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This research proposes using circular Rydberg electron orbits to create tunable, toroidal lattice potentials for ultracold atoms, leveraging long-range electron-atom interactions rather than conventional optical lattices. The study demonstrates how this unique setup enables ballistic tunneling in two-atom correlations while maintaining free rotation for single particles, offering a novel pathway to simulate microscopic Bose and Fermi gases. By coupling the lattice phase intrinsically to atom position via standing electronic matter waves, the work advances the frontier of quantum simulation and controlled many-body physics.
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Electron lattice potentials for ultracold atoms using circular Rydberg orbitals

arXiv2 min read

arXiv:2609.31267v1 Announce Type: cross Abstract: Recent advances in experiments using individually trapped atoms have enabled precise control over circular Rydberg electrons with exceptionally long lifetimes. We show that these giant and stable electron orbits can form toroidal lattice potentials for ultracold atoms with a period set by the electron's de Broglie wavelength. Unlike conventional static optical lattices, this electron lattice is formed via the electron-atom interaction, which mixes Rydberg circular states with opposite azimuthal phase winding into a standing electronic matter wave. The lattice phase is thereby intrinsically coupled to the atom position. For a pair of atoms, this results in ballistic tunneling motion in the two-atom spatial correlations along the ring, while the single particle dynamics is essentially free rotation. We simulate the dynamics for an experimentally realistic setting that exploits optical tweezers for individual atom control. Our results open a route toward incorporating long range atom-atom interactions mediated by a single electron and, ultimately, realizing small Bose and Fermi gases confined in these microscopic electronic atom traps.

Abstract:Recent advances in experiments using individually trapped atoms have enabled precise control over circular Rydberg electrons with exceptionally long lifetimes. We show that these giant and stable electron orbits can form toroidal lattice potentials for ultracold atoms with a period set by the electron's de Broglie wavelength. Unlike conventional static optical lattices, this electron lattice is formed via the electron-atom interaction, which mixes Rydberg circular states with opposite azimuthal phase winding into a standing electronic matter wave. The lattice phase is thereby intrinsically coupled to the atom position. For a pair of atoms, this results in ballistic tunneling motion in the two-atom spatial correlations along the ring, while the single particle dynamics is essentially free rotation. We simulate the dynamics for an experimentally realistic setting that exploits optical tweezers for individual atom control. Our results open a route toward incorporating long range atom-atom interactions mediated by a single electron and, ultimately, realizing small Bose and Fermi gases confined in these microscopic electronic atom traps.

Quantum Gases (cond-mat.quant-gas); Atomic Physics (physics.atom-ph); Quantum Physics (quant-ph)

arXiv:2609.31267 [cond-mat.quant-gas]

(or arXiv:2609.31267v1 [cond-mat.quant-gas] for this version)

https://doi.org/10.48550/arXiv.2609.31267 Focus to learn more arXiv-issued DOI via DataCite (pending registration)

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Full text under the publisher's open licence · 264 words

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