Abelian and non-Abelian gauge fields in dipole-dipole interacting Rydberg atoms

Abstract

We show that the dipole-dipole interaction between two Rydberg atoms can lead to substantial Abelian and non-Abelian gauge fields acting on the relative motion of the two atoms. We demonstrate how the gauge fields can be evaluated by numerical techniques. In the case of adiabatic motion in a single internal state, we show that the gauge fields give rise to a magnetic field that results in a Zeeman splitting of the rotational states. In particular, the ground state of a molecular potential well is given by the first excited rotational state. We find that our system realises a synthetic spin-orbit coupling where the relative atomic motion couples to two internal two-atom states. The associated gauge fields are non-Abelian.

11 pages, 6 figures, contribution to the Journal of Physics B special issue on non-Abelian gauge fields

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Cited by in corpus (10)

• Tunable Landau-Zener transitions in a spin-orbit coupled Bose-Einstein condensate
• Three-body bound states in dipole-dipole interacting Rydberg atoms
• Rydberg Aggregates
• Topological Condensate in an Interaction Induced Gauge Potential
• Van-der-Waals stabilized Rydberg aggregates
• Excitonic giant-dipole potentials in cuprous oxide
• Few-Body Bound States of Dipole-Dipole Interacting Rydberg Atoms
• Artificial abelian gauge potentials induced by dipole-dipole interactions between Rydberg atoms
• Topological spin models in Rydberg lattices
• Spatial imaging of the movement of bound atoms to reveal the Rydberg molecular bond via electromagnetically induced transparency