Implementation and validation of the relativistic transient absorption theory within the dipole approximation
(2021) In Electronic Structure 3.- 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,... (More)
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.
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- author
- Zapata, Felipe ; Vinbladh, Jimmy LU ; Lindroth, Eva and Dahlström, Jan Marcus LU
- organization
- publishing date
- 2021-03
- type
- Contribution to journal
- publication status
- published
- subject
- keywords
- Attosecond transient absorption, Gauge transformation, Power in quantum mechanics, Relativistic velocity, Time dependent Dirac equation, Zitterbewegung
- in
- Electronic Structure
- volume
- 3
- article number
- 014002
- publisher
- IOP Publishing
- external identifiers
-
- scopus:85106955050
- ISSN
- 2516-1075
- DOI
- 10.1088/2516-1075/abe191
- language
- English
- LU publication?
- yes
- id
- dc936934-e619-4bbd-9e26-282fa5fd47bb
- date added to LUP
- 2021-06-14 17:14:27
- date last changed
- 2022-04-27 02:25:34
@article{dc936934-e619-4bbd-9e26-282fa5fd47bb,
abstract = {{<p>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.</p>}},
author = {{Zapata, Felipe and Vinbladh, Jimmy and Lindroth, Eva and Dahlström, Jan Marcus}},
issn = {{2516-1075}},
keywords = {{Attosecond transient absorption; Gauge transformation; Power in quantum mechanics; Relativistic velocity; Time dependent Dirac equation; Zitterbewegung}},
language = {{eng}},
publisher = {{IOP Publishing}},
series = {{Electronic Structure}},
title = {{Implementation and validation of the relativistic transient absorption theory within the dipole approximation}},
url = {{http://dx.doi.org/10.1088/2516-1075/abe191}},
doi = {{10.1088/2516-1075/abe191}},
volume = {{3}},
year = {{2021}},
}