Abstract:The nonlinear Dirac equation for Bose-Einstein condensates (BECs) in honeycomb optical lattices gives rise to relativistic multi-component bright and dark soliton solutions. Using the relativistic linear stability equations, the relativistic generalization of the Boguliubov-de Gennes equations, we compute soliton lifetimes against quantum fluctuations and classify the different excitation types. For a BEC of Rb 87 atoms, we find that our soliton solutions are stable on time scales relevant to experiments. Exci… Show more
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