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Journal Article

Ring Rydberg composites

MPS-Authors
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Eiles,  Matthew T.
Max Planck Institute for the Physics of Complex Systems, Max Planck Society;

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Hunter,  Andrew L.
Max Planck Institute for the Physics of Complex Systems, Max Planck Society;

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Rost,  Jan M.
Max Planck Institute for the Physics of Complex Systems, Max Planck Society;

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1909.04516.pdf
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Citation

Eiles, M. T., Hunter, A. L., & Rost, J. M. (2020). Ring Rydberg composites. Journal of Physics B, 53(5): 054001. doi:10.1088/1361-6455/ab5f77.


Cite as: https://hdl.handle.net/21.11116/0000-0006-4963-9
Abstract
The properties and behavior of a Ring Rydberg Composite are explicated. This system consists of a ring of ground state atoms centered on a Rydberg atom, whose electron elastically scatters off the ground state atoms. We transform the electronic Hamiltonian into a discrete tight-binding representation in which the on-site energies and long-range hopping between sites are controlled and mediated by the Rydberg electron. From this new representation, which to a large extent enables an analytic treatment, we derive scaling laws and analytic expressions for the wave functions and eigenspectrum. The interface between ring and Rydberg geometries leads to a range of rich properties which can be tuned as a function of ring size, number of scatterers, and principal quantum number.