Modulation Instability and Pattern Formation in Two-component Bose-Einstein Condensates

No Heading We investigate the dynamics of pattern formation caused by the modulation instability of two-component Bose-Einstein condensates in trapping potentials based on the numerical analysis of the coupled Gross-Pitaevskii equations. The modulation instability induced by the intercomponent mean-field coupling occurs in the out-of-phase fluctuation of the wave function and leads to the formation of multiple domains. We especially focus on the dimensional dependence of the dynamics by varying the aspect ratio of the trapping potential, finding the two-step dynamic process of the pattern formation due to the different time scales of the instability in the different spatial dimensions.PACS numbers: 03.75.Lm, 03.75.Mn