Three-dimensional plot of transfer peaks from <em>v</em> = 7 to <em>v</em> = 8 for different pulse durations in the λ/I plane A Jaouadi M Desouter-Lecomte R Lefebvre O Atabek 10.6084/m9.figshare.1012227.v1 https://iop.figshare.com/articles/figure/_Three_dimensional_plot_of_transfer_peaks_from_em_v_em_7_to_em_v_em_8_for_different_pulse_durations_/1012227 <p><strong>Figure 4.</strong> Three-dimensional plot of transfer peaks from <em>v</em> = 7 to <em>v</em> = 8 for different pulse durations in the λ/I plane. The colour code applies to P_{8,7}^{{\rm WP}}(T_{{\rm max}})/P_{7,7}^{{\rm WP}}(T_{{\rm max}}). The position of the EP(7,8) as calculated from the Floquet formalism, is indicated by the red solid rectangle at λ<sup>EP</sup> = 363 nm , I^{{\rm EP}}=0.58\times 10^{13} \rm \ \rm \ W\,cm^{-2}.</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 Floquet formalism max wavepacket propagation transfer peaks vibrational states population inversion pulse durations Floquet scheme adiabatic Floquet theory proposals rest ep laser field coalescing resonances Floquet model population inversions wavepacket dynamics colour code wp cooling strategies Atomic Physics Molecular Physics