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Long-lasting molecular alignment: Fact or fiction?
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10.1063/1.3312533
/content/aip/journal/jcp/132/7/10.1063/1.3312533
http://aip.metastore.ingenta.com/content/aip/journal/jcp/132/7/10.1063/1.3312533
View: Figures

Figures

Image of FIG. 1.
FIG. 1.

Upper panel shows the time dependence of molecular alignment, given by , during several laser pulses for two different initial states. The time envelope of the laser is the black line. The calculation corresponds to the parameters in Eq. (7), in units, and . The middle panel shows the composition of the wave function that gives maximum alignment (red), in the rotational basis set, at two times, before the launch of the laser field (left) and when the maximum of the last laser pulse takes place. The lower panel shows the same for the wave function for which the alignment is smaller (blue). A global phase factor has been eliminated for the wave functions at the time when the intensity reaches the maximum value.

Image of FIG. 2.
FIG. 2.

Density plots of two eigenstates of , Eq. (7), in the basis set, for , , , , and . The two cyclic states shown in Fig. 1 were calculated from these states. The eigenstate in (b) is the misaligned state and it occupies a larger number of basis functions than the aligned state in (a). In order to make visible the long tails the plots represent , Eq. (11). Coefficients for which have been eliminated.

Image of FIG. 3.
FIG. 3.

In the upper row are shown the eigenvalues of in the first Brillouin zone (see text) as a function of , calculated with , . Column (a) is for a frequency resonant with the transition . Column (b) is for a nonresonant frequency, such that , where and . Column (c) corresponds to , . The middle row represents the same eigenvalues but the label of the axis is an index that identifies eigenvalues by their quasienergy ordering. The lower row gives the level spacing distributions.

Image of FIG. 4.
FIG. 4.

Same as Fig. 3 but instead of 16 000.

Image of FIG. 5.
FIG. 5.

Lower panel gives the logarithm of the error bounds for the three lowest quasienergy Floquet eigenstates of , Eq. (7), for , (both in units), and , as a function of the value to which the matrix representation of is truncated. The upper panel shows the corresponding quasienergies. The lines connect the different points according to quasienergy ordering and they are plotted only to guide the eye but have no other meaning. The same color is used in both panels to identify a given quasienergy and its error bound.

Image of FIG. 6.
FIG. 6.

The three cyclic vectors that were used to plot Fig. 5 for and . The left column gives the composition of the cyclic states at , and right column at . A global phase factor has been eliminated for the wave functions at . Colors are used to identify the cyclic states with their quasienergies and error bounds shown in Fig. 5.

Image of FIG. 7.
FIG. 7.

Lower panel gives the logarithm of the error bounds for three Floquet eigenstates of , Eq. (7), for , (both in units), , and , as a function of the value to which the matrix representation of is truncated. The upper panel shows the corresponding quasienergies. The lines connect the different points according to quasienergy ordering and they are plotted only to guide the eye but have no other meaning. The same color is used in both panels to identify a given quasienergy and its error bound.

Image of FIG. 8.
FIG. 8.

Lower panel gives the logarithm of the error bounds for five Floquet eigenstates of , Eq. (7), for , (both in units), , and , as a function of the value to which the matrix representation of is truncated. The upper panel shows the corresponding quasienergies. The lines connect the different points according to quasienergy ordering and they are plotted only to guide the eye but have no other meaning. The same color is used in both panels to identify a given quasienergy and its error bound.

Image of FIG. 9.
FIG. 9.

Cyclic vectors, at , for the same parameter values as in Fig. 8. Here and columns (a) , (b) , and (c) . Colors match those used in Fig. 8.

Image of FIG. 10.
FIG. 10.

Cyclic vectors, at , for the same parameters as in Fig. 8. Here and columns (a) , (b) , and (c) . Colors match those used in Fig. 8.

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/content/aip/journal/jcp/132/7/10.1063/1.3312533
2010-02-17
2014-04-19
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752b84549af89a08dbdd7fdb8b9568b5 journal.articlezxybnytfddd
Scitation: Long-lasting molecular alignment: Fact or fiction?
http://aip.metastore.ingenta.com/content/aip/journal/jcp/132/7/10.1063/1.3312533
10.1063/1.3312533
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