Multiphoton transitions in a hydrogenlike atom

N. K. Rahman

N. K. Rahman

Pierre Agostini, G. Petite

Viktor A Kovarskii

H. K. Avetissian, G. F. Mkrtchian, M. G. Poghosyan

On the basis of the analytical solution of the Dirac equation the resonant multiphoton excitation of highly charged hydrogenlike ions in a strong high-frequency laser field is investigated. It is shown that the dynamics of the relativistic system is equivalent to two independent four-level systems (in the electrical-dipole approximation). The time evolution of the system is found using the nonperturbative resonant approach. We predict that due to multiphoton excitation by an appropriate laser pulse one can achieve various coherent superposition states in atomic or ionic systems with a high nuclear charge.

Yu-Shu Wang, Sabyasachi Kar, Y. K. Ho

Abstract The tune‐out and magic wavelengths (TMWs) for the hydrogenlike and screened‐hydrogenlike atoms (Z = 1‐8) are calculated using a variational method. The first three tune‐out wavelengths for each of the nS (n = 1, 2, 3) states and the first three magic wavelengths for each of the 1S‐nS (n = 2, 3) transitions of the hydrogenlike atoms in terms of nuclear charge Z, and the first TMWs for the above mentioned states or transitions of the screened‐hydrogenlike atoms in terms of the screening parameter μ and Z are presented. All the results for the TMWs are reported for the first time in the literature except the magic wavelengths for the hydrogen atom. The magic wavelengths for hydrogen atom are in agreement with the available data. The precise estimation of the TMWs would be helpful for the design of the ion‐trapping experiment of the hydrogenic systems. Our study is expected to be useful for the measurements of the hydrogenic 1S‐2S and 1S‐3S transitions spectroscopy for the improved accuracy.