3 years ago

Continuous-wave solutions and modulational instability in spinor condensates of positronium

We obtain general continuous-wave (CW) solutions in the model of a spinor positronium condensate in the absence of magnetic field. The CW solutions with both in-phase ( n = 0) and out-of-phase ( n = 1) spin components exist, with their ranges limited by the total particle density, ρ . In the limit of negligible population exchange between the spin components, the CW solutions are found to be stable or unstable, depending on the particle density of the para-positronium. Ortho-positronium, in the F = 1 spinor state, forms a ferromagnetic condensate with stable in-phase CW solutions only. Subsequent examination of the modulational instability is carried out both in the limit case of identical wavenumbers in the spin components, ##IMG## [http://ej.iop.org/images/0953-4075/51/4/045006/jpbaaa399ieqn1.gif] {${\rm{\Delta }}k\equiv {k}_{1}-{k}_{-1}=0$} , and in the more general case of ##IMG## [htt...] {${\rm{\Delta }}k\ne 0$}

Publisher URL: http://iopscience.iop.org/0953-4075/51/4/045006

DOI: 10.1088/1361-6455/aaa399

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