Ionization spectra of highly Stark-shifted rubidium Rydberg states (vol 96, 013427, 2017)

被引:0
作者
Grimmel, Jens
Stecker, Markus
Kaiser, Manuel
Karlewski, Florian
Torralbo-Campo, Lara
Guenther, Andreas
Fortagh, Jozsef
机构
关键词
Ionization - Rubidium - Matrix algebra - Orthogonal functions;
D O I
10.1103/PhysRevA.98.069901
中图分类号
O43 [光学];
学科分类号
070207 ; 0803 ;
摘要
The program that we have used to perform the numerical calculations presented in our article contained an inconsistent conversion between atomic units and SI units for the matrix representation of H CAP The calculated ionization spectra are nonetheless unaffected by this because the free parameter essentially incorporated all conversion coefficients. In order to clarify this matter, we here give? in units of E h / a 6 0 , where E h is the Hartree energy and a 0 is Bohr's radius. However, since our calculations also included a conversion from energies to frequencies in SI units, the values of ? from our article have to be multiplied by a factor of h / E h , where h is Planck's constant. The parameters with corrected units are then ? = 1.52 × 10 - 10 E h / a 6 0 for the ionization spectrum near 43 S 1 / 2 and ? = 3.04 × 10 - 11 E h / a 6 0 near 70 S 1 / 2 . On a separate note, we have stated in our article that the matrix representation of the complex absorbing potential (CAP) is purely diagonal. Although this would be automatically the case for hydrogen where the radial and the angular parts of the electron wave functions are orthogonal, the matter is slightly more complicated for the numerical calculations we have performed for rubidium. We have calculated the radial wave functions by numerically integrating the radial Schrodinger equation using not the actual eigenenergies of the Hamiltonian but the energies from the Rydberg formula including experimentally obtained quantum defects. This results in radial wave functions which are not perfectly orthogonal. Ultimately, this would cause the matrix representation of the CAP to exhibit nonzero entries for ? l = 0 , ? j = 0 , and ? m j = 0 at arbitrary values of ? n . However, in our calculations we have set these entries to zero as they would couple these different states via the continuum, which we have deemed unrealistic. Therefore, the matrix representation of the CAP that we have used in our calculations is still purely diagonal. The authors would like to thank S. O. Kruger and S. Scheel for bringing these issues to their attention.. © 2018 American Physical Society.
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[1]   Ionization spectra of highly Stark-shifted rubidium Rydberg states [J].
Grimmel, Jens ;
Stecker, Markus ;
Kaiser, Manuel ;
Karlewski, Florian ;
Torralbo-Campo, Lara ;
Guenther, Andreas ;
Fortagh, Jozsef .
PHYSICAL REVIEW A, 2017, 96 (01)