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We examine topological phases and symmetry-protected electronic edge states in the context of a Rydberg composite: a Rydberg atom interfaced with a structured arrangement of ground-state atoms. We show that the spectrum of the electronic Hamiltonian of such a composite possesses a mapping to that of a tight-binding Hamiltonian, which can exhibit nontrivial topology depending on the arrangement of the ground-state atoms and the principal quantum number of the Rydberg state. The Rydberg electron moves in a combined potential including the long-ranged Coulomb interaction with the Rydberg core and short-ranged interactions with each neutral atom; the effective hopping amplitudes between sites are determined by this combination. We first confirm the existence of topologically-protected edge states in a Rydberg composite by mapping it to the paradigmatic Su-Schrieffer-Heeger dimer model. Following that, we show that more complicated systems with trimer unit cells can be studied in a Rydberg composite. Published by the American Physical Society 2024
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Matthew T. Eiles
Christopher W. Wächtler
Alexander Eisfeld
Physical review. B./Physical review. B
University of California, Berkeley
University of Potsdam
Max Planck Institute for the Physics of Complex Systems
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Eiles et al. (Tue,) studied this question.
www.synapsesocial.com/papers/68e785c8b6db6435876f8dc5 — DOI: https://doi.org/10.1103/physrevb.109.075422