https://doi.org/10.1140/epjb/s10051-023-00518-x
Regular Article - Statistical and Nonlinear Physics
A generalized nonlinear cubic-quartic Schrodinger equation and its implications in quantum wire
1
Faculty of Engineering, Center of Excellence in Quantum Technology, Chiang Mai University, 50200, Chiang Mai, Thailand
2
Quantum-Atom Optics Laboratory and Research Center for Quantum Technology, Faculty of Science, Chiang Mai University, 50200, Chiang Mai, Thailand
3
Department of Physics and Materials Science, Faculty of Science, Chiang Mai University, 50200, Chiang Mai, Thailand
a el-nabulsi@atiner.gr, nabulsiahmadrami@yahoo.fr
Received:
2
November
2022
Accepted:
5
April
2023
Published online:
3
May
2023
In this communication, we have constructed a generalized nonlinear Schrödinger equation based on nonlocal quantum momentum square operator. Single and bright singular combo solitons solutions have been obtained from quantum arguments. This study proves that solitons may be used to study nonlinear effects in nonlocal nonlinear media including nonlinear optics. Besides, it was observed that, near metal surface a quantum wire is governed, for particular kernels, by single electron symmetric soliton or a bright singular combo soliton depending on the nature of the potential energy originating from interaction of the electron with image charges in a quantum wire. These features are comparable to those soliton solutions arising in quantum optics and Bose–Einstein condensation.
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© The Author(s), under exclusive licence to EDP Sciences, SIF and Springer-Verlag GmbH Germany, part of Springer Nature 2023. Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.
