Exact Eigenstates for Repulsive Bosons in Two Dimensions
凝聚态物理
2009-10-31 v1
摘要
We consider a model of two-dimensional bosons in a harmonic potential with weak repulsive delta-function interactions. We show analytically that, for angular momentum , the elementary symmetric polynomials of particle coordinates measured from the center of mass are exact eigenstates with energy . Extensive numerical analysis confirms that these are actually the ground states, but we are currently unable to prove this analytically. The special case can be thought of as the generalisation of the usual superfluid one-vortex state to Bose-Einstein condensates in a trap.
引用
@article{arxiv.cond-mat/0005230,
title = {Exact Eigenstates for Repulsive Bosons in Two Dimensions},
author = {R A Smith and N K Wilkin},
journal= {arXiv preprint arXiv:cond-mat/0005230},
year = {2009}
}