Yrast line for weakly interacting trapped bosons

Details Yrast line for weakly interacting trapped bosons Yrast line for weakly interacting trapped bosons

1999-08-12

arxiv.org/abs/cond-mat/9908189v1

Phys.Rev.Lett.83:5412,1999

Physics

Condensed Matter

9 pages, 3 EPS-figures, uses psfig.sty

Scientific paper

10.1103/PhysRevLett.83.5412

We compute numerically the yrast line for harmonically trapped boson systems with a weak repulsive contact interaction, studying the transition to a vortex state as the angular momentum L increases and approaches N, the number of bosons. The L=N eigenstate is indeed dominated by particles with unit angular momentum, but the state has other significant components beyond the pure vortex configuration. There is a smooth crossover between low and high L with no indication of a quantum phase transition. Most strikingly, the energy and wave function appear to be analytical functions of L over the entire range 2 < L < N. We confirm the structure of low-L states proposed by Mottelson, as mainly single-particle excitations with two or three units of angular momentum.

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