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arXiv · cond-mat/9908189

Yrast line for weakly interacting trapped bosons

George F. Bertsch·Thomas Papenbrock
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Abstract

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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George F. Bertsch, Thomas Papenbrock. 1999-08-12. Yrast line for weakly interacting trapped bosons. https://doi.org/10.1103/physrevlett.83.5412

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