Low-lying excitations from the yrast line of weakly interacting trapped bosons

Tatsuya Nakajima, Masahito Ueda

Research output: Contribution to journalArticlepeer-review


Through an extensive numerical study, we find that the low-lying, quasidegenerate eigenenergies of weakly interacting trapped N bosons with total angular momentum L are given in the case of small LIN and sufficiently small L by E=Lℏω+g[N(N-L/2-1) + 1.59 n(n-1)/2], where ω is the frequency of the trapping potential and g is the strength of the repulsive contact interaction. The last term arises from the pairwise repulsive interaction among n octupole excitations and describes the lowest-lying excitation spectra from the yrast line. In this case, the quadrupole modes do not interact with themselves and, together with the octupole modes, exhaust the low-lying spectra that are separated from others by energy gaps linear in N.

Original languageEnglish
Article number043610
Pages (from-to)1-4
Number of pages4
JournalPhysical Review A - Atomic, Molecular, and Optical Physics
Issue number4
Publication statusPublished - 2001

ASJC Scopus subject areas

  • Atomic and Molecular Physics, and Optics


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