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- W3033882014 abstract "The Bernard-LeClair (BL) symmetry classes generalize the Altland-Zirnbauer classes in the absence of Hermiticity. Within the BL scheme, time-reversal and particle-hole symmetry come in two flavors, and ``pseudo-Hermiticity'' generalizes Hermiticity. We propose that these symmetries are relevant for the topological classification of non-Hermitian single-particle Hamiltonians and Hermitian bosonic Bogoliubov--de Gennes (BdG) models. We show that the spectrum of any Hermitian bosonic BdG Hamiltonian is found by solving for the eigenvalues of a non-Hermitian matrix which belongs to one of the BL classes. We therefore suggest that bosonic BdG Hamiltonians inherit the topological properties of a non-Hermitian symmetry class and explore the consequences by studying symmetry-protected edge instabilities in a one-dimensional system." @default.
- W3033882014 created "2020-06-12" @default.
- W3033882014 creator A5024078437 @default.
- W3033882014 date "2019-01-01" @default.
- W3033882014 modified "2023-09-26" @default.
- W3033882014 title "Topological symmetry classes for non-Hermitian models and connections to the bosonic Bogoliubov-de Gennes equation" @default.
- W3033882014 hasPublicationYear "2019" @default.
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