Quantum entanglement of a harmonic oscillator with an electromagnetic field
Abstract At present, there are many methods for obtaining quantum entanglement of particles with an electromagnetic field. Most methods have a low probability of quantum entanglement and not an exact theoretical apparatus based on an approximate solution of the Schrodinger equation. There is a need...
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Nature Portfolio
2018
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oai:doaj.org-article:25612ac9839745dd9f842510485958282021-12-02T11:41:15ZQuantum entanglement of a harmonic oscillator with an electromagnetic field10.1038/s41598-018-26650-82045-2322https://doaj.org/article/25612ac9839745dd9f842510485958282018-05-01T00:00:00Zhttps://doi.org/10.1038/s41598-018-26650-8https://doaj.org/toc/2045-2322Abstract At present, there are many methods for obtaining quantum entanglement of particles with an electromagnetic field. Most methods have a low probability of quantum entanglement and not an exact theoretical apparatus based on an approximate solution of the Schrodinger equation. There is a need for new methods for obtaining quantum-entangled particles and mathematically accurate studies of such methods. In this paper, a quantum harmonic oscillator (for example, an electron in a magnetic field) interacting with a quantized electromagnetic field is considered. Based on the exact solution of the Schrodinger equation for this system, it is shown that for certain parameters there can be a large quantum entanglement between the electron and the electromagnetic field. Quantum entanglement is analyzed on the basis of a mathematically exact expression for the Schmidt modes and the Von Neumann entropy.Dmitry N. MakarovNature PortfolioarticleMedicineRScienceQENScientific Reports, Vol 8, Iss 1, Pp 1-8 (2018) |
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DOAJ |
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DOAJ |
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Medicine R Science Q |
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Medicine R Science Q Dmitry N. Makarov Quantum entanglement of a harmonic oscillator with an electromagnetic field |
| description |
Abstract At present, there are many methods for obtaining quantum entanglement of particles with an electromagnetic field. Most methods have a low probability of quantum entanglement and not an exact theoretical apparatus based on an approximate solution of the Schrodinger equation. There is a need for new methods for obtaining quantum-entangled particles and mathematically accurate studies of such methods. In this paper, a quantum harmonic oscillator (for example, an electron in a magnetic field) interacting with a quantized electromagnetic field is considered. Based on the exact solution of the Schrodinger equation for this system, it is shown that for certain parameters there can be a large quantum entanglement between the electron and the electromagnetic field. Quantum entanglement is analyzed on the basis of a mathematically exact expression for the Schmidt modes and the Von Neumann entropy. |
| format |
article |
| author |
Dmitry N. Makarov |
| author_facet |
Dmitry N. Makarov |
| author_sort |
Dmitry N. Makarov |
| title |
Quantum entanglement of a harmonic oscillator with an electromagnetic field |
| title_short |
Quantum entanglement of a harmonic oscillator with an electromagnetic field |
| title_full |
Quantum entanglement of a harmonic oscillator with an electromagnetic field |
| title_fullStr |
Quantum entanglement of a harmonic oscillator with an electromagnetic field |
| title_full_unstemmed |
Quantum entanglement of a harmonic oscillator with an electromagnetic field |
| title_sort |
quantum entanglement of a harmonic oscillator with an electromagnetic field |
| publisher |
Nature Portfolio |
| publishDate |
2018 |
| url |
https://doaj.org/article/25612ac9839745dd9f84251048595828 |
| work_keys_str_mv |
AT dmitrynmakarov quantumentanglementofaharmonicoscillatorwithanelectromagneticfield |
| _version_ |
1718395388968304640 |