Perturbative spectrum of Trapped Weakly Interacting Bosons in Two Dimensions
Mesoscale and Nanoscale Physics
2009-10-31 v2
Abstract
We study a trapped Bose-Einstein condensate under rotation in the limit of weak, translational and rotational invariant two-particle interactions. We use the perturbation-theory approach (the large-N expansion) to calculate the ground-state energy and the excitation spectrum in the asymptotic limit where the total number of particles N goes to infinity while keeping the total angular momentum L finite. Calculating the probabilities of different configurations of angular momentum in the exact eigenstates gives us a clear view of the physical content of excitations. We briefly discuss the case of repulsive contact interaction.
Keywords
Cite
@article{arxiv.cond-mat/0012438,
title = {Perturbative spectrum of Trapped Weakly Interacting Bosons in Two Dimensions},
author = {Velimir Bardek and Larisa Jonke and Stjepan Meljanac},
journal= {arXiv preprint arXiv:cond-mat/0012438},
year = {2009}
}
Comments
Revtex, 10 pages, 1 table, to appear in Phys. Rev. A