The nonlinear Dirac equation in Bose–Einstein condensates: superfluid fluctuations and emergent theories from relativistic linear stability equations

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 of s -wave scattering for bosons and lattice interaction places constraints on the mean-field description, and hence on v...

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Bibliographic Details

Published in:	New Journal of Physics
Main Authors:	L H Haddad, Lincoln D Carr
Format:	Article
Language:	English
Published:	IOP Publishing 2015-01-01
Subjects:	nonlinear Dirac equation Bose–Einstein condensate relativistic nonlinear equations 67.85.Hj 67.85.Jk 05.45.-a
Online Access:	https://doi.org/10.1088/1367-2630/17/9/093037