Quantum Entangled Fractional Topology and Curvatures
We propose a two-spin quantum-mechanical model with applied magnetic fields acting on the Poincaré-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...
Main Authors: | , |
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Format: | Article in Journal/Newspaper |
Language: | unknown |
Published: |
arXiv
2020
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Subjects: | |
Online Access: | https://dx.doi.org/10.48550/arxiv.2002.11823 https://arxiv.org/abs/2002.11823 |
Summary: | We propose a two-spin quantum-mechanical model with applied magnetic fields acting on the Poincaré-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. : Main text is 29 pages, 3 figures. Supplementary Information attached is 28 pages, 12 figures |
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