Quantum spectrum of three anyons in an oscillator potential

Abstract

The low-lying quantum states of three anyons confined in a harmonic-oscillator well are obtained numerically. The interpolation of these states between the limits of noninteracting bosons to noninteracting fermions in the well is established. Particular attention is paid to the transformation of the fermionic ground state to an excited Bosonic state, and its overlap with Laughlin-Wu-type correlated states.