Continuous configuration-interaction for condensates in a ring
arXiv:cond-mat/0402626 · doi:10.1209/epl/i2004-10047-3
Abstract
A continuous configuration-interaction approach for condensates in a ring is introduced. In its simplest form this approach utilizes for attractive condensates the Gross-Pitaevskii symmetry-broken solution and arrives at a ground-state of correct symmetry. Furthermore, the energy found is {\it lower} than the Gross-Pitaevskii one and, with increasing number of particles and/or strength of inter-particle interaction, is even {\it lower} than that accessed by tractable diagonalization of the many-body Hamiltonian. Implications also to excited states are briefly discussed.
12 pages, 3 figures
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