Phase-space distributions of Bose-Einstein condensates in an optical lattice: Optimal shaping and reconstruction
arXiv:2210.11112 · doi:10.1088/1367-2630/acaf9a
Abstract
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.
10 pages, 9 figures
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Cited by in corpus (5)
- Introduction to Theoretical and Experimental aspects of Quantum Optimal Control
- A regular Hamiltonian halting ratchet for matter wave transport
- Optimal control of a Bose-Eintein Condensate in an optical lattice: The non-linear and two-dimensional cases
- Unitary Transformations using Robust Optimal Control on a Cold Atom Qudit
- Fast momentum-selective transport of Bose-Einstein condensates via controlled non-adiabatic dynamics in optical lattices