Nonlinear Sciences – Pattern Formation and Solitons
Scientific paper
2004-03-22
Nonlinear Sciences
Pattern Formation and Solitons
16 pages and 13 figures
Scientific paper
10.1088/0305-4470/38/9/005
We study the dynamics of two-component Bose-Einstein condensates in periodic potentials in one dimension. Elliptic potentials which have the sinusoidal optical potential as a special case are considered. We construct exact nonstationary solutions to the mean-field equations of motion. Among the solutions are two types of temporally-periodic solutions -- in one type there are condensate oscillations between neighboring potential wells, while in the other the condensates oscillate from side to side within the wells. Our numerical studies of the stability of these solutions suggests the existence of one-parameter families of stable nonstationary solutions.
Bradley Mark R.
Deconinck Bernard
Kutz Nathan J.
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