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Trapped Ion Quantum Computing
Optimal control of a Bose-Eintein Condensate in an optical lattice: The non-linear and two-dimensional cases
arXiv
Authors: E. Dionis, B. Peaudecerf, S. Guérin, D. Guéry-Odelin, D. Sugny
Year
2024
Paper ID
6283
Status
Preprint
Abstract Read
~2 min
Abstract Words
82
Citations
N/A
Abstract
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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- This paper contributes to the Trapped-Ion Quantum Computing research area in the Quantum Articles archive.
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- We numerically study the optimal control of an atomic Bose-Einstein condensate in an optical lattice.
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