Bloch-sphere rotations in driven double-well for ultracold atoms

Michele Modugno; Marco Fattori; Giulio Pettini

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arXiv · 2607.04873

Bloch-sphere rotations in driven double-well for ultracold atoms

Michele Modugno·Marco Fattori·Giulio Pettini

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Abstract

We show that, by using suitable protocols for a non-interacting condensate in a driven double-well, one can achieve controlled rotations about arbitrary axes in the equatorial plane of the Bloch sphere, composed with fast rotations about the $z$-axis. Specifically, we investigate the dynamics induced by a spatially linear time-periodic potential, by means of numerical simulations. We also provide an explicit two-level model that accurately captures the microscopic evolution of the driven system, with the full time-dependent evolution operator obtained using a Floquet-based approach. The analysis is carried out using as a reference a recently realized experimental platform consisting of arrays of double-well potentials based on Beat-Note Superlattices, to which the proposed control scheme is directly applicable.

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Michele Modugno, Marco Fattori, Giulio Pettini. 2026-07-06. Bloch-sphere rotations in driven double-well for ultracold atoms. https://arxiv.org/abs/2607.04873

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