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arxiv: cond-mat/0108474 · v1 · submitted 2001-08-28 · ❄️ cond-mat · nlin.SI· physics.atom-ph

Universal solutions for interacting bosons in one-dimensional harmonic traps

classification ❄️ cond-mat nlin.SIphysics.atom-ph
keywords solutionsbosonsexactharmonicinteractinginteractionsone-dimensionalstates
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We consider systems of interacting bosons confined to one-dimensional harmonic traps. In the limit of perturbatively weak two-body interactions the system exhibits several universal states that are exact solutions for a large class of two-body interactions. These states are closely related to the exact solutions found previously in rotating Bose-Einstein condensates.

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    The quantum cubic Szegő equation exhibits integer spectra for its Hamiltonian and conserved hierarchies, indicating superintegrability beyond ordinary quantum integrability.