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Phys. Rev. A 64, 063609 (2001) [7 pages]

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

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Masahito Ueda1 and Tatsuya Nakajima2,*
1Department of Physics, Tokyo Institute of Technology, Meguro-ku, Tokyo 152-8551, JapanCREST, Japan Science and Technology Corporation (JST), Saitama 332-0012, Japan
2Department of Physics, The University of Texas, Austin, Texas 78712

Received 26 December 2000; published 15 November 2001

We present an operator-algebraic approach to derive the low-lying quasidegenerate spectrum of weakly interacting trapped N bosons with total angular momentum ħL for the case of L/N≪1. We demonstrate that the lowest-lying excitation spectrum is given by 27gn3(n3-1)/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.

© 2001 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevA.64.063609
DOI:
10.1103/PhysRevA.64.063609
PACS:
03.75.Fi, 05.30.Jp, 67.40.Db

*Permanent address: Physics Department, Graduate School of Science, Tohoku University, Sendai 980-8578, Japan.

 
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