Floquet operator engineering for quantum state stroboscopic stabilization

• URL: http://arxiv.org/abs/2307.15476v1
• Date: Fri, 28 Jul 2023 11:02:50 GMT
• Title: Floquet operator engineering for quantum state stroboscopic stabilization
• Authors: Floriane Arrouas, Lucas Gabardos, Nicolas Ombredane, Etienne Dionis, Nathan Dupont, Juliette Billy, Bruno Peaudecerf, Dominique Sugny and David Gu\'ery Odelin
• Abstract summary: This work focuses 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. 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.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• 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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