Phys. Rev. A 70, 043625 (2004) [9 pages]Role of transverse excitations in the instability of Bose-Einstein condensates moving in optical latticesSee Also: Erratum Received 28 May 2004; published 22 October 2004 The occurrence of energetic and dynamical instabilities in a Bose-Einstein condensate moving in a one-dimensional (1D) optical lattice is analyzed by means of the Gross-Pitaevskii theory. Results of full 3D calculations are compared with those of an effective 1D model, the nonpolynomial Schrödinger equation, pointing out the role played by transverse degrees of freedom. The instability thresholds are shown to be scarcely affected by transverse excitations, so that they can be accurately predicted by effective 1D models. Conversely, transverse excitations turn out to be important in characterizing the stability diagram and the occurrence of a complex radial dynamics above the threshold for dynamical instability. This analysis provides a realistic framework to discuss the dissipative dynamics observed in recent experiments. © 2004 The American Physical Society URL:
http://link.aps.org/doi/10.1103/PhysRevA.70.043625
DOI:
10.1103/PhysRevA.70.043625
PACS:
03.75.Kk, 03.75.Lm
See AlsoErratum: M. Modugno, C. Tozzo, and F. Dalfovo, Erratum: Role of transverse excitations in the instability of Bose-Einstein condensates moving in optical lattices [Phys. Rev. A 70, 043625 (2004)], Phys. Rev. A 71, 019904 (2005). |
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