2016/11/30 by S. Lin, Z. Song
Mathematics · Physics and Astronomy · #Eigenvalues and eigenvectors #Geometry #Hamiltonian (control theory) #Hermitian function #Hermitian manifold #Hermitian matrix #Hermitian symmetric space #Mathematical physics #Mathematics #Physics #Quantum Mechanics and Non-Hermitian Physics #Quantum chaos and dynamical systems #Quantum mechanics #quant-ph
paper · pdf · doi:10.1103/physreva.96.052121
published as Phys. Rev. A 96, 052121 (2017)
openalex publication_date 2017/11/17 · openalex created_date 2017/12/04 · arxiv created 2017/12/11 · arxiv updated 2017/12/12 · openalex updated_date 2026/08/05
We establish a connection between an arbitrary Hermitian tight-binding model with chiral (C) symmetry and its non-Hermitian counterpart with chiral-time (CT) symmetry. We show that such a non-Hermitian Hamiltonian is pseudo-Hermitian. The eigenvalues and eigenvectors of the non-Hermitian Hamiltonian can be easily obtained from those of its parent Hermitian Hamiltonian. It provides a way to generate a class of non-Hermitian models with a tunable full real band structure by means of additional imaginary potentials. We also present an illustrative example that could achieve a cone structure from the energy band of a two-layer Hermitian square lattice model.