Ville Lahtinen and Jiannis K Pachos 2009 New J. Phys. 11 093027 doi:10.1088/1367-2630/11/9/093027
Non-Abelian statistics as a Berry phase in exactly solvable models
Ville Lahtinen1 and Jiannis K Pachos
Show affiliationsWe demonstrate how to directly study non-Abelian statistics for a wide class of exactly solvable many-body quantum systems. By employing exact eigenstates to simulate the adiabatic transport of a model's quasi-particles, the resulting Berry phase provides a direct demonstration of their non-Abelian statistics. We apply this technique to Kitaev's honeycomb lattice model and explicitly demonstrate the existence of non-Abelian Ising anyons confirming the previous conjectures. Finally, we present the manipulations needed to transport and detect the statistics of these quasi-particles in the laboratory. Various physically realistic system sizes are considered and exact predictions for such experiments are provided.
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Issue 9 (September 2009)
Received 26 May 2009
Published 16 September 2009
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Non-Abelian statistics as a Berry phase in exactly solvable models
Ville Lahtinen and Jiannis K Pachos 2009 New J. Phys. 11 093027
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