Implementation and validation of the relativistic transient absorption theory within the dipole approximation

Abstract A relativistic transient absorption theory is derived, implemented and validated within the dipole approximation based on the time-dependent Dirac equation. In the non-relativistic limit, it is found that the absorption agrees with the well established non-relativistic theory based on the t...

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Bibliographic Details
Published inElectronic Structure Vol. 3; no. 1; p. 14002
Main Authors Zapata, Felipe, Vinbladh, Jimmy, Lindroth, Eva, Dahlström, Jan Marcus
Format Journal Article
LanguageEnglish
Published 01.03.2021
Subjects
Atom and Molecular Physics and Optics
Atom- och molekylfysik och optik
Attosecond transient absorption
Fysik
Gauge transformation
Natural Sciences
Naturvetenskap
Physical Sciences
Power in quantum mechanics
Relativistic velocity
Time dependent Dirac equation
Zitterbewegung
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Summary:Abstract A relativistic transient absorption theory is derived, implemented and validated within the dipole approximation based on the time-dependent Dirac equation. In the non-relativistic limit, it is found that the absorption agrees with the well established non-relativistic theory based on the time-dependent Schrödringer equation. Time-dependent simulations have been performed using the Dirac equation and the Schrödinger equation for the hydrogen atom in two different attosecond transient absorption scenarios. These simulations validate the present relativistic theory. The presented work can be seen as a first step in the development of a more general relativistic attosecond transient absorption spectroscopy method for studying heavy atoms, but it also suggests the possibility of studying relativistic effects, such as Zitterbewegung , in the time domain.
ISSN:2516-1075
2516-1075
DOI:10.1088/2516-1075/abe191