2000/12/31 by Masahito Ueda, Tatsuya Nakajima
Physics and Astronomy · #Cold Atom Physics and Bose-Einstein Condensates #Physics of Superconductivity and Magnetism #Quantum, superfluid, helium dynamics #cond-mat.mes-hall
paper · pdf · doi:10.1103/physreva.64.063609
7 pages, one figure
arxiv created 2001/08/20 · openalex publication_date 2001/11/15 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We present an operator-algebraic approach to derive the low-lying quasidegenerate spectrum of weakly interacting trapped N bosons with total angular momentum \ensuremath\ElzxhL for the case of L/N\ensuremath≪1. We demonstrate that the lowest-lying excitation spectrum is given by 27gn3(n3\ensuremath-1)/34, where g is the strength of the repulsive contact interaction and n3 is the number of excited octupole quanta. Our method provides constraints for these quasidegenerate many-body states and gives higher excitation energies that depend linearly on N.