Floquet operator engineering for quantum state stroboscopic stabilization
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.
Cite
@article{arxiv.2307.15476,
title = {Floquet operator engineering for quantum state stroboscopic stabilization},
author = {Floriane Arrouas and Lucas Gabardos and Nicolas Ombredane and Etienne Dionis and Nathan Dupont and Juliette Billy and Bruno Peaudecerf and Dominique Sugny and David Guéry Odelin},
journal= {arXiv preprint arXiv:2307.15476},
year = {2023}
}
Comments
(10 pages, 3 figures)