2 citations · 7 across the 16 of their papers we have counts for
17 papers
From Bellissard's gap labeling to atomistic quasiperiodic bilayers
Thomas D. Kühne, Vladislav Efremkin, Emil Prodan
Bellissard's framework uses covariant observables to describe aperiodic solids. We examine how butterfly-like spectra in twisted bilayers can be related to bulk gap labels and topo…
The Full Set of KMS-States for Abelian Kitaev Models
Danilo Polo Ojito, Emil Prodan
We first prove that the subalgebra generated by the vertex and face operators of an abelian Kitaev model is a -diagonal of the UHF algebra of qu…
Topological Obstructions in Quantum Adiabatic Algorithms
Prathamesh S. Joshi, Emil Prodan
We point out that, when an optimization problem has more than one solution, the quantum adiabatic algorithms (QAA) encounter topological obstructions leading to adiabatic spectral…
On a C*-Diagonal Generated by the Toric Code
Danilo Polo Ojito, Emil Prodan
We study the abelian sub-C*-algebra of the CAR algebra generated by the start and face opertors of Kitaev's toric code. We show that it is a C*-diagonal equivalent to the canonical…
A Universal Chern Model on Arbitrary Triangulations
Nigel Higson, Emil Prodan
Given a triangulation of a closed orientable surface, we place single-mode resonators or single-orbital artificial atoms at its vertices, edges and facets, and we devise near-neigh…
On Frustration-Free Quantum Spin Models
Danilo Polo Ojito, Emil Prodan, Tom Stoiber
The goal of our work is to characterize the landscape of the frustration-free quantum spin models over the Cayley graph of a finitely generated group G. This is achieved by establi…