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Transverse collisional instabilities of a Bose-Einstein condensate in a driven one-dimensional lattice

Transverse collisional instabilities of a Bose-Einstein condensate in a driven one-dimensional lattice

Motivated by recent experiments, we analyze the stability of a three-dimensional Bose-Einstein condensate loaded in a periodically driven one-dimensional optical lattice. Such periodically driven systems do not have a thermodynamic ground state but may have a long-lived steady state which is an eigenstate of a ``Floquet Hamiltonian.'' We explore collisional …