Effect of the clockwise loop of figure 8(a) as applied on <em>v</em> = 11 (panel (a)) or <em>v</em> = 14 (panel (b))

<p><strong>Figure 9.</strong> Effect of the clockwise loop of figure <a href="http://iopscience.iop.org/0953-4075/46/14/145402/article#jpb470387f8" target="_blank">8</a>(a) as applied on <em>v</em> = 11 (panel (a)) or <em>v</em> = 14 (panel (b)). The populations which are plotted are P_{11,11}^{{\rm WP}} by the solid blue line, P_{12,11}^{{\rm WP}} by the dashed red line, for panel (a); and P_{14,14}^{{\rm WP}} by the solid green line, P_{13,14}^{{\rm WP}} by the dashed black line, for panel (b).</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>