Abstract
We study the evolving energy spectrum of interacting ultra-cold atoms in an optical lattice as a function of an external parameter, the tilt of the lattice. In a regime where the quantum mechanical model, the Bose–Hubbard Hamiltonian, shows predominantly chaotic behavior, we identify regular structures in the parametric level evolution and characterize the eigenstates associated with these structures. The mechanism generating these structures is found to be different from Stark localization or energetic isolation and is induced by an interplay of driving and interaction.
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Venzl, H., Zech, T., Oleś, B. et al. Solitonic eigenstates of the chaotic Bose–Hubbard Hamiltonian. Appl. Phys. B 98, 647–652 (2010). https://doi.org/10.1007/s00340-009-3858-4
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DOI: https://doi.org/10.1007/s00340-009-3858-4