Pseudo-Hermitian Hamiltonians generating waveguide mode evolution
| Autor: | Yidong Chong, Penghua Chen |
|---|---|
| Přispěvatelé: | School of Physical and Mathematical Sciences, Centre for Disruptive Photonic Technologies (CDPT) |
| Jazyk: | angličtina |
| Rok vydání: | 2017 |
| Předmět: |
Physics
General Physics Atomic Molecular and Optical FOS: Physical sciences Flux Mathematical Physics (math-ph) 01 natural sciences Hermitian matrix Symmetry (physics) 010305 fluids & plasmas Transfer (group theory) Simple (abstract algebra) Quantum mechanics 0103 physical sciences Waveguide mode 010306 general physics Eigenvalues and eigenvectors Mathematical Physics Optics (physics.optics) Multimode waveguides Physics - Optics |
| Popis: | We study the properties of Hamiltonians defined as the generators of transfer matrices in quasi- one-dimensional waveguides. For single- or multi-mode waveguides obeying flux conservation and time-reversal invariance, the Hamiltonians defined in this way are non-Hermitian, but satisfy symmetry properties that have previously been identified in the literature as "pseudo Hermiticity" and "anti-PT symmetry". We show how simple one-channel and two-channel models exhibit transitions between real, imaginary, and complex eigenvalue pairs. 7 pages, 2 figures |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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