Geometric Qubits in Programmable Atomic Trimers

Julien Garaud; Antti J. Niemi

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arXiv · 2607.16846

Geometric Qubits in Programmable Atomic Trimers

Julien Garaud·Antti J. Niemi

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Abstract

Motivated by programmable tweezer arrays, we develop an exactly solvable shape-space theory for near-equilateral atomic trimers. The Higgs oscillator on Kendall's shape sphere gives a nonresonant spectral lattice whose fixed-angular-momentum relative-stationary minimizers are supported on two adjacent admissible sites. These symmetry-selected doublets are separated from higher relative-stationary branches by a finite branch gap. With phase-coherent shape-mode driving and Rydberg-mediated conditional phases, they furnish a candidate route to geometric qubits and entangling operations.

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BibTeX RIS

Julien Garaud, Antti J. Niemi. 2026-07-18. Geometric Qubits in Programmable Atomic Trimers. https://arxiv.org/abs/2607.16846

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