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Quantum Switching at a Mean-Field Instability of a Bose-Einstein Condensate in an Optical Lattice
It is shown that bifurcation of the mean-field dynamics of a Bose-Einstein condensate can be related to the quantum phase transition of the original many-body system. As an example we explore the intraband tunneling in the two-dimensional optical lattice. Such a system allows for easy control by the lattice depth …