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Generating domain walls between topologically ordered phases using quantum double models
Pramod Padmanabhan, Miguel Jorge Bernabé Ferreira, Paulo Teotonio-Sobrinho
Transitions between different topologically ordered phases have been studied by artificially creating boundaries between these gapped phases and thus studying their effects relatin…
Local realizations of anyon exchange symmetries without lattice dislocations
Miguel Jorge Bernabe Ferreira, Pramod Padmanabhan, Paulo Teotonio-Sobrinho
The global - exchange symmetry of the toric code is realized locally through an exactly solvable Hamiltonian on a two dimensional lattice which has no lattice dislocations an…
Toric code-like models from the parameter space of lattice gauge theories
Miguel Jorge Bernabe Ferreira, Pramod Padmanabhan, Paulo Teotonio-Sobrinho
A state sum construction on closed manifolds á la Kuperberg can be used to construct the partition functions of lattice gauge theories based on involutory Hopf algebras, $\mat…
A Recipe for Constructing Frustration-Free Hamiltonians with Gauge and Matter Fields in One and Two Dimensions
Miguel Jorge Bernabé Ferreira, Juan Pablo Ibieta Jimenez, Pramod Padmanabhan +1
State sum constructions, such as Kuperberg's algorithm, give partition functions of physical systems, like lattice gauge theories, in various dimensions by associating local tensor…