Kato's theorem and ultralong-range Rydberg molecules
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arXiv
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| Format: | Preprint |
| Published: |
2023
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| _version_ | 1866914710260023296 |
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| author | Eiles, Matthew T. Hummel, Frederic |
| author_facet | Eiles, Matthew T. Hummel, Frederic |
| contents | We consider non-adiabatic coupling in the "trilobite"-like long-range Rydberg molecules created by perturbing degenerate high-$\ell$ Rydberg states with a ground-state atom. Due to the flexibility granted by the high Rydberg level density, the avoided crossings between relevant potential energy curves can become extremely narrow, leading to highly singular non-adiabatic coupling. We find that the gap between the trilobite potential curve and neighboring "butterfly" or "dragonfly" potential curves can even vanish, as in a conical intersection, if the gap closes at an internuclear distance which matches a node of the $s$-wave radial wave function. This is an unanticipated outcome of Kato's theorem. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2310_14686 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Kato's theorem and ultralong-range Rydberg molecules Eiles, Matthew T. Hummel, Frederic Atomic Physics We consider non-adiabatic coupling in the "trilobite"-like long-range Rydberg molecules created by perturbing degenerate high-$\ell$ Rydberg states with a ground-state atom. Due to the flexibility granted by the high Rydberg level density, the avoided crossings between relevant potential energy curves can become extremely narrow, leading to highly singular non-adiabatic coupling. We find that the gap between the trilobite potential curve and neighboring "butterfly" or "dragonfly" potential curves can even vanish, as in a conical intersection, if the gap closes at an internuclear distance which matches a node of the $s$-wave radial wave function. This is an unanticipated outcome of Kato's theorem. |
| title | Kato's theorem and ultralong-range Rydberg molecules |
| topic | Atomic Physics |
| url | https://arxiv.org/abs/2310.14686 |