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From [1] we know that a Rydberg electron can form a molecular type of orbital with a ground state atom nearby. Extended to include several atoms polyatomic Rydberg molecules in many facets [2], including scarring of Rydberg electron densities by classical periodic orbits in a dense (random) gas of atoms [3], we ask here what happens if we increase the number of (ground state) atoms in the volume of the Rydberg atom to infinity. We do this in two ways, (i) by keeping the Rydberg excitation fixed increasing the atom density [4], and (ii) by increasing the Rydberg excitation in parallel with the number of atoms producing a thermodynamic limit for a single (Rydberg) atom. The results will be presented and their implications for the quantum-classical correspondence discussed.
[1] Greene, C. H., Dickinson, A. S. & Sadeghpour, H. R., PRL 85, 2458 (2000).
[2] Eiles, M., Pérez-Ríos J., Robicheaux F. & Greene C. H. J. Phys. B 49, 114005 (2016).
[3] Luukko, P. J. J. & Rost, J. M., PRL 119, 203001 (2017).
[4] Hunter, A. L., Eiles, M. T., Eisfeld, A. & Rost, J. M., PRX 10, 031046 (2020).