Detailed instantaneous ionization rate of H₂⁺ in an intense laser field

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Mohsen Vafaee,¹ Hassan Sabzyan,¹ Zahra Vafaee,² and Ali Katanforoush³
¹Department of Chemistry, University of Isfahan, Isfahan 81746-73441, I. R. Iran
²Department of Mathematics, University of Isfahan, Isfahan 81746-73441, I. R. Iran
³School of Mathematics, Institute for Studies in Theoretical Physics and Mathematics (IPM), Tehran 19395-5746, I. R. Iran

Received 10 June 2006; published 23 October 2006

Componentinstantaneous ionization rate (IIR) is introduced and the approach ofits calculation is formulated. The component IIR's and the overall(time-averaged) component ionization rates are calculated for H₂⁺ at differentvalues of internuclear distance in a linearly polarized laser fieldwith I=1.0×10¹⁴ W/cm² intensity and lambda =1064 nm wavelength by direct numerical solutionof the fixed-nuclei full dimensional time-dependent Schrödinger equation. The exactoverall component ionization rates calculated by time-averaging of the componentIIR are compared with those calculated approximately via the virtualdetector (VD) method. Details of the time-dependent behavior of theoutgoing and incoming electron wave packets of the H₂⁺ systemin intense laser field at subfemtosecond time scale are studiedbased on the calculated component IIR. It is shown clearlythat the positive (outgoing electron wave packet) signals of theIIR and its z component are strong and sharp butthe negative (returning electron wave packet) signals of the IIRare smooth and weak. The structure of the rho componentof the IIR has smooth structure. Relation between the R-dependentionization rate and duration of the ramp of the laserpulse is studied and it is explicitly shown that forinternuclear distance R<5.6, when the laser pulse is turned onwithout a ramp, the first peak of R-dependent ionization ratesmoves towards the peak of the lower time-dependent Floquet quasienergystate (QES).

URL:	http://link.aps.org/doi/10.1103/PhysRevA.74.043416
DOI:	10.1103/PhysRevA.74.043416
PACS:	33.80.Rv; 42.50.Hz; 42.65.Ky 33.80.Rv Multiphoton ionization and excitation to highly excited states in molecules e.g., Rydberg states 42.50.Hz Strong-field excitation of optical transitions in quantum systems; multiphoton processes; dynamic Stark shift 42.65.Ky Optical frequency conversion; optical harmonic generation, including higher-order harmonic generation YEAR: 2006
KEYWORDS:	hydrogen ions, positive ions, molecule-photon collisions, photoionisation, Schrodinger equation

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Comment on “Detailed instantaneous ionization rate of H₂⁺ in an intense laser field”
Alejandro Saenz and Manohar Awasthi
Phys. Rev. A 76, 067401 (2007)
Reply to “Comment on `Detailed instantaneous ionization rate of H₂⁺ in intense laser field' ”
Mohsen Vafaee and Hassan Sabzyan
Phys. Rev. A 76, 067402 (2007)