Qprop-ND: A Nondipole Extension of the Qprop Package for Strong-Field Laser Physics
Abstract
The Qprop 3.0 package for the solution of the time-dependent Schrödinger equation for an electron in a laser field and atomic potential is extended to incorporate nondipole effects related to the laser wave propagation. The developed code can be used for the simulation of strong field atomic phenomena in the nondipole regime, such as above-threshold ionization, ionization stabilization in high-frequency laser fields, high-order harmonic generation, when the effects connected with the magnetic field are non-negligible or when the laser wavelength is comparable with the atomic size. Similar to the dipole Qprop the wave function is expanded in spherical harmonics, the time-propagation of the wave functions is performed using the Crank- Nicolson approach, and the photoelectron spectra are calculated employing the t-SURFF or i- SURFV methods. The validity and accuracy of the implementation are demonstrated through several illustrative examples.
Related
- Nondipole Coulomb effects in strong x-ray field ionization
- Refining gravitational wave and collider physics dialogue via singlet scalar extension
- Caustics and catastrophes in strong-field physics − Picard-Lefschetz theory as a universal approach to saddle-point methods in attosecond science
- Strong gravity physics of dynamical horizons in black hole mergers and its imprint in their gravitational radiation
- svPITE: A Python package for the state-vector-based probabilistic imaginary-time evolution algorithm
BibTeX
@misc{he2026qpropnd,
title = {{Qprop-ND: A Nondipole Extension of the Qprop Package for Strong-Field Laser Physics}},
author = {Haoyuan He and Zhao-Han Zhang and Karen Z. Hatsagortsyan and Christoph H. KeiteL},
howpublished = {arXiv},
year = {2026},
month = sep,
doi = {10.48550/arxiv.2609.35401},
eprint = {2609.35401},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2609.35401},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - Qprop-ND: A Nondipole Extension of the Qprop Package for Strong-Field Laser Physics
AU - Haoyuan He
AU - Zhao-Han Zhang
AU - Karen Z. Hatsagortsyan
AU - Christoph H. KeiteL
PY - 2026
DA - 2026/09/28
PB - arXiv
DO - 10.48550/arxiv.2609.35401
UR - https://arxiv.org/abs/2609.35401
AB - The Qprop 3.0 package for the solution of the time-dependent Schrödinger equation for an electron in a laser field and atomic potential is extended to incorporate nondipole effects related to the laser wave propagation. The developed code can be used for the simulation of strong field atomic phenomena in the nondipole regime, such as above-threshold ionization, ionization stabilization in high-frequency laser fields, high-order harmonic generation, when the effects connected with the magnetic field are non-negligible or when the laser wavelength is comparable with the atomic size. Similar to the dipole Qprop the wave function is expanded in spherical harmonics, the time-propagation of the wave functions is performed using the Crank- Nicolson approach, and the photoelectron spectra are calculated employing the t-SURFF or i- SURFV methods. The validity and accuracy of the implementation are demonstrated through several illustrative examples.
ER -