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PreprintarXiv licencearXiv

Observation of s-p Coupling in Ultralong-Range Rydberg Molecules

Abstract

Ultralong-range Rydberg molecules, formed by the interaction between a highly excited Rydberg atom and a ground-state atom, provide a unique platform for exploring quantum phenomena spanning nanometer- to micrometer distances as well as exotic few-body interactions. The molecular binding arises from electron-atom scattering, which is conventionally described by an independent s- and p-wave channels picture. Here we report the experimental observation of s-p coupling in Rb(nS)-Rb(5S) ultralong-range Rydberg molecules via high-resolution photoassociation spectroscopy. By varying the principal quantum number n from 31 to 36, we resolve an avoided crossing between the s- and p-wave molecular states: whenever a vibrational level bound by the p-wave well approaches one bound by the s-wave well in energy, the two states are mixed by the off-diagonal coupling U_sp, and the shifted s-wave level is identified, which is consistent with theoretical predictions. This mixing is most pronounced for low-node p-wave molecules, whose binding energies lie closer to those of the s-wave molecules. The resulting level repulsion and redistribution of spectral intensity reveal the mixed s-p character of ultralong-range Rydberg molecules and provide a more precise molecular spectroscopy.

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BibTeX
@misc{li2026observation,
  title = {{Observation of s-p Coupling in Ultralong-Range Rydberg Molecules}},
  author = {Qing Li and Shi-Yao Shao and Jun Zhang and Han-Chao Chen and Li-Hua Zhang and Bang Liu and Guang-Can Guo and Dong-Sheng Ding and Bao-Sen Shi},
  howpublished = {arXiv},
  year = {2026},
  month = nov,
  doi = {10.48550/arxiv.2608.09950},
  eprint = {2608.09950},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2608.09950},
}
RIS
TY  - UNPB
TI  - Observation of s-p Coupling in Ultralong-Range Rydberg Molecules
AU  - Qing Li
AU  - Shi-Yao Shao
AU  - Jun Zhang
AU  - Han-Chao Chen
AU  - Li-Hua Zhang
AU  - Bang Liu
AU  - Guang-Can Guo
AU  - Dong-Sheng Ding
AU  - Bao-Sen Shi
PY  - 2026
DA  - 2026/11/03
PB  - arXiv
DO  - 10.48550/arxiv.2608.09950
UR  - https://arxiv.org/abs/2608.09950
AB  - Ultralong-range Rydberg molecules, formed by the interaction between a highly excited Rydberg atom and a ground-state atom, provide a unique platform for exploring quantum phenomena spanning nanometer- to micrometer distances as well as exotic few-body interactions. The molecular binding arises from electron-atom scattering, which is conventionally described by an independent s- and p-wave channels picture. Here we report the experimental observation of s-p coupling in Rb(nS)-Rb(5S) ultralong-range Rydberg molecules via high-resolution photoassociation spectroscopy. By varying the principal quantum number n from 31 to 36, we resolve an avoided crossing between the s- and p-wave molecular states: whenever a vibrational level bound by the p-wave well approaches one bound by the s-wave well in energy, the two states are mixed by the off-diagonal coupling U_sp, and the shifted s-wave level is identified, which is consistent with theoretical predictions. This mixing is most pronounced for low-node p-wave molecules, whose binding energies lie closer to those of the s-wave molecules. The resulting level repulsion and redistribution of spectral intensity reveal the mixed s-p character of ultralong-range Rydberg molecules and provide a more precise molecular spectroscopy.
ER  -