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Pump-dump iterative squeezing of vibrational wave packets
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10.1063/1.2139091
/content/aip/journal/jcp/123/24/10.1063/1.2139091
http://aip.metastore.ingenta.com/content/aip/journal/jcp/123/24/10.1063/1.2139091

Figures

Image of FIG. 1.
FIG. 1.

Sketch of the iterative stretching-squeezing scheme.

Image of FIG. 2.
FIG. 2.

Wave packet’s average position (a), momentum (b), and width (c) obtained by analytical solution of the HO model applied to the transition in .

Image of FIG. 3.
FIG. 3.

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.

Image of FIG. 4.
FIG. 4.

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.

Image of FIG. 5.
FIG. 5.

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.

Tables

Generic image for table
Table I.

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.

Generic image for table
Table II.

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.

Generic image for table
Table III.

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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/content/aip/journal/jcp/123/24/10.1063/1.2139091
2005-12-28
2014-04-20
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752b84549af89a08dbdd7fdb8b9568b5 journal.articlezxybnytfddd
Scitation: Pump-dump iterative squeezing of vibrational wave packets
http://aip.metastore.ingenta.com/content/aip/journal/jcp/123/24/10.1063/1.2139091
10.1063/1.2139091
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