Sketch of the iterative stretching-squeezing scheme.
Wave packet’s average position (a), momentum (b), and width (c) obtained by analytical solution of the HO model applied to the transition in .
Wave packet’s average position (a) and width (b) following the analytical solution applied to the transition in increasing the time delays, in order to obtain maximum squeezing at different positions (the circles are from left to right at ). Obviously the double period chosen for the time delays can be applied for all or only certain cycles.
Wave packet’s average position (a), momentum (b), and width (c) according to the analytical solution applied to the transition in , where the time delays were chosen so that all electronic transitions occur at the same Franck-Condon windows ( and ). The achieved squeezing, however, is far from maximal.
Electronic population (a), wave packet’s width (b), and pulse sequence (c) obtained by numerical solution of the TDSE for the transition in using a sequence of eight pulses at the optimal time delays with identical carrier frequency, pulse width, and amplitude. After , 52% squeezing is achieved with 4% electronic population loss.
Energy dispersion and required pulse widths to achieve perfect population transfer at all transitions in the ISS scheme. The energy results are given in , while the pulse widths are in femtosecond. The label “num” refers to calculations obtained by numerical solution of the Schrödinger equation while the label “theo” refers to the analytical results.
Average energy of the wave packet in and at different cycles of the ISS scheme. The label “num” refers to calculations obtained by numerical solution of the Schrödinger equation, while the label “theo” refers to the analytical results. Units are in In order to better compare the results we have summed the quantum zero vibrational energy to the “classical” energies obtained by the analytical formula.
Frequency shifts obtained by the numerical solution of the Schrödinger equation (num), by the theoretical model assuming classical energy expressions (theo) obtained from Eqs. (25) and (26), and by a theoretical model including quantum corrections (quant) obtained from Eqs. (A4) and (A5). Units are in is defined by .
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