Geometric Qubits in Programmable Atomic Trimers

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.

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

arXiv:2607.16846 [quant-ph]

(or arXiv:2607.16846v1 [quant-ph] for this version)

https://doi.org/10.48550/arXiv.2607.16846 Focus to learn more arXiv-issued DOI via DataCite (pending registration)

Kendall-shape-space-orbit.avi

Kendall-shape-space-orbit.mp4

Wavefunction-evolution.avi

Wavefunction-evolution.mp4

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