Bose condensates at high angular momenta
arXiv:cond-mat/0003081 · doi:10.1103/PhysRevA.62.053604
Abstract
We exploit the analogy with the Quantum Hall (QH) system to study weakly interacting bosons in a harmonic trap. For a -function interaction potential the ``yrast'' states with 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.
6 pages, including 4 figures and 3 tables
References in corpus (5)
Cited by in corpus (55)
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