state is v = 6. Dotted blue line for P_{6,6}^{{\rm WP}}, solid black line for P_{7,6}^{{\rm WP}}, dashed red line for P_{8,6}^{{\rm WP}}. (b) The initial state is v = 9. Dashed-dotted green line for P_{9,9}^{{\rm WP}}, dashed red line for P_{8,9}^{{\rm WP}}.

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}^{+}.

%I IOP Publishing