6533b7d4fe1ef96bd12627d6

RESEARCH PRODUCT

Bose condensates at high angular momenta

Susanne ViefersStephanie ReimannThors Hans Hansson

subject

PhysicsYrastDegenerate energy levelsCondensed Matter (cond-mat)FOS: Physical sciencesCondensed MatterQuantum Hall effectAtomic and Molecular Physics and OpticsSpectral lineQuantum mechanicsComposite fermionAlgebraic numberWave functionBoson

description

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.

yearjournalcountryeditionlanguage
2000-03-06
https://dx.doi.org/10.48550/arxiv.cond-mat/0003081