Abstract The Gross-Pitaevskii equation is solved by analytic methods for anexternal double-well potential that is an infinite square well plusa δ-function central barrier. We find solutions that havethe symmetry of the non-interacting Hamiltonian as well as asymmetricsolutions that bifurcate from the symmetric solutions for attractive interactions and from the antisymmetric solutions for repulsive interactions. We presenta variational approximation to the asymmetric state as well as anapproximate numerical approach. Stability of the states is briefly considered.
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Ragan et al. (2024) studied this question.
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