Circular Rydberg states of helium atoms or helium-like ions in a high-frequency laser field
In the literature, there were studies of Rydberg states of hydrogenic atoms/ions in a high-frequency laser field. It was shown that the motion of the Rydberg electron is analogous to the motion of a satellite around an oblate planet (for a linearly polarized laser field) or around a (fictitious) pro...
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De Gruyter
2021
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oai:doaj.org-article:9a52dae18dcb4cb081b6b93bba1e1c642021-12-05T14:11:01ZCircular Rydberg states of helium atoms or helium-like ions in a high-frequency laser field2391-547110.1515/phys-2021-0004https://doaj.org/article/9a52dae18dcb4cb081b6b93bba1e1c642021-02-01T00:00:00Zhttps://doi.org/10.1515/phys-2021-0004https://doaj.org/toc/2391-5471In the literature, there were studies of Rydberg states of hydrogenic atoms/ions in a high-frequency laser field. It was shown that the motion of the Rydberg electron is analogous to the motion of a satellite around an oblate planet (for a linearly polarized laser field) or around a (fictitious) prolate planet (for a circularly polarized laser field): it exhibits two kinds of precession – one of them is the precession within the orbital plane and another one is the precession of the orbital plane. In this study, we study a helium atom or a helium-like ion with one of the two electrons in a Rydberg state, the system being under a high-frequency laser field. For obtaining analytical results, we use the generalized method of the effective potentials. We find two primary effects of the high-frequency laser field on circular Rydberg states. The first effect is the precession of the orbital plane of the Rydberg electron. We calculate analytically the precession frequency and show that it differs from the case of a hydrogenic atom/ion. In the radiation spectrum, this precession would manifest as satellites separated from the spectral line at the Kepler frequency by multiples of the precession frequency. The second effect is a shift of the energy of the Rydberg electron, also calculated analytically. We find that the absolute value of the shift increases monotonically as the unperturbed binding energy of the Rydberg electron increases. We also find that the shift has a nonmonotonic dependence on the nuclear charge Z: as Z increases, the absolute value of the shift first increases, then reaches a maximum, and then decreases. The nonmonotonic dependence of the laser field-caused energy shift on the nuclear charge is a counterintuitive result.Kryukov NikolayOks EugeneDe Gruyterarticlecircular rydberg stateshelium atomshelium-like ionshigh-frequency laser fieldprecession of the orbital planeenergy shiftPhysicsQC1-999ENOpen Physics, Vol 19, Iss 1, Pp 11-17 (2021) |
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circular rydberg states helium atoms helium-like ions high-frequency laser field precession of the orbital plane energy shift Physics QC1-999 |
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circular rydberg states helium atoms helium-like ions high-frequency laser field precession of the orbital plane energy shift Physics QC1-999 Kryukov Nikolay Oks Eugene Circular Rydberg states of helium atoms or helium-like ions in a high-frequency laser field |
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In the literature, there were studies of Rydberg states of hydrogenic atoms/ions in a high-frequency laser field. It was shown that the motion of the Rydberg electron is analogous to the motion of a satellite around an oblate planet (for a linearly polarized laser field) or around a (fictitious) prolate planet (for a circularly polarized laser field): it exhibits two kinds of precession – one of them is the precession within the orbital plane and another one is the precession of the orbital plane. In this study, we study a helium atom or a helium-like ion with one of the two electrons in a Rydberg state, the system being under a high-frequency laser field. For obtaining analytical results, we use the generalized method of the effective potentials. We find two primary effects of the high-frequency laser field on circular Rydberg states. The first effect is the precession of the orbital plane of the Rydberg electron. We calculate analytically the precession frequency and show that it differs from the case of a hydrogenic atom/ion. In the radiation spectrum, this precession would manifest as satellites separated from the spectral line at the Kepler frequency by multiples of the precession frequency. The second effect is a shift of the energy of the Rydberg electron, also calculated analytically. We find that the absolute value of the shift increases monotonically as the unperturbed binding energy of the Rydberg electron increases. We also find that the shift has a nonmonotonic dependence on the nuclear charge Z: as Z increases, the absolute value of the shift first increases, then reaches a maximum, and then decreases. The nonmonotonic dependence of the laser field-caused energy shift on the nuclear charge is a counterintuitive result. |
format |
article |
author |
Kryukov Nikolay Oks Eugene |
author_facet |
Kryukov Nikolay Oks Eugene |
author_sort |
Kryukov Nikolay |
title |
Circular Rydberg states of helium atoms or helium-like ions in a high-frequency laser field |
title_short |
Circular Rydberg states of helium atoms or helium-like ions in a high-frequency laser field |
title_full |
Circular Rydberg states of helium atoms or helium-like ions in a high-frequency laser field |
title_fullStr |
Circular Rydberg states of helium atoms or helium-like ions in a high-frequency laser field |
title_full_unstemmed |
Circular Rydberg states of helium atoms or helium-like ions in a high-frequency laser field |
title_sort |
circular rydberg states of helium atoms or helium-like ions in a high-frequency laser field |
publisher |
De Gruyter |
publishDate |
2021 |
url |
https://doaj.org/article/9a52dae18dcb4cb081b6b93bba1e1c64 |
work_keys_str_mv |
AT kryukovnikolay circularrydbergstatesofheliumatomsorheliumlikeionsinahighfrequencylaserfield AT okseugene circularrydbergstatesofheliumatomsorheliumlikeionsinahighfrequencylaserfield |
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