Quantum Entangled Fractional Topology and Curvatures
- Resource Type
- Working Paper
- Authors
- Hutchinson, Joel; Hur, Karyn Le
- Source
- Commun Phys 4, 144 (2021)
- Subject
- Condensed Matter - Mesoscale and Nanoscale Physics
Condensed Matter - Strongly Correlated Electrons
High Energy Physics - Theory
Mathematical Physics
Quantum Physics
- Language
We propose a two-spin quantum-mechanical model with applied magnetic fields acting on the Poincar\'e-Bloch sphere, to reveal a new class of topological energy bands with Chern number one half for each spin-1/2. The mechanism behind this fractional topology is a two-spin product state at the north pole and a maximally entangled state close to the south pole. The fractional Chern number of each spin can be measured through the magnetizations at the poles. We study a precise protocol where the spin dynamics in time reflects the Landau-Zener physics associated with energy band crossing effects. We show a correspondence between the two-spin system and topological bilayer models on a honeycomb lattice. These models describe semimetals with a nodal ring surrounding the region of entanglement.
Comment: Main text is 29 pages, 3 figures. Supplementary Information attached is 28 pages, 12 figures