Direct tests of conformal symmetry with Rydberg atoms: assessment and proposals
Abstract
We propose a direct test of conformal symmetry using Rydberg-atom arrays. By arranging the atoms on a circle and measuring equal-time two-point correlation functions, the characteristic functional form predicted by conformal field theory can be tested directly. We estimate the number of experimental snapshots required to resolve this behavior with sufficient statistical precision. We further optimize the time-dependent ramp profile of the Rabi frequency~Ω and detuning~Δ used to prepare the target critical state adiabatically. The optimized profile achieves higher fidelity over much shorter evolution times than those employed in previous experiments. Taken together, these results suggest that a direct experimental test of conformal symmetry is feasible with current Rydberg-atom technology.
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BibTeX
@misc{rong2026direct,
title = {{Direct tests of conformal symmetry with Rydberg atoms: assessment and proposals}},
author = {Junchen Rong and Slava Rychkov},
howpublished = {arXiv},
year = {2026},
month = oct,
doi = {10.48550/arxiv.2610.33156},
eprint = {2610.33156},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2610.33156},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - Direct tests of conformal symmetry with Rydberg atoms: assessment and proposals
AU - Junchen Rong
AU - Slava Rychkov
PY - 2026
DA - 2026/10/23
PB - arXiv
DO - 10.48550/arxiv.2610.33156
UR - https://arxiv.org/abs/2610.33156
AB - We propose a direct test of conformal symmetry using Rydberg-atom arrays. By arranging the atoms on a circle and measuring equal-time two-point correlation functions, the characteristic functional form predicted by conformal field theory can be tested directly. We estimate the number of experimental snapshots required to resolve this behavior with sufficient statistical precision. We further optimize the time-dependent ramp profile of the Rabi frequency~Ω and detuning~Δ used to prepare the target critical state adiabatically. The optimized profile achieves higher fidelity over much shorter evolution times than those employed in previous experiments. Taken together, these results suggest that a direct experimental test of conformal symmetry is feasible with current Rydberg-atom technology.
ER -