Pseudo-Hermitian Hamiltonians generating waveguide mode evolution
We study the properties of Hamiltonians defined as the generators of transfer matrices in quasi-one-dimensional waveguides. For single- or multimode waveguides obeying flux conservation and time-reversal invariance, the Hamiltonians defined in this way are non-Hermitian, but satisfy symmetry propert...
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| Main Authors: | , |
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| Other Authors: | |
| Format: | Article |
| Language: | English |
| Published: |
2018
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| Subjects: | |
| Online Access: | https://hdl.handle.net/10356/83036 http://hdl.handle.net/10220/45040 |
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| Institution: | Nanyang Technological University |
| Language: | English |
| Summary: | We study the properties of Hamiltonians defined as the generators of transfer matrices in quasi-one-dimensional waveguides. For single- or multimode 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. |
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