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Computational modelling of the semi-classical quantum vacuum in 3D

Abstract:
The global commissioning of multi-Petawatt laser systems provides unprecedented access to ultra-high electromagnetic fields for probing the quantum vacuum. However, current analytical models are limited, necessitating large-scale simulations for experimental validation. Here, we present real-time three-dimensional simulations of two quantum vacuum effects, using a semi-classical numerical solver based on the Heisenberg-Euler Lagrangian. The simulation model is benchmarked against vacuum birefringence analytical results with a counter-propagating setup. Simulations results of both plane-wave and Gaussian pulses are consistent with theoretical predictions. The solver is then applied to four-wave mixing using three Gaussian pulses with real-time information on the harmonic evolution. We provide quantitative explanations for the astigmatism in the output and produce precise estimates of the interaction time and size. Results are compared with the plane-wave model and previous numerical results. This solver paves the way for in-depth investigations of a broad spectrum of quantum vacuum effects in any arbitrary laser setup.
Publication status:
Published
Peer review status:
Peer reviewed

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Files:
Publisher copy:
10.1038/s42005-025-02128-8

Authors


More by this author
Institution:
University of Oxford
Division:
MPLS
Department:
Physics
Sub department:
Atomic & Laser Physics
Role:
Author
More by this author
Institution:
University of Oxford
Division:
MPLS
Department:
Physics
Sub department:
Atomic & Laser Physics
Role:
Author
More by this author
Institution:
University of Oxford
Division:
MPLS
Department:
Physics
Sub department:
Atomic & Laser Physics
Role:
Author
ORCID:
0000-0002-2099-2006
More by this author
Institution:
University of Oxford
Division:
MPLS
Department:
Physics
Sub department:
Atomic & Laser Physics
Role:
Author
More by this author
Institution:
University of Oxford
Division:
MPLS
Department:
Physics
Sub department:
Atomic & Laser Physics
Role:
Author


More from this funder
Funder identifier:
https://ror.org/057g20z61
Grant:
ST/X005518/1
ST/V001655/1


Publisher:
Springer Nature
Journal:
Communications Physics More from this journal
Volume:
8
Issue:
1
Article number:
224
Publication date:
2025-06-05
Acceptance date:
2025-05-05
DOI:
EISSN:
2399-3650


Language:
English
Pubs id:
2127777
Local pid:
pubs:2127777
Deposit date:
2025-06-03

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