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Topological Quantum Computing
Open Quantum Systems Decoherence
Quantum Simulation
Topological modes and spectral flows in inhomogeneous PT-symmetric continuous media
arXiv
Authors: Yichen Fu, Hong Qin
Year
2023
Paper ID
54718
Status
Preprint
Abstract Read
~2 min
Abstract Words
87
Citations
N/A
Abstract
In classical Hermitian continuous media, the spectral-flow index of topological modes is linked to the bulk topology via index theorem. However, the interface between two bulks is usually non-Hermitian due to the inhomogeneities of system parameters. We show that the connection between topological modes and bulk topology still exists despite the non-Hermiticity at the interface if the system is endowed with PT symmetry. The theoretical framework developed is applied to the Hall magnetohydrodynamic model to identify a topological mode called topological Alfvén-sound wave in magnetized plasmas.
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- This paper contributes to the Quantum Simulation research area in the Quantum Articles archive.
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- In classical Hermitian continuous media, the spectral-flow index of topological modes is linked to the bulk topology via index theorem.
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