Perturbative spectrum of Trapped Weakly Interacting Bosons in Two Dimensions

Physics – Condensed Matter – Mesoscale and Nanoscale Physics

Scientific paper

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Revtex, 10 pages, 1 table, to appear in Phys. Rev. A

Scientific paper

10.1103/PhysRevA.64.015603

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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