Geometric Phase in Anisotropic Kepler Problem: Perspective for Realization in Rydberg Atoms

Nikolai A. Sinitsyn; Fumika Suzuki

doi:10.1103/1jxx-smg7

Geometric Phase in Anisotropic Kepler Problem: Perspective for Realization in Rydberg Atoms

Nikolai A. Sinitsyn ^1,* and Fumika Suzuki ^1,2,†

¹Theoretical Division, Los Alamos National Laboratory, Los Alamos, New Mexico 87545, USA
²Center for Nonlinear Studies, Los Alamos National Laboratory, Los Alamos, New Mexico 87545, USA

^*Contact author: nsinitsyn@lanl.gov
^†Contact author: fsuzuki@lanl.gov

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Phys. Rev. Lett. 135, 213201 – Published 17 November, 2025

DOI: https://doi.org/10.1103/1jxx-smg7

Abstract

We predict a gyroscopic effect that can be demonstrated with Rydberg atoms following the dynamics of a Kepler Hamiltonian with an additional uniaxial anisotropy induced by optical ponderomotive force. This effect is analogous to the rotation of the Foucault pendulum in response to the Earth’s rotation. We argue that in Rydberg states with a large principal quantum number a similar geometric angle can be generated by mechanical rotations of an atomic-optical setup on timescales between $1 μ s$ and 1 ms.

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Geometric Phase in Anisotropic Kepler Problem: Perspective for Realization in Rydberg Atoms

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Geometric Phase in Anisotropic Kepler Problem: Perspective for Realization in Rydberg Atoms

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