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Open Quantum Systems Decoherence

Bloch classification surface for three-band systems

arXiv
Authors: Gilles Abramovici

Year

2024

Paper ID

37508

Status

Preprint

Abstract Read

~2 min

Abstract Words

91

Citations

N/A

Abstract

Topologically protected states can be found in physical systems, that show singularities in some energy contour diagram. These singularities can be characterized by winding numbers, defined on a classification surface, which maps physical state parameters. We have found a classification surface, which applies for three-band hamiltonian systems in the same way than standard Bloch surface does for two-band ones. This generalized Bloch surface is universal in the sense that it classifies a very large class of three-band systems, which we have exhaustively studied, finding specific classification surfaces, applying for each one.

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  • This paper contributes to the Open Quantum Systems & Decoherence research area in the Quantum Articles archive.
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  • Topologically protected states can be found in physical systems, that show singularities in some energy contour diagram.

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