Multipulse phases in k-mixtures of Bose-Einstein condensates

Details Multipulse phases in k-mixtures of Bose-Einstein condensates Multipulse phases in k-mixtures of Bose-Einstein condensates

2008-07-12

arxiv.org/abs/0807.1979v1

Mathematics

Analysis of PDEs

21 pages

Scientific paper

10.1007/s00205-008-0172-y

For a competitive system of k coupled nonlinear Schroedinger equations we prove the existence, when the competition parameter is large, of positive radial solutions on R^N. We show that, when the competition parameter goes to infinity, the profile of each component separates, in many pulses, from the others. Moreover, we can prescribe the location of such pulses in terms of the oscillations of the changing-sign solutions of the scalar nonlinear Schroedinger equation. Within an Hartree-Fock approximation, this provides a theoretical indication of phase separation into many nodal domains for the k-mixtures of Bose-Einstein condensates.

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