47 citations · 72 across the 8 of their papers we have counts for
12 papers
Local topological order, Haag duality, and reflection positivity
Pieter Naaijkens, David Penneys, Daniel Wallick
In our previous article [arXiv:2307.12552], we introduced local topological order (LTO) axioms for abstract quantum spin systems which allow one to access topological order via a b…
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…
Local topological order and boundary algebras
Corey Jones, Pieter Naaijkens, David Penneys +1
We introduce a set of axioms for locally topologically ordered quantum spin systems in terms of nets of local ground state projections, and we show they are satisfied by Kitaev's T…
The split and approximate split property in 2D systems: stability and absence of superselection sectors
Pieter Naaijkens, Yoshiko Ogata
The split property of a pure state for a certain cut of a quantum spin system can be understood as the entanglement between the two subsystems being weak. From this point of view,…