Pseudo-Hermiticity versus PT-Symmetry II: A complete characterizatio n of non-Hermitian Hamiltonians with a real spectrum
read the original abstract
We give a necessary and sufficient condition for the reality of the spectrum of a non-Hermitian Hamiltonian admitting a complete set of biorthonormal eigenvectors.
This paper has not been read by Pith yet.
Forward citations
Cited by 5 Pith papers
-
Atiyah--Singer Index Theorem for Non-Hermitian Dirac Operators
The index of non-Hermitian Dirac operators that anticommute with a chirality operator is topologically protected when the operators are diagonalizable and elliptic.
-
Complex Wannier centers and drifting Wannier functions in non-Hermitian Hamiltonians
Complex Wannier centers derived from nonunitary Wilson loops in non-Hermitian Hamiltonians predict directional drift of Wannier functions and a bulk-boundary correspondence for filling anomalies and gain/loss in edge modes.
-
Mobility edges in pseudo-unitary quasiperiodic quantum walks
A pseudo-unitary quasiperiodic quantum walk model exhibits a novel mobility edge sharply dividing metallic and insulating phases plus a second transition unique to discrete time, with PT-symmetry breaking quantified b...
-
Generalizing quantum dimensions: Symmetry-based classification of local pseudo-Hermitian systems and the corresponding domain walls
Generalized quantum dimensions from SymTFTs classify massless and massive RG flows in pseudo-Hermitian systems and relate coset constructions to domain walls.
-
Two flavor neutrino oscillations in presence of non-Hermitian dynamics
A density matrix approach to non-Hermitian two-flavor neutrino oscillations shows steady-state probabilities not necessarily 1/2, indicating non-Markovian behavior.
discussion (0)
Sign in with ORCID, Apple, or X to comment. Anyone can read and Pith papers without signing in.