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Quantum anomaly, non-Hermitian skin effects, and entanglement entropy in open systems
Nobuyuki Okuma, Masatoshi Sato
We investigate the roles of non-Hermitian topology in spectral properties and entanglement structures of open systems. In terms of spectral theory, we give a unified understanding…
Non-Hermitian Skin Effects in Hermitian Correlated/Disordered Systems: Boundary-Sensitive/Insensitive Quantities and Pseudo Quantum Number
Nobuyuki Okuma, Masatoshi Sato
There is a common belief in the condensed matter community that bulk quantities become insensitive to the boundary condition in the infinite-volume limit. Here we reconsider this s…
Hermitian zero modes protected by nonnormality: Application of pseudospectra
Nobuyuki Okuma, Masatoshi Sato
Recently, it was established that there exists a direct relation between the non-Hermitian skin effects, -strong dependence of spectra on boundary conditions for non-Hermitian Hami…
Non-Bloch band theory of non-Hermitian Hamiltonians in the symplectic class
Kohei Kawabata, Nobuyuki Okuma, Masatoshi Sato
Non-Hermitian Hamiltonians are generally sensitive to boundary conditions, and their spectra and wave functions under open boundary conditions are not necessarily predicted by the…