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| Main Authors: | , , , , |
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| Format: | Preprint |
| Published: |
2023
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2311.10409 |
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| _version_ | 1866909486443134976 |
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| author | Lu, Shan-Shan Zheng, Hong-Yuan Yan, Zong-Chao Babb, James F. Tang, Li-Yan |
| author_facet | Lu, Shan-Shan Zheng, Hong-Yuan Yan, Zong-Chao Babb, James F. Tang, Li-Yan |
| contents | The hyperpolarizability of an atom is a property that describes the nonlinear interaction between an atom and an external electric field leading to a higher-order Stark shift. Accurate evaluations of these coefficients for various systems are crucial to improve experimental precision in advanced atom-based clocks. However, there is a dearth of reports on atomic hyperpolarizabilities, particularly regarding relativistic hyperpolarizabilities. Thus, in this paper, we use fourth-order perturbation theory to establish a universal formula for the hyperpolarizability and calculate the relativistic hyperpolarizabilities of low-lying states for the monovalent electronic atomic systems H, Li, and Be$^+$. The highly accurate results given here for the H atom could serve as benchmarks for other theoretical methods. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2311_10409 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Relativistic hyperpolarizabilities for atomic H, Li, and Be$^+$ systems Lu, Shan-Shan Zheng, Hong-Yuan Yan, Zong-Chao Babb, James F. Tang, Li-Yan Atomic Physics The hyperpolarizability of an atom is a property that describes the nonlinear interaction between an atom and an external electric field leading to a higher-order Stark shift. Accurate evaluations of these coefficients for various systems are crucial to improve experimental precision in advanced atom-based clocks. However, there is a dearth of reports on atomic hyperpolarizabilities, particularly regarding relativistic hyperpolarizabilities. Thus, in this paper, we use fourth-order perturbation theory to establish a universal formula for the hyperpolarizability and calculate the relativistic hyperpolarizabilities of low-lying states for the monovalent electronic atomic systems H, Li, and Be$^+$. The highly accurate results given here for the H atom could serve as benchmarks for other theoretical methods. |
| title | Relativistic hyperpolarizabilities for atomic H, Li, and Be$^+$ systems |
| topic | Atomic Physics |
| url | https://arxiv.org/abs/2311.10409 |