Quantum Entanglement of the Final Particles in the Resonant Trident Pair Production Process in a Strong Electromagnetic Wave
The resonant trident pair production process in the collision of ultrarelativistic electrons with a strong electromagnetic wave was theoretically studied. Under resonant conditions, the intermediate virtual gamma-quantum became real. As a result, the original resonant trident pair production process...
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MDPI AG
2025-03-01
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| author | Sergei P. Roshchupkin Mikhail V. Shakhov |
| author_facet | Sergei P. Roshchupkin Mikhail V. Shakhov |
| author_sort | Sergei P. Roshchupkin |
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| description | The resonant trident pair production process in the collision of ultrarelativistic electrons with a strong electromagnetic wave was theoretically studied. Under resonant conditions, the intermediate virtual gamma-quantum became real. As a result, the original resonant trident pair production process effectively split into two first-order processes by the fine structure constant: the electromagnetic field-stimulated Compton effect and the electromagnetic field-stimulated Breit–Wheeler process. The kinematics of the resonant trident pair production process were studied in detail. It was shown that there are two different cases for the energies and outgoing angles of the final particles (an electron and an electron–positron pair) in which their quantum entanglement is realized. In the first case, energies and outgoing angles of the final ultrarelativistic particles are uniquely determined by the parameters of the electromagnetic field-stimulated Compton effect (the outgoing angle of the final electron and the quantum parameter of the Compton effect). In the second case, energies and outgoing angles of the final particles are uniquely determined by the electromagnetic field-stimulated Breit–Wheeler process (the electron–positron pair outgoing angle and the Breit–Wheeler quantum parameter). It was shown that in a sufficiently wide range of frequencies and intensities of a strong electromagnetic wave, and in the case of ultrarelativistic initial electrons, the differential probability of the resonant trident pair production process with simultaneous registration of the outgoing angles of the final particles can significantly (by several orders of magnitude) exceed the total probability of the electromagnetic field-stimulated Compton effect. |
| format | Article |
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| language | English |
| publishDate | 2025-03-01 |
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| spelling | doaj-art-b48762ea0a5b44d4b6b11e88c6bb96a82025-08-20T02:18:04ZengMDPI AGPhotonics2304-67322025-03-0112430710.3390/photonics12040307Quantum Entanglement of the Final Particles in the Resonant Trident Pair Production Process in a Strong Electromagnetic WaveSergei P. Roshchupkin0Mikhail V. Shakhov1Institute of Physics and Mechanics, Peter the Great St. Petersburg Polytechnic University, Polytechnicheskaya 29, Saint Petersburg 195251, RussiaInstitute of Physics and Mechanics, Peter the Great St. Petersburg Polytechnic University, Polytechnicheskaya 29, Saint Petersburg 195251, RussiaThe resonant trident pair production process in the collision of ultrarelativistic electrons with a strong electromagnetic wave was theoretically studied. Under resonant conditions, the intermediate virtual gamma-quantum became real. As a result, the original resonant trident pair production process effectively split into two first-order processes by the fine structure constant: the electromagnetic field-stimulated Compton effect and the electromagnetic field-stimulated Breit–Wheeler process. The kinematics of the resonant trident pair production process were studied in detail. It was shown that there are two different cases for the energies and outgoing angles of the final particles (an electron and an electron–positron pair) in which their quantum entanglement is realized. In the first case, energies and outgoing angles of the final ultrarelativistic particles are uniquely determined by the parameters of the electromagnetic field-stimulated Compton effect (the outgoing angle of the final electron and the quantum parameter of the Compton effect). In the second case, energies and outgoing angles of the final particles are uniquely determined by the electromagnetic field-stimulated Breit–Wheeler process (the electron–positron pair outgoing angle and the Breit–Wheeler quantum parameter). It was shown that in a sufficiently wide range of frequencies and intensities of a strong electromagnetic wave, and in the case of ultrarelativistic initial electrons, the differential probability of the resonant trident pair production process with simultaneous registration of the outgoing angles of the final particles can significantly (by several orders of magnitude) exceed the total probability of the electromagnetic field-stimulated Compton effect.https://www.mdpi.com/2304-6732/12/4/307ultrarelativistic electrons and positronsoleinik resonancesstrong electromagnetic fieldthe compton effect stimulated by an external fieldthe Breit–Wheeler process stimulated by an external field |
| spellingShingle | Sergei P. Roshchupkin Mikhail V. Shakhov Quantum Entanglement of the Final Particles in the Resonant Trident Pair Production Process in a Strong Electromagnetic Wave Photonics ultrarelativistic electrons and positrons oleinik resonances strong electromagnetic field the compton effect stimulated by an external field the Breit–Wheeler process stimulated by an external field |
| title | Quantum Entanglement of the Final Particles in the Resonant Trident Pair Production Process in a Strong Electromagnetic Wave |
| title_full | Quantum Entanglement of the Final Particles in the Resonant Trident Pair Production Process in a Strong Electromagnetic Wave |
| title_fullStr | Quantum Entanglement of the Final Particles in the Resonant Trident Pair Production Process in a Strong Electromagnetic Wave |
| title_full_unstemmed | Quantum Entanglement of the Final Particles in the Resonant Trident Pair Production Process in a Strong Electromagnetic Wave |
| title_short | Quantum Entanglement of the Final Particles in the Resonant Trident Pair Production Process in a Strong Electromagnetic Wave |
| title_sort | quantum entanglement of the final particles in the resonant trident pair production process in a strong electromagnetic wave |
| topic | ultrarelativistic electrons and positrons oleinik resonances strong electromagnetic field the compton effect stimulated by an external field the Breit–Wheeler process stimulated by an external field |
| url | https://www.mdpi.com/2304-6732/12/4/307 |
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