Implementation and validation of the relativistic transient absorption theory within the dipole approximation. (2nd March 2021)

• Record Type: Journal Article
• Authors: Zapata, Felipe; Vinbladh, Jimmy; Lindroth, Eva; Dahlström, Jan Marcus
• Is Part Of: Electronic structure. Volume 3:Number 1(2021)
• Publication Date: 2021-03-02
• Subjects: Attosecond transient absorption -- time dependent Dirac equation -- relativistic velocity -- gauge transformation -- Zitterbewegung -- power in quantum mechanics; Electronic structure -- Periodicals; 530.411
• DOI: 10.1088/2516-1075/abe191
• Languages: English
• ISSNs: 2516-1075

Abstract

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.