Scaling relations of the time-dependent Dirac equation describing multiphoton ionization of hydrogen-like ions

Abstract

Approximate scaling laws with respect to the nuclear charge are introduced for the time-dependent Dirac equation describing hydrogen-like ions subject to laser fields within the dipole approximation. In particular, scaling relations with respect to the laser wavelengths and peak intensities are discussed. The validity of the scaling relations is investigated for two-, three-, four-, and five-photon ionization of hydrogen-like ions with the nuclear charges ranging from $Z=1$ to $92$ by solving the corresponding time-dependent Dirac equations adopting the properly scaled laser parameters. Good agreement is found and thus the approximate scaling relations are shown to capture the dominant effect of the response of highly-charged ions to intense laser fields compared to the one of atomic hydrogen. On the other hand, the remaining differences are shown to allow for the identification and quantification of additional, purely relativistic effects in light-matter interaction.

References in corpus (8)

• Dual kinetic balance approach to basis set expansions for the Dirac equation
• Relativistic ionization dynamics for a hydrogen atom exposed to super-intense XUV laser pulses
• Solution of the time-dependent Dirac equation for describing multiphoton ionization of highly-charged hydrogenlike ions
• Spin effects in relativistic ionization with highly charged ions in super-strong laser fields
• Dual Kinetic Balance Approach to the Dirac Equation for Axially Symmetric Systems: Application to Static and Time-Dependent Fields
• Precise and accurate measurements of strong-field photoionisation and a transferrable laser intensity calibration standard
• Alternative gauge for the description of the light-matter interaction in a relativistic framework
• Laser-driven relativistic tunneling from p-states

Cited by in corpus (3)

• Relativistic mask method for electron momentum distributions after ionization of hydrogen-like ions in strong laser fields
• Relativistic strong-field ionization of hydrogen-like atomic systems in constant crossed electromagnetic fields
• Transport properties of the pseudospin-3/2 Dirac-Weyl fermions in the double-barrier-modulated two-dimensional system