Phys. Rev. A 78, 053607 (2008) [7 pages]Role of the mean field in Bloch oscillations of a Bose-Einstein condensate in an optical lattice and harmonic trapReceived 23 June 2008; published 4 November 2008 Using the Crank-Nicholson method, we study the evolution of a Bose-Einstein condensate in an optical lattice and harmonic trap. The condensate is excited by displacing it from the center of the harmonic trap. The mean field plays an important role in the Bloch-type oscillations that occur after sufficiently large initial displacement. We find that a moderate mean field significantly suppresses the dispersion of the condensate in momentum space. When the mean field becomes large, soliton and vortex structures appear in the condensate wave function. © 2008 The American Physical Society URL:
http://link.aps.org/doi/10.1103/PhysRevA.78.053607
DOI:
10.1103/PhysRevA.78.053607
PACS:
03.75.Kk, 03.75.Lm, 05.45.Yv
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