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PreprintCC BY 4.0arXiv

Multipole blackbody radiation shift in Rydberg atoms

Abstract

We study the role of retardation in the energy shift of Rydberg states induced by thermal radiation, focusing on the case of temperatures higher than those for which the electric-dipole approximation is expected to apply. As anticipated by Farley and Wing [Phys. Rev. A {\bf 23}, 2397 (1981)], retardation needs to be taken into account in calculations of this energy shift at and above the temperature α mc2/(3kB n2), where n is the principal quantum number of the state considered, m is the mass of the electron and kB is Boltzmann constant.The corresponding non-dipole shift dominates the electric-dipole shift at about 2.5 times that characteristic temperature. We also show that the electric-quadrupole thermal shift is of the same order of magnitude as the diamagnetic thermal shift and would thus need to be taken into account in the circumstances where the latter is relevant.

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BibTeX
@misc{potvliege2026multipole,
  title = {{Multipole blackbody radiation shift in Rydberg atoms}},
  author = {R. M. Potvliege},
  howpublished = {arXiv},
  year = {2026},
  month = sep,
  doi = {10.48550/arxiv.2605.16100},
  eprint = {2605.16100},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2605.16100},
  note = {CC BY 4.0},
}
RIS
TY  - UNPB
TI  - Multipole blackbody radiation shift in Rydberg atoms
AU  - R. M. Potvliege
PY  - 2026
DA  - 2026/09/15
PB  - arXiv
DO  - 10.48550/arxiv.2605.16100
UR  - https://arxiv.org/abs/2605.16100
AB  - We study the role of retardation in the energy shift of Rydberg states induced by thermal radiation, focusing on the case of temperatures higher than those for which the electric-dipole approximation is expected to apply. As anticipated by Farley and Wing [Phys. Rev. A {\bf 23}, 2397 (1981)], retardation needs to be taken into account in calculations of this energy shift at and above the temperature α mc^2/(3k_B n^2), where n is the principal quantum number of the state considered, m is the mass of the electron and k_B is Boltzmann constant.The corresponding non-dipole shift dominates the electric-dipole shift at about 2.5 times that characteristic temperature. We also show that the electric-quadrupole thermal shift is of the same order of magnitude as the diamagnetic thermal shift and would thus need to be taken into account in the circumstances where the latter is relevant.
ER  -