Non-Hermitian trimers: PT-symmetry versus pseudo-Hermiticity

Sergey V Suchkov; Fernande Fotsa-Ngaffo; Aurelien Kenfack-Jiotsa; Arnaud D Tikeng; Timoleon C Kofane; Yuri S Kivshar; Andrey A Sukhorukov

doi:10.1088/1367-2630/18/6/065005

New Journal of Physics (Jan 2016)

Non-Hermitian trimers: PT-symmetry versus pseudo-Hermiticity

Sergey V Suchkov,
Fernande Fotsa-Ngaffo,
Aurelien Kenfack-Jiotsa,
Arnaud D Tikeng,
Timoleon C Kofane,
Yuri S Kivshar,
Andrey A Sukhorukov

Affiliations

Sergey V Suchkov: Nonlinear Physics Centre, Research School of Physics and Engineering, The Australian National University , Canberra ACT 2601, Australia
Fernande Fotsa-Ngaffo: Department of Physics, Faculty of Science, University of Buea , PO Box 63, Buea, Cameroon; Institute of Wood Technologies, University of Yaounde I , PO Box 306 Mbalmayo, Cameroon; Nonlinear Physics and Complex Systems Group, Department of Physics, The Higher Teachers’ Training College, University of Yaounde I , PO Box 47 Yaounde, Cameroon
Aurelien Kenfack-Jiotsa: Nonlinear Physics and Complex Systems Group, Department of Physics, The Higher Teachers’ Training College, University of Yaounde I , PO Box 47 Yaounde, Cameroon
Arnaud D Tikeng: Nonlinear Physics and Complex Systems Group, Department of Physics, The Higher Teachers’ Training College, University of Yaounde I , PO Box 47 Yaounde, Cameroon; Laboratory of Mechanics, Department of Physics, Faculty of Science, University of Yaounde I , PO Box 812, Yaounde and African Center of Excellence in ICT (CETIC), ENSP, UY1, Yaounde, Cameroon
Timoleon C Kofane: Nonlinear Physics and Complex Systems Group, Department of Physics, The Higher Teachers’ Training College, University of Yaounde I , PO Box 47 Yaounde, Cameroon; Laboratory of Mechanics, Department of Physics, Faculty of Science, University of Yaounde I , PO Box 812, Yaounde and African Center of Excellence in ICT (CETIC), ENSP, UY1, Yaounde, Cameroon
Yuri S Kivshar: Nonlinear Physics Centre, Research School of Physics and Engineering, The Australian National University , Canberra ACT 2601, Australia
Andrey A Sukhorukov: Nonlinear Physics Centre, Research School of Physics and Engineering, The Australian National University , Canberra ACT 2601, Australia

DOI: https://doi.org/10.1088/1367-2630/18/6/065005
Journal volume & issue: Vol. 18, no. 6
p. 065005

Abstract

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We study a structure composed of three coupled waveguides with gain and loss, a non-Hermitian trimer. We demonstrate that the mode spectrum can be entirely real if the waveguides are placed in a special order and at certain distances between each other. Such structures generally lack a spatial symmetry, in contrast to parity-time symmetric trimers which are known to feature a real spectrum. We also determine a threshold for wave amplification and analyse the scattering properties of such non-conservative systems embedded into a chain of conservative waveguides.

Published in New Journal of Physics

ISSN: 1367-2630 (Online)
Publisher: IOP Publishing
Country of publisher: United Kingdom
LCC subjects: Science: Physics
Website: https://iopscience.iop.org/journal/1367-2630

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