Floquet operator engineering for quantum state stroboscopic stabilization
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 th...
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| Format: | Article |
| Language: | English |
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Académie des sciences
2024-02-01
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| Series: | Comptes Rendus. Physique |
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| Online Access: | https://comptes-rendus.academie-sciences.fr/physique/articles/10.5802/crphys.167/ |
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| author | Arrouas, Floriane Ombredane, Nicolas Gabardos, Lucas Dionis, Etienne Dupont, Nathan Billy, Juliette Peaudecerf, Bruno Sugny, Dominique Guéry-Odelin, David |
| author_facet | Arrouas, Floriane Ombredane, Nicolas Gabardos, Lucas Dionis, Etienne Dupont, Nathan Billy, Juliette Peaudecerf, Bruno Sugny, Dominique Guéry-Odelin, David |
| author_sort | Arrouas, Floriane |
| collection | DOAJ |
| description | 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. |
| format | Article |
| id | doaj-art-71afc7ab0f67430bb7996658fe4ee302 |
| institution | Kabale University |
| issn | 1878-1535 |
| language | English |
| publishDate | 2024-02-01 |
| publisher | Académie des sciences |
| record_format | Article |
| series | Comptes Rendus. Physique |
| spelling | doaj-art-71afc7ab0f67430bb7996658fe4ee3022025-02-07T13:53:11ZengAcadémie des sciencesComptes Rendus. Physique1878-15352024-02-0124S317318510.5802/crphys.16710.5802/crphys.167Floquet operator engineering for quantum state stroboscopic stabilizationArrouas, Floriane0Ombredane, Nicolas1Gabardos, Lucas2https://orcid.org/0000-0001-5420-0735Dionis, Etienne3Dupont, Nathan4https://orcid.org/0000-0002-8371-8071Billy, Juliette5Peaudecerf, Bruno6https://orcid.org/0000-0002-2221-2034Sugny, Dominique7https://orcid.org/0000-0002-1963-333XGuéry-Odelin, David8https://orcid.org/0000-0003-4869-1341Laboratoire Collisions Agrégats Réactivité, UMR 5589, FERMI, UT3, Université de Toulouse, CNRS, 118 Route de Narbonne, 31062 Toulouse CEDEX 09, FranceLaboratoire Collisions Agrégats Réactivité, UMR 5589, FERMI, UT3, Université de Toulouse, CNRS, 118 Route de Narbonne, 31062 Toulouse CEDEX 09, FranceLaboratoire Collisions Agrégats Réactivité, UMR 5589, FERMI, UT3, Université de Toulouse, CNRS, 118 Route de Narbonne, 31062 Toulouse CEDEX 09, FranceLaboratoire Interdisciplinaire Carnot de Bourgogne, UMR 6303, 9 Avenue A. Savary, BP 47 870, F-21078 Dijon Cedex, FranceLaboratoire Collisions Agrégats Réactivité, UMR 5589, FERMI, UT3, Université de Toulouse, CNRS, 118 Route de Narbonne, 31062 Toulouse CEDEX 09, FranceLaboratoire Collisions Agrégats Réactivité, UMR 5589, FERMI, UT3, Université de Toulouse, CNRS, 118 Route de Narbonne, 31062 Toulouse CEDEX 09, FranceLaboratoire Collisions Agrégats Réactivité, UMR 5589, FERMI, UT3, Université de Toulouse, CNRS, 118 Route de Narbonne, 31062 Toulouse CEDEX 09, FranceLaboratoire Interdisciplinaire Carnot de Bourgogne, UMR 6303, 9 Avenue A. Savary, BP 47 870, F-21078 Dijon Cedex, FranceLaboratoire Collisions Agrégats Réactivité, UMR 5589, FERMI, UT3, Université de Toulouse, CNRS, 118 Route de Narbonne, 31062 Toulouse CEDEX 09, FranceOptimal 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.https://comptes-rendus.academie-sciences.fr/physique/articles/10.5802/crphys.167/Quantum optimal controlUltracold atoms in optical latticesBose–Einstein condensatesStroboscopic stabilization |
| spellingShingle | Arrouas, Floriane Ombredane, Nicolas Gabardos, Lucas Dionis, Etienne Dupont, Nathan Billy, Juliette Peaudecerf, Bruno Sugny, Dominique Guéry-Odelin, David Floquet operator engineering for quantum state stroboscopic stabilization Comptes Rendus. Physique Quantum optimal control Ultracold atoms in optical lattices Bose–Einstein condensates Stroboscopic stabilization |
| title | Floquet operator engineering for quantum state stroboscopic stabilization |
| title_full | Floquet operator engineering for quantum state stroboscopic stabilization |
| title_fullStr | Floquet operator engineering for quantum state stroboscopic stabilization |
| title_full_unstemmed | Floquet operator engineering for quantum state stroboscopic stabilization |
| title_short | Floquet operator engineering for quantum state stroboscopic stabilization |
| title_sort | floquet operator engineering for quantum state stroboscopic stabilization |
| topic | Quantum optimal control Ultracold atoms in optical lattices Bose–Einstein condensates Stroboscopic stabilization |
| url | https://comptes-rendus.academie-sciences.fr/physique/articles/10.5802/crphys.167/ |
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