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Pré-Publication, Document De Travail Année : 2023

Floquet operator engineering for quantum state stroboscopic stabilization

Nicolas Ombredane
  • Fonction : Auteur
  • PersonId : 1392155
Nathan Dupont
  • Fonction : Auteur
  • PersonId : 1264004
  • IdRef : 270638768
Juliette Billy
Bruno Peaudecerf

Résumé

Optimal control is a valuable tool for quantum simulation, allowing for the optimized preparation, manipulation, and measurement of quantum states. Through the optimization of a time-dependent control parameter, target states can be prepared to initialize or engineer specific quantum dynamics. In this work, we focus on the tailoring of a unitary evolution leading to the stroboscopic stabilization of quantum states of a Bose-Einstein condensate in an optical lattice. We show how, for states with space and time symmetries, such an evolution can be derived from the initial state-preparation controls; while for a general target state we make use of quantum optimal control to directly generate a stabilizing Floquet operator. Numerical optimizations highlight the existence of a quantum speed limit for this stabilization process, and our experimental results demonstrate the efficient stabilization of a broad range of quantum states in the lattice.
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Dates et versions

hal-04304425 , version 1 (24-11-2023)
hal-04304425 , version 2 (06-02-2024)

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Floriane Arrouas, Lucas Gabardos, Nicolas Ombredane, Etienne Dionis, Nathan Dupont, et al.. Floquet operator engineering for quantum state stroboscopic stabilization. 2023. ⟨hal-04304425v1⟩
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