Operator-Algebraic Approach to the Yrast Spectrum of Weakly Interacting Trapped Bosons
Masahito Ueda, Tatsuya Nakajima
Abstract
We present an operator-algebraic approach to deriving the low-lying quasi-degenerate spectrum of weakly interacting trapped N bosons with total angular momentum L for the case of small L/N, demonstrating that the lowest-lying excitation spectrum is given by 27 g n3(n3-1)/34, where g is the strength of the repulsive contact interaction and n3 the number of excited octupole quanta. Our method provides constraints for these quasi-degenerate many-body states and gives higher excitation energies that depend linearly on N.
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