Pseudo-Hermitian Hamiltonians generating waveguide mode evolution

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...

Full description

Saved in:
Bibliographic Details
Main Authors: Chen, Penghua, Chong, Yi Dong
Other Authors: School of Physical and Mathematical Sciences
Format: Article
Language:English
Published: 2018
Subjects:
General Physics
Atomic, Molecular and Optical
Online Access:https://hdl.handle.net/10356/83036
http://hdl.handle.net/10220/45040
Tags: Add Tag
No Tags, Be the first to tag this record!
Institution: Nanyang Technological University
Language: English
id sg-ntu-dr.10356-83036
record_format dspace
spelling sg-ntu-dr.10356-830362023-02-28T19:31:38Z Pseudo-Hermitian Hamiltonians generating waveguide mode evolution Chen, Penghua Chong, Yi Dong School of Physical and Mathematical Sciences Centre for Disruptive Photonic Technologies (CDPT) General Physics Atomic, Molecular and Optical 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. MOE (Min. of Education, S’pore) Published version 2018-06-28T04:10:43Z 2019-12-06T15:10:39Z 2018-06-28T04:10:43Z 2019-12-06T15:10:39Z 2017 Journal Article Chen, P., & Chong, Y. D. (2017). Pseudo-Hermitian Hamiltonians generating waveguide mode evolution. Physical Review A, 95(6), 062113-. 2469-9926 https://hdl.handle.net/10356/83036 http://hdl.handle.net/10220/45040 10.1103/PhysRevA.95.062113 en Physical Review A © 2017 American Physical Society (APS). This paper was published in Physical Review A and is made available as an electronic reprint (preprint) with permission of American Physical Society (APS). The published version is available at: [http://dx.doi.org/10.1103/PhysRevA.95.062113]. One print or electronic copy may be made for personal use only. Systematic or multiple reproduction, distribution to multiple locations via electronic or other means, duplication of any material in this paper for a fee or for commercial purposes, or modification of the content of the paper is prohibited and is subject to penalties under law. 7 p. application/pdf
institution Nanyang Technological University
building NTU Library
continent Asia
country Singapore
Singapore
content_provider NTU Library
collection DR-NTU
language English
topic General Physics
Atomic, Molecular and Optical
spellingShingle General Physics
Atomic, Molecular and Optical
Chen, Penghua
Chong, Yi Dong
Pseudo-Hermitian Hamiltonians generating waveguide mode evolution
description 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.
author2 School of Physical and Mathematical Sciences
author_facet School of Physical and Mathematical Sciences
Chen, Penghua
Chong, Yi Dong
format Article
author Chen, Penghua
Chong, Yi Dong
author_sort Chen, Penghua
title Pseudo-Hermitian Hamiltonians generating waveguide mode evolution
title_short Pseudo-Hermitian Hamiltonians generating waveguide mode evolution
title_full Pseudo-Hermitian Hamiltonians generating waveguide mode evolution
title_fullStr Pseudo-Hermitian Hamiltonians generating waveguide mode evolution
title_full_unstemmed Pseudo-Hermitian Hamiltonians generating waveguide mode evolution
title_sort pseudo-hermitian hamiltonians generating waveguide mode evolution
publishDate 2018
url https://hdl.handle.net/10356/83036
http://hdl.handle.net/10220/45040
_version_ 1759854735425273856

Similar Items