Entanglement in BF theory II: Edge-modes
We consider the entanglement entropy arising from edge-modes in Abelian $ p $-form
topological field theories in $ d $ dimensions on arbitrary spatial topology and across …
topological field theories in $ d $ dimensions on arbitrary spatial topology and across …
Disentangling modular Walker-Wang models via fermionic invertible boundaries
A Bauer - Physical Review B, 2023 - APS
Walker-Wang models are fixed-point models of topological order in 3+ 1 dimensions
constructed from a braided fusion category. For a modular input category M, the model itself …
constructed from a braided fusion category. For a modular input category M, the model itself …
Dualities between 2+ 1d fusion surface models from braided fusion categories
L Eck - arxiv preprint arxiv:2501.14722, 2025 - arxiv.org
Fusion surface models generalize the concept of anyon chains to 2+ 1 dimensions, utilizing
fusion 2-categories as their input. We investigate bond-algebraic dualities in these systems …
fusion 2-categories as their input. We investigate bond-algebraic dualities in these systems …
topologically ordered phases on a simple hyperbolic lattice
H Ebisu, B Han - Physical Review Research, 2022 - APS
In this paper, we consider 2D Z 2 topologically ordered phases (Z 2 toric code and the
modified surface code) on a simple hyperbolic lattice. Introducing a 2D lattice consisting of …
modified surface code) on a simple hyperbolic lattice. Introducing a 2D lattice consisting of …
Topological order at finite temperature in string-net and quantum double models
A Ritz-Zwilling - 2024 - theses.hal.science
Topological order is a special kind of quantum order which appears in strongly interacting
gappedquantum systems and does not admit a description by a local order parameter and …
gappedquantum systems and does not admit a description by a local order parameter and …
topologically ordered phases on a simple hyperbolic lattice
H Ebisu, B Han - arxiv preprint arxiv:2206.05762, 2022 - arxiv.org
In this work, we consider 2D $\mathbb {Z} _2 $ topologically ordered phases ($\mathbb {Z}
_2 $ toric code and the modified surface code) on a simple hyperbolic lattice. Introducing a …
_2 $ toric code and the modified surface code) on a simple hyperbolic lattice. Introducing a …
Exactly soluble models in many-body physics
S Elman - 2023 - ses.library.usyd.edu.au
Almost all phenomena in the universe are described, at the fundamental level, by quantum
manybody models. In general, however, a complete understanding of large systems with …
manybody models. In general, however, a complete understanding of large systems with …
[PDF][PDF] Topological aspects of the gapless and the gapped
E Vitouladitis - 2024 - pure.uva.nl
Theoretical physics is concerned with a mathematical description of the physical world.
Given the sheer size and complexity of the world we inhabit, it is only natural that the …
Given the sheer size and complexity of the world we inhabit, it is only natural that the …