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Topological Quantum Computing Open Quantum Systems Decoherence Quantum Simulation

Tolerance and breakdown of topological protection in a disordered waveguide

arXiv
Authors: Kiyanoush Goudarzi, Moonjoo Lee

Year

2023

Paper ID

54852

Status

Preprint

Abstract Read

~2 min

Abstract Words

94

Citations

N/A

Abstract

We consider a disordered waveguide consisting of trivial dielectric and non-trivial magnetically anisotropic material. A topologically-protected edge mode appears owing to the broken time-reversal symmetry of the non-trivial lattice. While the edge mode maintains under other position and radius disorders, the protection is immediately broken by applying a radius disorder to the non-trivial lattice. This breakdown originates from donor and acceptor modes occupying the topological bandgap. Furthermore, via the calculation of the Bott index, we show that Anderson localization occurs as a metal conducting gap changes to a topological gap along with increasing disorders.

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  • This paper contributes to the Quantum Simulation research area in the Quantum Articles archive.
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  • We consider a disordered waveguide consisting of trivial dielectric and non-trivial magnetically anisotropic material.

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