336 citations · 1.1k across the 12 of their papers we have counts for
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cond-mat.quant-gas2015★ 13 cited
The nonlinear Dirac equation in Bose-Einstein condensates: Superfluid fluctuations and emergent theories from relativistic linear stability equations
L. H. Haddad, Lincoln D. Carr
We present the theoretical and mathematical foundations of stability analysis for a Bose-Einstein condensate (BEC) at Dirac points of a honeycomb optical lattice. The combination o…
cond-mat.quant-gas2015★ 15 cited
The nonlinear Dirac equation in Bose-Einstein condensates: Vortex solutions and spectra in a weak harmonic trap
L. H. Haddad, Lincoln D. Carr
We analyze the vortex solution space of the -dimensional nonlinear Dirac equation for bosons in a honeycomb optical lattice at length scales much larger than the lattice sp…