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Topological Quantum Computing
Open Quantum Systems Decoherence
Quantum Simulation
Topological Classificaton of Non-Hermitian Gapless Phases: Exceptional Points and Bulk Fermi Arcs
arXiv
Authors: Takumi Bessho, Kohei Kawabata, Masatoshi Sato
Year
2019
Paper ID
14665
Status
Preprint
Abstract Read
~2 min
Abstract Words
78
Citations
N/A
Abstract
We provide classification of gapless phases in non-Hermitian systems according to two types of complex-energy gaps: point gap and line gap. We show that exceptional points, at which not only eigenenergies but also eigenstates coalesce, are characterized by gap closing of point gaps with nontrivial topological charges. Moreover, we find that bulk Fermi arcs accompanying exceptional points are robust because of topological charges for real line gaps. On the basis of the classification, some examples are also discussed.
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- This paper contributes to the Quantum Simulation research area in the Quantum Articles archive.
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- We provide classification of gapless phases in non-Hermitian systems according to two types of complex-energy gaps: point gap and line gap.
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