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Physical Review A

Comment on “Scheme for multistep photoionization of atoms”

Alexander A. Makarov, Vladilen S Letokhov

Published Oct 24, 2002• 1 citation
Publisher

Abstract

In a recent paper, Bo Liu and Xi-Jing Ning [Phys. Rev. A 64, 013401 (2001)] compared a multistep photoionization scheme where the resonant laser pulses act in consecutive order with one where the same laser pulses act simultaneously. Their conclusion is that the ``consecutive'' scheme is much more (several orders of magnitude) efficient than the ``simultaneous'' one, which they call traditional. We show, however, that optimum conditions for efficient photoionization with the simultaneous (or traditional) scheme are very different from those assumed by the authors. So the difference between two schemes, in terms of efficiency, is of much lower importance, if any, than that believed by the authors.

DOI
10.1103/physreva.66.047401

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We cannot agree with the Comment by Maquet et al. [Phys. Rev. A. 74, 027401 (2006)]. It seems that Maquet et al. are thinking in terms of classical fields. In our recent paper we have presented a study of the two-photon rate of He making use of quantized fields. This approach becomes a natural choice if we have in mind processes at high photon energy. In this description of the problem the squared vector potential $\mathbf{A}∙\mathbf{A}$ term is essential.

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In a recent paper, Bo Liu and Xi-Jing Ning [Phys. Rev. A 64, 013401 (2001)] compared a multistep photoionization scheme where the resonant laser pulses act in consecutive order with one where the same laser pulses act simultaneously. Their conclusion is that the consecutive'' scheme is much more (several orders of magnitude) efficient than the simultaneous'' one, which they call traditional. We show, however, that optimum conditions for efficient photoionization with the simultaneous (or traditional) scheme are very different from those assumed by the authors. So the difference between two schemes, in terms of efficiency, is of much lower importance, if any, than that believed by the authors.
Traditional schemes for multistep resonance photoionization of atoms let every employed laser beam interact with the atoms simultaneously. In such a situation, analyses via time-dependent Schr\"odinger equation show that high ionization probability requires all the laser beams must be intense enough. In order to decrease laser intensity, we proposed a scheme that the laser beam used to pump the excited atoms (in a higher bound state) into an autoionization state does not interact with the atoms until all the population is transferred by the other lasers from a ground state to the bound state. As an interesting example, we examined three-step photoionization of 235U{}^{235}\mathrm{U}235U with our scheme, showing that the intensity of two laser beams can be lowered by two orders of magnitude without losing high ionization probability.
In this reply we amend the effect of misusing an analytical formula derived in 2007 Phys. Rev. A 75 013407, but containing a misprint subsequently corrected in a recently published erratum, 2013 Phys. Rev. A 87 069905(E). Two new corrected figures are included in this reply with the gradual formation of the resonance Fano profile for the lowest and third-lowest He 1P o resonant states. The comparison between our ab initio time-dependent Feshbach method and the analytical perturbative formula is rather good in the temporal domain for the time sequence shown during and after the laser pulse up to 50 fs, although still far from reaching the final asymptotic form. Other comments are also replied to. Finally, we emphasize that in the LabTalk published on 4 June 2013, we do not mention the inadequacy of any analytical formula whatsoever and the figure caption clearly refers to the asymptotic form of the Fano profile.
We cannot agree with the Comment by Maquet et al. [Phys. Rev. A. 74, 027401 (2006)]. It seems that Maquet et al. are thinking in terms of classical fields. In our recent paper we have presented a study of the two-photon rate of He making use of quantized fields. This approach becomes a natural choice if we have in mind processes at high photon energy. In this description of the problem the squared vector potential A∙A\mathbf{A}∙\mathbf{A}A∙A term is essential.