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Proposal for observing non-Abelian statistics of Majorana-Shockley fermions in an optical lattice
non-Abelian statistics Majorana-Shockley fermions an optical lattice
2016/1/22
Besides the conventional bosons and fermions, in synthetic two-dimensional (2D) materials there could exist more exotic quasiparticles with non-Abelian statistics, meaning that the quantum states in t...
Majorana meets Coxeter: Non-Abelian Majorana Fermions and Novel Non-Abelian Statistics
Majorana meets Coxeter Non-Abelian Majorana Fermions Novel Non-Abelian Statistics
2010/11/11
Statistics of particles is one of the most fundamental aspects of quantum systems. Majorana fermions in vortices on a two-dimensional plane obey novel statistics called non-Abelian statistics. Non-Abe...
Non-Abelian statistics as a Berry phase in exactly solvable models
Non-Abelian statistics Berry phase solvable models
2010/4/13
We 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 mode...