12-Anyons in Small Atomic Bose-Einstein Condensates

Abstract
We discuss a way of creating, manipulating, and detecting anyons in rotating Bose-Einstein condensates consisting of a small number of atoms. By achieving a quasidegeneracy in the atomic motional states we drive the system into a 12-Laughlin state for fractional quantum Hall bosons. Localized 12-quasiholes can be created by focusing lasers at the desired positions. We show how to manipulate these quasiholes in order to probe directly their 12-statistics.
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