Quantum Entangled Fractional Topology and Curvatures

• URL: http://arxiv.org/abs/2002.11823v5
• Date: Fri, 2 Apr 2021 21:49:28 GMT
• Title: Quantum Entangled Fractional Topology and Curvatures
• Authors: Joel Hutchinson and Karyn Le Hur
• Abstract summary: We propose 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. We show a correspondence between the two-spin system and topological bilayer models on a honeycomb lattice.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: 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.

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