25 citations · 25 across the 1 of their papers we have counts for
6 papers
Gauging Defects in Quantum Spin Systems
Jacob C. Bridgeman, Alexander Hahn, Tobias J. Osborne +1
The goal of this work is to build a dynamical theory of defects for quantum spin systems. A kinematic theory for an indefinite number of defects is first introduced exploiting dist…
Computing data for Levin-Wen with defects
Jacob C. Bridgeman, Daniel Barter
We demonstrate how to do many computations for non-chiral topological phases with defects. These defects may be 1-dimensional domain walls or 0-dimensional point defects. Using $\o…
Computing Defects Associated to Bounded Domain Wall Structures: The Case
Jacob C. Bridgeman, Daniel Barter
A domain wall structure consists of a planar graph with faces labeled by fusion categories/topological phases. Edges are labeled by bimodules/domain walls. When the vertices are la…
Fusing Binary Interface Defects in Topological Phases: The case
Jacob C. Bridgeman, Daniel Barter, Corey Jones
A binary interface defect is any interface between two (not necessarily invertible) domain walls. We compute all possible binary interface defects in Kitaev's $\mathbb{Z}/p\mathbb{…
Domain walls in topological phases and the Brauer-Picard ring for
Daniel Barter, Jacob C. Bridgeman, Corey Jones
We show how to calculate the relative tensor product of bimodule categories (not necessarily invertible) using ladder string diagrams. As an illustrative example, we compute the Br…
Tensor Networks with a Twist: Anyon-permuting domain walls and defects in PEPS
Jacob C. Bridgeman, Stephen D. Bartlett, Andrew C. Doherty
We study the realization of anyon-permuting symmetries of topological phases on the lattice using tensor networks. Working on the virtual level of a projected entangled pair state,…