【摘 要】
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We study systematically the period-doubled Bloch states for a weakly interacting Bose-Einstein condensate in a one-dimensional optical lattice.This kind of stat
【机 构】
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School of Electronics Engineering and Computer Science, Peking University, Beijing 100871“,”Internat
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We study systematically the period-doubled Bloch states for a weakly interacting Bose-Einstein condensate in a one-dimensional optical lattice.This kind of state is of form ψk =eikx φk (x),where φk (x) is of a period twice the optical lattice constant.Our numerical results show how these nonlinear period-doubled states grow out of linear period-doubled states at a quarter away from the Brillouin zone center as the repulsive interatomic interaction increases.This is corroborated by our analytical results.We find that all nonlinear period-doubled Bloch states have both Landau instability and dynamical instability.
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