Modulational instability criteria for two-component Bose-Einstein condensates

Abstract

The stability of colliding Bose-Einstein condensates is investigated. A set of coupled Gross-Pitaevskii equations is thus considered, and analyzed via a perturbative approach. No assumption is made on the signs (or magnitudes) of the relevant parameters like the scattering lengths and the coupling coefficients. The formalism is therefore valid for asymmetric as well as symmetric coupled condensate wave states. A new set of explicit criteria is derived and analyzed. An extended instability region, in addition to an enhanced instability growth rate is predicted for unstable two component bosons, as compared to the individual (uncoupled) state.

4 pages, 1 figure

References in corpus (5)

• Formation and Propagation of Matter Wave Soliton Trains
• Formation of a Matter-Wave Bright Soliton
• Phase separation of Bose-Einstein condensates
• Superchemistry: dynamics of coupled atomic and molecular Bose-Einstein condensates
• Elastic scattering loss of atoms from colliding Bose-Einstein condensate wavepackets

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• Modulation instability in quasi two-dimensional spin-orbit coupled Bose-Einstein condensates
• Outcoupling vector solitons from a Bose-Einstein condensate with time-dependent interatomic forces
• Modulational instability in asymmetric coupled wave functions
• Bright solitons and soliton trains in a fermion-fermion mixture
• Many-body exceptional points in colliding condensates
• Modulational instability and quantum droplets in a two-dimensional Bose-Einstein condensate