Operator-algebraic approach to the yrast spectrum of weakly interacting trapped bosons

Masahito Ueda, Tatsuya Nakajima

Research output: Contribution to journalArticlepeer-review

Abstract

An operator-algebraic approach to analyze the yrast spectrum of weakly interacting bosons is proposed. The basic idea is to exploit the macroscopic occupation of a particular mode to rewrite the second-quantized interaction Hamiltonian under the restriction of the total particle-number conservation and the angular-momentum conservation. Analytically, it is shown that the lowest-lying excitation spectrum from the yrast line is given by 27gn3(n3-1)/34.

Original languageEnglish
Article number063609
Pages (from-to)1-7
Number of pages7
JournalPhysical Review A. Atomic, Molecular, and Optical Physics
Volume64
Issue number6
DOIs
Publication statusPublished - 2001 Dec
Externally publishedYes

ASJC Scopus subject areas

  • Atomic and Molecular Physics, and Optics

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