Physics – Condensed Matter – Soft Condensed Matter
Scientific paper
2004-05-27
Phys. Rev. A 70, 043625 (2004)
Physics
Condensed Matter
Soft Condensed Matter
9 pages, 11 figures; typos corrected, references updated, new Figure 7
Scientific paper
10.1103/PhysRevA.70.043625
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 Schrodinger 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.
Dalfovo Franco
Modugno Marco
Tozzo Cesare
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