Parametric resonance in the ultracold Rydberg plasma under the influence of an acoustic wave
The article considers weakly ionized ultracold Rydberg plasma under the influence of an acoustic wave of the terahertz range. The effect of an acoustic wave on Langmuir oscillations of Rydberg plasma is described using a hydrodynamic approach. The mechanism of the influence of an acoustic wave on L...
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Subbotin Institute of Geophysics of the National Academy of Sciences of Ukraine
2020-12-01
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| Series: | Геофизический журнал |
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| Online Access: | https://journals.uran.ua/geofizicheskiy/article/view/222306 |
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| author | V.M. Rylyuk L.M. Kuzmina M.I. Skipa |
| author_facet | V.M. Rylyuk L.M. Kuzmina M.I. Skipa |
| author_sort | V.M. Rylyuk |
| collection | DOAJ |
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The article considers weakly ionized ultracold Rydberg plasma under the influence of an acoustic wave of the terahertz range. The effect of an acoustic wave on Langmuir oscillations of Rydberg plasma is described using a hydrodynamic approach. The mechanism of the influence of an acoustic wave on Langmuir oscillations in such plasma, which consists in the scattering of electrons by neutral atoms oscillating in a high-frequency acoustic field, is considered. The unitary Kramers—Henneberger transformation in the Schrцdinger equation is used to calculate the cross section for the scattering of electrons by atoms performing high-frequency oscillations in the field of a terahertz acoustic wave. On this basis, a deep analogy is shown between the problem of scattering of an electron in the field of an external electromagnetic wave by a stationary atom and the problem of scattering of an electron by an atom vibrating in an external acoustic field. Numerical calculations demonstrate the oscillatory character of the cross section for the scattering of an electron by a Rydberg atom vibrating in a high-frequency acoustic field. Within the framework of the chosen hydrodynamic model, in view of the time dependence of the cross section for scattering of electrons by plasma atoms, the change in the electron density in such a system is described by the Mathieu equation, well known in mathematical physics. On the basis of this equation, the fundamental possibility of the appearance of parametric resonance, in the form of the buildup of Langmuir oscillations, in such a system is shown theoretically. The conditions for the appearance of resonance in Rydberg plasma initiated by a high-frequency acoustic wave are indicated.
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| format | Article |
| id | doaj-art-3cef53f33cbb4dbc9b629bd1c1dea2fd |
| institution | Matheson Library |
| issn | 0203-3100 2524-1052 |
| language | English |
| publishDate | 2020-12-01 |
| publisher | Subbotin Institute of Geophysics of the National Academy of Sciences of Ukraine |
| record_format | Article |
| series | Геофизический журнал |
| spelling | doaj-art-3cef53f33cbb4dbc9b629bd1c1dea2fd2025-06-27T10:11:32ZengSubbotin Institute of Geophysics of the National Academy of Sciences of UkraineГеофизический журнал0203-31002524-10522020-12-0142610.24028/gzh.0203-3100.v42i6.2020.222306Parametric resonance in the ultracold Rydberg plasma under the influence of an acoustic waveV.M. Rylyuk0L.M. Kuzmina1M.I. Skipa2Department of hydroacoustics of the Subbotin Institute of Geophysics of the National Academy of Science of UkraineDepartment of hydroacoustics of the Subbotin Institute of Geophysics of the National Academy of Science of UkraineDepartment of hydroacoustics of the Subbotin Institute of Geophysics of the National Academy of Science of Ukraine The article considers weakly ionized ultracold Rydberg plasma under the influence of an acoustic wave of the terahertz range. The effect of an acoustic wave on Langmuir oscillations of Rydberg plasma is described using a hydrodynamic approach. The mechanism of the influence of an acoustic wave on Langmuir oscillations in such plasma, which consists in the scattering of electrons by neutral atoms oscillating in a high-frequency acoustic field, is considered. The unitary Kramers—Henneberger transformation in the Schrцdinger equation is used to calculate the cross section for the scattering of electrons by atoms performing high-frequency oscillations in the field of a terahertz acoustic wave. On this basis, a deep analogy is shown between the problem of scattering of an electron in the field of an external electromagnetic wave by a stationary atom and the problem of scattering of an electron by an atom vibrating in an external acoustic field. Numerical calculations demonstrate the oscillatory character of the cross section for the scattering of an electron by a Rydberg atom vibrating in a high-frequency acoustic field. Within the framework of the chosen hydrodynamic model, in view of the time dependence of the cross section for scattering of electrons by plasma atoms, the change in the electron density in such a system is described by the Mathieu equation, well known in mathematical physics. On the basis of this equation, the fundamental possibility of the appearance of parametric resonance, in the form of the buildup of Langmuir oscillations, in such a system is shown theoretically. The conditions for the appearance of resonance in Rydberg plasma initiated by a high-frequency acoustic wave are indicated. https://journals.uran.ua/geofizicheskiy/article/view/222306rydberg plasmascatteringparametric resonanceacoustic wave |
| spellingShingle | V.M. Rylyuk L.M. Kuzmina M.I. Skipa Parametric resonance in the ultracold Rydberg plasma under the influence of an acoustic wave Геофизический журнал rydberg plasma scattering parametric resonance acoustic wave |
| title | Parametric resonance in the ultracold Rydberg plasma under the influence of an acoustic wave |
| title_full | Parametric resonance in the ultracold Rydberg plasma under the influence of an acoustic wave |
| title_fullStr | Parametric resonance in the ultracold Rydberg plasma under the influence of an acoustic wave |
| title_full_unstemmed | Parametric resonance in the ultracold Rydberg plasma under the influence of an acoustic wave |
| title_short | Parametric resonance in the ultracold Rydberg plasma under the influence of an acoustic wave |
| title_sort | parametric resonance in the ultracold rydberg plasma under the influence of an acoustic wave |
| topic | rydberg plasma scattering parametric resonance acoustic wave |
| url | https://journals.uran.ua/geofizicheskiy/article/view/222306 |
| work_keys_str_mv | AT vmrylyuk parametricresonanceintheultracoldrydbergplasmaundertheinfluenceofanacousticwave AT lmkuzmina parametricresonanceintheultracoldrydbergplasmaundertheinfluenceofanacousticwave AT miskipa parametricresonanceintheultracoldrydbergplasmaundertheinfluenceofanacousticwave |