vix.ing · top · new · best · stats · spec

Perturbative spectrum of trapped weakly interacting bosons in two dimensions

2000/12/31 by V. Bardek, Velimir Bardek, Larisa Jonke +1
Physics and Astronomy · #Atomic and Subatomic Physics Research #Cold Atom Physics and Bose-Einstein Condensates #Quantum optics and atomic interactions #cond-mat.mes-hall

paper · pdf · doi:10.1103/physreva.64.015603

published as Phys. Rev. A 64 (2001) 015603 · Revtex, 10 pages, 1 table, to appear in Phys. Rev. A

arxiv created 2001/05/16 · openalex publication_date 2001/06/11 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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.

Citations