2018/04/30 by Anna Komar, Komar, Anna, Olivier Landon-Cardinal +1
Physics and Astronomy · #FOS: Physical sciences #Quantum Physics (quant-ph) #quant-ph
paper · pdf · doi:10.48550/arxiv.1805.00032
22 pages, 21 figures
arxiv created 2018/04/30 · arxiv updated 2018/05/02
We analyze phase transitions induced by forbidding charges and fluxes in D(S3), the simplest non-Abelian model among quantum doubles, a class of 2D spin lattice topological models introduced by Kitaev. Contrary to a topological quantum field theory, the lattice degrees of freedom allow to forbid charges and fluxes independently, resulting in a non-trivial effect on dyons. Forbidding charges and fluxes leads to only a subset of the original anyons remaining, forming a new theory. We interpret the processes the theory undergoes in terms of condensation, spontaneous symmetry breaking, splitting of particles. Mapping the complete phase diagram of D(S3), we find two distinct groups of phases: quantum doubles of subgroups of S3, and a non-trivial emergent chiral phase, SU(2)4.