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Perturbative spectrum of Trapped Weakly Interacting Bosons in Two Dimensions

Velimir Bardek·Larisa Jonke·Stjepan Meljanac
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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.

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Velimir Bardek, Larisa Jonke, Stjepan Meljanac. 2001-05-16. Perturbative spectrum of Trapped Weakly Interacting Bosons in Two Dimensions. https://doi.org/10.1103/physreva.64.015603

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