期刊
PHYSICA D-NONLINEAR PHENOMENA
卷 238, 期 15, 页码 1413-1421出版社
ELSEVIER
DOI: 10.1016/j.physd.2009.02.001
关键词
Nonlinear Dirac equation; Nonlinear Schrodinger equation; Bose-Einstein condensates; Ultra-cold atoms; Optical lattices; Graphene
资金
- National Science Foundation [PHY-0547845]
We show that Bose-Einstein condensates in a honeycomb optical lattice can he described by a nonlinear Dirac equation in the long wavelength, mean field limit. Unlike nonlinear Dirac equations posited by particle theorists, which are designed to preserve the principle of relativity, i.e., Poincare covariance, the nonlinear Dirac equation for Bose-Einstein condensates breaks this symmetry. We present a rigorous derivation of the nonlinear Dirac equation from first principles. We provide a thorough discussion Of all symmetries broken and maintained. (C) 2009 Elsevier B.V. All rights reserved.
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