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Article Dans Une Revue New Journal of Physics Année : 2023

Phase-space distributions of Bose-Einstein condensates in an optical lattice: Optimal shaping and reconstruction

Résumé

We apply quantum optimal control to shape the phase-space distribution of Bose-Einstein condensates in a one-dimensional optical lattice. By a time-dependent modulation of the lattice position, determined from optimal control theory, we prepare, in the phase space of each lattice site, translated and squeezed Gaussian states, and superpositions of Gaussian states. Complete reconstruction of these non-trivial states is performed through a maximum likelihood state tomography. As a practical application of our method to quantum simulations, we initialize the atomic wavefunction in an optimal Floquet-state superposition to enhance dynamical tunneling signals.

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hal-03824656 , version 1 (21-10-2022)

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Nathan Dupont, Floriane Arrouas, Lucas Gabardos, Nicolas Ombredane, Juliette Billy, et al.. Phase-space distributions of Bose-Einstein condensates in an optical lattice: Optimal shaping and reconstruction. New Journal of Physics, 2023, 25, pp.013012. ⟨10.1088/1367-2630/acaf9a⟩. ⟨hal-03824656⟩
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