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Perturbative spectrum of Trapped Weakly Interacting Bosons in Two Dimensions | | Velimir Bardek
; Larisa Jonke
; Stjepan Meljanac
; | | Date: |
22 Dec 2000 | | Journal: | Phys. Rev. A 64 (2001) 015603 | | Subject: | Mesoscopic Systems and Quantum Hall Effect | cond-mat.mes-hall | | 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. | | Source: | arXiv, cond-mat/0012438 | | Services: | Forum | Review | PDF | Favorites | |
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