Anderson localization of a Rydberg electron
- URL: http://arxiv.org/abs/2111.10345v2
- Date: Wed, 21 Jun 2023 20:42:51 GMT
- Title: Anderson localization of a Rydberg electron
- Authors: Matthew T. Eiles, Alexander Eisfeld, Jan M. Rost
- Abstract summary: Rydberg atoms inherit their level structure, symmetries, and scaling behavior from the hydrogen atom.
limit is reached by simultaneously increasing the number of ground state atoms and the level of excitation of the Rydberg atom.
- Score: 68.8204255655161
- License: http://creativecommons.org/licenses/by/4.0/
- Abstract: Highly excited Rydberg atoms inherit their level structure, symmetries, and
scaling behavior from the hydrogen atom. We demonstrate that these fundamental
properties enable a thermodynamic limit of a single Rydberg atom subjected to
interactions with nearby ground state atoms. The limit is reached by
simultaneously increasing the number of ground state atoms and the level of
excitation of the Rydberg atom, for which the Coulomb potential supplies
infinitely many and highly degenerate excited states. Our study reveals a
surprising connection to an archetypal concept of condensed matter physics,
Anderson localization, facilitated by a direct mapping between the Rydberg
atom's electronic spectrum and the spectrum of a tight-binding Hamiltonian. The
hopping amplitudes of this tight-binding system are determined by the
arrangement of ground state atoms and can range from oscillatory and
long-ranged to nearest-neighbor. In the latter we identify clear signatures of
the Anderson localization of the Rydberg electron.
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