2015/08/06 by Miguel Jorge Bernabé Ferreira, Ferreira, Miguel Jorge Bernabe, Pramod Padmanabhan +3 · 1 citation
Physics and Astronomy · #Theoretical and Computational Physics #Quantum many-body systems #Quantum chaos and dynamical systems
paper · pdf · doi:10.48550/arxiv.1508.01399
The global e-m exchange symmetry of the toric code is realized locally\nthrough an exactly solvable Hamiltonian on a two dimensional lattice which has\nno lattice dislocations and their associated defect line. The Hamiltonian is\nstill changed locally in selected sites where we wish to realize this anyon\nsymmetry. We refer to these selected sites as defect sites in analogy with the\nusual lattice defects. The operators on the defect sites condense dyons of the\ntoric code and are shown to support states which obey the fusion rules of Ising\nanyons just as the lattice dislocations thus achieving the transition to the\nIsing phase from the toric code phase. They can also be introduced in an entire\nregion leading to an idea of non-localized defects. The method leads to a\nnatural generalization for other Abelian groups where they help realize all the\nanyon exchange symmetries locally.\n