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

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 an...

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Bibliographic Details
Published in:arXiv.org 2022-10
Main Authors: Dupont, N, Arrouas, F, Gabardos, L, Ombredane, N, Billy, J, Peaudecerf, B, Sugny, D, Guéry-Odelin, D
Format: Article
Language:English
Subjects:
Bose-Einstein condensates
Control theory
Optical lattices
Optimal control
Reconstruction
Wave functions
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Summary: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.
ISSN:2331-8422
DOI:10.48550/arxiv.2210.11112