Floquet Interpretation of Avoided Crossings in AC Stark-Shifted Rydberg-EIT Spectra
Abstract
We present a combined experimental and Floquet-theoretical study of avoided crossings in the AC Stark-shifted electromagnetically induced transparency (EIT) spectra of Rydberg atoms. Observed avoided-crossing structures cannot be fully explained by conventional AC Stark maps alone, which provide the energy shifts but do not reveal the underlying state composition and coupling pathways. Using the Shirley method, we analyze the Floquet eigenstates to establish a direct connection between the measured spectra and the underlying dressed-state dynamics. By tracking the evolution of state mixing, bare-state composition, and dominant higher-order Floquet coupling pathways, we reveal the physical mechanisms responsible for the formation of avoided crossings across different principal quantum numbers and RF frequencies. Our results demonstrate that Floquet-eigenstate analysis provides a powerful framework for interpreting complex AC Stark-shifted Rydberg-EIT spectra and the underlying higher-order Floquet coupling interactions.
Related
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BibTeX
@misc{talashila2026floquet,
title = {{Floquet Interpretation of Avoided Crossings in AC Stark-Shifted Rydberg-EIT Spectra}},
author = {Rajavardhan Talashila and Nikunjkumar Prajapati and Noah Schlossberger and Christopher L. Holloway},
howpublished = {arXiv},
year = {2026},
month = sep,
doi = {10.48550/arxiv.2609.06062},
eprint = {2609.06062},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2609.06062},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - Floquet Interpretation of Avoided Crossings in AC Stark-Shifted Rydberg-EIT Spectra
AU - Rajavardhan Talashila
AU - Nikunjkumar Prajapati
AU - Noah Schlossberger
AU - Christopher L. Holloway
PY - 2026
DA - 2026/09/05
PB - arXiv
DO - 10.48550/arxiv.2609.06062
UR - https://arxiv.org/abs/2609.06062
AB - We present a combined experimental and Floquet-theoretical study of avoided crossings in the AC Stark-shifted electromagnetically induced transparency (EIT) spectra of Rydberg atoms. Observed avoided-crossing structures cannot be fully explained by conventional AC Stark maps alone, which provide the energy shifts but do not reveal the underlying state composition and coupling pathways. Using the Shirley method, we analyze the Floquet eigenstates to establish a direct connection between the measured spectra and the underlying dressed-state dynamics. By tracking the evolution of state mixing, bare-state composition, and dominant higher-order Floquet coupling pathways, we reveal the physical mechanisms responsible for the formation of avoided crossings across different principal quantum numbers and RF frequencies. Our results demonstrate that Floquet-eigenstate analysis provides a powerful framework for interpreting complex AC Stark-shifted Rydberg-EIT spectra and the underlying higher-order Floquet coupling interactions.
ER -