Abstract
We consider a model of N two-dimensional bosons in a harmonic potential with weak repulsive delta -function interactions. We show analytically that, for angular momentum L less than or equal toN, the elementary symmetric polynomials of particle coordinates measured from the center of mass are exact eigenstates with energy N(N-L/2-1). Extensive numerical analysis confirms that these are actually the ground states, but we are currently unable to prove this analytically. The special case L=N can be thought of as the generalization of the usual superfluid one-vortex state to Bose-Einstein condensates in a trap.
Original language | English |
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Article number | 061602 |
Journal | Physical Review A |
Volume | 62 |
Issue number | 6 |
DOIs | |
Publication status | Published - 1 Nov 2000 |