Condensate Fragmentation in a New Exactly Solvable Model for Confined Bosons

Abstract

Based on Richardson's exact solution of the pairing model and the Gaudin model for spin systems we derive a new class of exactly solvable models for finite boson system. As an example we solve a particular hamiltonian which displays a transition to a fragmented condensate for repulsive pairing interactions.

Comments: Revised version. To be published by Pysical Review Letters