Modulation instability and solitary wave formation in two-component Bose-Einstein condensates

Abstract

We investigate nonlinear dynamics induced by the modulation instability of a two-component mixture in an atomic Bose-Einstein condensate. The nonlinear dynamics is examined using numerical simulations of the time-dependent coupled Gross-Pitaevskii equations. The unstable modulation grows from initially miscible condensates into various types of vector solitary waves, depending on the combinations of the sign of the coupling constants (intracomponent and intercomponent). We discuss the detailed features of the modulation instability, dynamics of solitary wave formation, and an analogy with the collapsing dynamics in a single-component condensate with attractive interactions.

15 pages, 10 figures

References in corpus (3)

• Soliton trains in Bose-Fermi mixtures
• Bose-Einstein condensate collapse: a comparison between theory and experiment
• Dynamics of F=1 87Rb condensates at finite temperatures

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• Solitary waves for linearly coupled nonlinear Schrodinger equations with inhomogeneous coefficients
• Supersolitons: Solitonic excitations in atomic soliton chains
• Mixed symmetry localized modes and breathers in binary mixtures of Bose-Einstein condensates in optical lattices
• Partial delocalization of two-component condensates in optical lattices