Article Dans Une Revue Frontiers in Quantum Science and Technology Année : 2025

Optimal control of a Bose-Einstein condensate in an optical lattice: the non-linear and two-dimensional cases

Résumé

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.
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hal-04929609 , version 1 (04-02-2025)

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E. Dionis, B Peaudecerf, Stéphane Guérin, David Guéry-Odelin, D. Sugny. Optimal control of a Bose-Einstein condensate in an optical lattice: the non-linear and two-dimensional cases. Frontiers in Quantum Science and Technology, 2025, 4, pp.1540695. ⟨10.3389/frqst.2025.1540695⟩. ⟨hal-04929609⟩
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