Floquet operator engineering for quantum state stroboscopic stabilization

Floriane Arrouas; Lucas Gabardos; Nicolas Ombredane; Etienne Dionis; Nathan Dupont; Juliette Billy; Bruno Peaudecerf; Dominique Sugny; David Guéry Odelin

arXiv · 2307.15476

Floquet operator engineering for quantum state stroboscopic stabilization

Floriane Arrouas·Lucas Gabardos·Nicolas Ombredane·Etienne Dionis·Nathan Dupont·Juliette Billy·Bruno Peaudecerf·Dominique Sugny·David Guéry Odelin

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Abstract

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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Floriane Arrouas, Lucas Gabardos, Nicolas Ombredane, Etienne Dionis, Nathan Dupont, Juliette Billy, Bruno Peaudecerf, Dominique Sugny, David Guéry Odelin. 2023-07-28. Floquet operator engineering for quantum state stroboscopic stabilization. https://arxiv.org/abs/2307.15476

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