Optimal control of a Bose-Einstein condensate in an opticallattice: the non-linear and two-dimensional cases
We numerically study the optimal control of an atomic Bose-Einstein condensate in an optical lattice. We present two generalizations of the gradient-based algorithm, GRAPE, in the non-linear case and for a two-dimensional lattice. We show how to construct such algorithms from Pontryagin’s maximum principle. A wide variety of target states can be achieved with high precision by varying only the laser phases setting the lattice position. We discuss the physical relevance of the different results and the future directions of this work.
Authors
- Dominique Sugny (ORCID: https://orcid.org/0000-0002-1963-333X)
- E Dionis
- David Guéry-Odelin (ORCID: https://orcid.org/0000-0003-4869-1341)
- S. Guérin (ORCID: https://orcid.org/0000-0002-9826-9598)
- Bruno Peaudecerf (ORCID: https://orcid.org/0000-0002-2221-2034)
Institutions
- Centre National de la Recherche Scientifique (FR)
- Université Toulouse III - Paul Sabatier (FR)
- Université de Bourgogne (FR)
- Laboratoire Interdisciplinaire Carnot de Bourgogne (FR)
- Laboratoire Collisions Agrégats Réactivité (FR)
Publication Details
- Journal
- Frontiers in Quantum Science and Technology
- Published
- 2025-02-03
- DOI
- https://doi.org/10.3389/frqst.2025.1540695
- Citations
- 4
- Primary Topic
- Cold Atom Physics and Bose-Einstein Condensates
- Type
- article
- Field-Weighted Citation Impact
- 4.99
Funders
- Agence Nationale de la Recherche
- Centre National de la Recherche Scientifique