Vibrational populations as a function of time for the laser loop encircling the maximum transfer peak (7,8) corresponding to a pulse duration <em>T</em><sub>max</sub> = 50 fs A Jaouadi M Desouter-Lecomte R Lefebvre O Atabek 10.6084/m9.figshare.1012228.v1 https://iop.figshare.com/articles/figure/_Vibrational_populations_as_a_function_of_time_for_the_laser_loop_encircling_the_maximum_transfer_pe/1012228 <p><strong>Figure 5.</strong> Vibrational populations as a function of time for the laser loop encircling the maximum transfer peak (7,8) corresponding to a pulse duration <em>T</em><sub>max</sub> = 50 fs. (a) The initial bound state is <em>v</em> = 7. Solid black line for P_{7,7}^{{\rm WP}}, dashed red line for P_{8,7}^{{\rm WP}} and dotted blue line for P_{6,7}^{{\rm WP}}. (b) The initial bound state is <em>v</em> = 8. Solid black line for P_{7,8}^{{\rm WP}}, dashed red line for P_{8,8}^{{\rm WP}} and dashed-dotted green line for P_{9,8}^{{\rm WP}}.</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 wp pulse duration Tmax vibrational states laser loop wavepacket propagation wavepacket dynamics population inversion Floquet scheme proposals rest laser field coalescing resonances Floquet model population inversions 50 fs adiabatic Floquet theory cooling strategies Atomic Physics Molecular Physics