[Ingénierie d’opérateur de Floquet pour la stabilisation stroboscopique d’état quantique]
Le contrôle optimal est un outil précieux pour la simulation quantique, qui permet la préparation, la manipulation et la mesure optimisée d’états quantiques. Par la variation optimale d’un paramètre de contrôle dépendant du temps, des états cibles peuvent être préparés pour initialiser ou façonner des dynamiques quantiques spécifiques. Dans ce travail, nous nous concentrons sur le façonnage d’une évolution unitaire menant à la stabilisation stroboscopique d’états quantiques d’un condensat de Bose–Einstein dans un réseau optique. Nous montrons comment une telle évolution peut être dérivée de contrôles préparant l’état, pour des états avec des symétries d’espace et de temps, puis nous nous consacrons à l’optimisation directe d’un opérateur de Floquet stabilisant un état cible. Les optimisations de contrôle numériques mettent en évidence l’existence d’une vitesse quantique limite pour ce processus de stabilisation, et nos résultats expérimentaux montrent la stabilisation efficace d’une large gamme d’états quantiques dans le réseau.
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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Mot clés : Contrôle optimal quantique, Atomes ultrafroids dans un réseau optique, Condensats de Bose–Einstein, Stabilisation stroboscopique
Floriane Arrouas 1 ; Nicolas Ombredane 1 ; Lucas Gabardos 1 ; Etienne Dionis 2 ; Nathan Dupont 1 ; Juliette Billy 1 ; Bruno Peaudecerf 1 ; Dominique Sugny 2 ; David Guéry-Odelin 1
CC-BY 4.0
@article{CRPHYS_2023__24_S3_173_0,
author = {Floriane Arrouas and Nicolas Ombredane and Lucas Gabardos and Etienne Dionis and Nathan Dupont and Juliette Billy and Bruno Peaudecerf and Dominique Sugny and David Gu\'ery-Odelin},
title = {Floquet operator engineering for quantum state stroboscopic stabilization},
journal = {Comptes Rendus. Physique},
pages = {173--185},
publisher = {Acad\'emie des sciences, Paris},
volume = {24},
number = {S3},
year = {2023},
doi = {10.5802/crphys.167},
language = {en},
}
TY - JOUR AU - Floriane Arrouas AU - Nicolas Ombredane AU - Lucas Gabardos AU - Etienne Dionis AU - Nathan Dupont AU - Juliette Billy AU - Bruno Peaudecerf AU - Dominique Sugny AU - David Guéry-Odelin TI - Floquet operator engineering for quantum state stroboscopic stabilization JO - Comptes Rendus. Physique PY - 2023 SP - 173 EP - 185 VL - 24 IS - S3 PB - Académie des sciences, Paris DO - 10.5802/crphys.167 LA - en ID - CRPHYS_2023__24_S3_173_0 ER -
%0 Journal Article %A Floriane Arrouas %A Nicolas Ombredane %A Lucas Gabardos %A Etienne Dionis %A Nathan Dupont %A Juliette Billy %A Bruno Peaudecerf %A Dominique Sugny %A David Guéry-Odelin %T Floquet operator engineering for quantum state stroboscopic stabilization %J Comptes Rendus. Physique %D 2023 %P 173-185 %V 24 %N S3 %I Académie des sciences, Paris %R 10.5802/crphys.167 %G en %F CRPHYS_2023__24_S3_173_0
Floriane Arrouas; Nicolas Ombredane; Lucas Gabardos; Etienne Dionis; Nathan Dupont; Juliette Billy; Bruno Peaudecerf; Dominique Sugny; David Guéry-Odelin. Floquet operator engineering for quantum state stroboscopic stabilization. Comptes Rendus. Physique, Volume 24 (2023) no. S3, pp. 173-185. doi : 10.5802/crphys.167. https://comptes-rendus.academie-sciences.fr/physique/articles/10.5802/crphys.167/
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