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We consider a class of nonlinear Schrodinger / Gross-Pitaveskii (NLS-GP)equations, i.e. NLS with a linear potential. We obtain conditions for asymmetry breaking bifurcation in a symmetric family of states as N, the squaredL^2 norm  (particle number, optical power), is increased. In the special case where thelinear potential is a double-well with well separation L, we estimate N_{cr},the symmetry breaking threshold.  Along the ``lowest energy'' symmetric branch, there is an exchange ofstability from the symmetric to asymmetric branch as N is increased beyondN_{cr}.

Symmetry-Breaking Bifurcation in Nonlinear Schrödinger/Gross–Pitaevskii Equations