47 citations · 319 across the 21 of their papers we have counts for
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Stacking and the triviality of invertible phases
Sven Bachmann, Alan Getz, Pieter Naaijkens +1
We study the superselection sectors of two quantum lattice systems stacked onto each other in the operator algebraic framework. We show in particular that all irreducible sectors o…
Holography for bulk-boundary local topological order
Corey Jones, Pieter Naaijkens, David Penneys
In our previous article [arXiv:2307.12552], we introduced local topological order (LTO) axioms for quantum spin systems which allowed us to define a physical boundary (associated t…
The category of anyon sectors for non-abelian quantum double models
Alex Bols, Mahdie Hamdan, Pieter Naaijkens +1
We study Kitaev's quantum double model for arbitrary finite gauge group in infinite volume, using an operator-algebraic approach. The quantum double model hosts anyonic excitations…