Numerical simulations of the nonlinear quantum vacuum in the Heisenberg-Euler weak-field expansion
| Autor: | Andreas Lindner, Baris Ölmez, Hartmut Ruhl |
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| Rok vydání: | 2023 |
| Předmět: | |
| Zdroj: | Journal of Computational Physics: X. 17:100124 |
| ISSN: | 2590-0552 |
| Popis: | The Heisenberg-Euler theory of the quantum vacuum supplements Maxwell's theory of electromagnetism with nonlinear light-light interactions. These originate in vacuum polarization, a key prediction of quantum theory, and can be triggered by high-intensity laser pulses, causing a variety of intriguing phenomena. A highly-accurate numerical scheme for solving the nonlinear Heisenberg-Euler equations in leading orders of the weak-field expansion in up to three spatial dimensions plus time is presented. The algorithm possesses an almost linear vacuum dispersion relation even for smaller wavelengths. The developed solver is tested in one spatial dimension against a set of already known analytical results of quantum vacuum effects such as birefringence and harmonic generation. Its power to go beyond analytically solvable scenarios is demonstrated in more complicated settings in higher dimensions. 33 pages, 34 figures; corrections, references added |
| Databáze: | OpenAIRE |
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