Bose condensates at high angular momenta

Details Bose condensates at high angular momenta Bose condensates at high angular momenta

2000-03-06

arxiv.org/abs/cond-mat/0003081v1

Phys.Rev.A62:053604,2000

Physics

Condensed Matter

6 pages, including 4 figures and 3 tables

Scientific paper

10.1103/PhysRevA.62.053604

We exploit the analogy with the Quantum Hall (QH) system to study weakly interacting bosons in a harmonic trap. For a $\delta$-function interaction potential the ``yrast'' states with $L\ge N(N-1)$ are degenerate, and we show how this can be understood in terms of Haldane exclusion statistics. We present spectra for 4 and 8 particles obtained by numerical and algebraic methods, and demonstrate how a more general hard-core potential lifts the degeneracies on the yrast line. The exact wavefunctions for N=4 are compared with trial states constructed from composite fermions (CF), and the possibility of using CF-states to study the low L region at high N is discussed.

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