Monte Carlo Evaluation of Non-Abelian Statistics

Abstract

We develop a general framework to (numerically) study adiabatic braiding of quasiholes in fractional quantum Hall systems. Specifically, we investigate the Moore-Read (MR) state at $\nu =1/2$ filling factor, a known candidate for non-Abelian statistics, which appears to actually occur in nature. The non-Abelian statistics of MR quasiholes is demonstrated explicitly for the first time, confirming the results predicted by conformal field theories.

4 pages, 4 figures

References in corpus (2)

• Quantum Phases of Vortices in Rotating Bose-Einstein Condensates
• Paired fractional quantum Hall states and the nu=5/2 puzzle

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