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Non-Abelian Quantum Hall States and their Quasiparticles: from the Pattern of Zeros to Vertex Algebra
Yuan-Ming Lu, Xiao-Gang Wen, Zhenghan Wang +1
In the pattern-of-zeros approach to quantum Hall states, a set of data {n;m;S_a|a=1,...,n; n,m,S_a in N} (called the pattern of zeros) is introduced to characterize a quantum Hall…
Anyonic Quantum Walks
Gavin K. Brennen, Demosthenes Ellinas, Viv Kendon +3
The one dimensional quantum walk of anyonic systems is presented. The anyonic walker performs braiding operations with stationary anyons of the same type ordered canonically on the…
Topology driven quantum phase transitions in time-reversal invariant anyonic quantum liquids
Charlotte Gils, Simon Trebst, Alexei Kitaev +3
Indistinguishable particles in two dimensions can be characterized by anyonic quantum statistics more general than those of bosons or fermions. Such anyons emerge as quasiparticles…
A short introduction to Fibonacci anyon models
Simon Trebst, Matthias Troyer, Zhenghan Wang +1
We discuss how to construct models of interacting anyons by generalizing quantum spin Hamiltonians to anyonic degrees of freedom. The simplest interactions energetically favor pair…