Nonlinear Anti-(Parity-Time) Symmetric Dimer
Abstract
In the present work we propose a nonlinear anti- -symmetric dimer, that at the linear level has been experimentally created in the realm of electric circuit resonators. We find four families of solutions, the so-called upper and lower branches, both in a symmetric and in an asymmetric (symmetry-broken) form. We unveil analytically and confirm numerically the critical thresholds for the existence of such branches and explore the bifurcations (such as saddle-node ones) that delimit their existence, as well as transcritical ones that lead to their potential exchange of stability. We find that out of the four relevant branches, only one, the upper symmetric branch, corresponds to a spectrally and dynamically robust solution. We subsequently leverage detailed direct numerical computations in order to explore the dynamics of the different states, corroborating our spectral analysis results.
- Authors:
- Publication Date:
- Research Org.:
- Los Alamos National Lab. (LANL), Los Alamos, NM (United States)
- Sponsoring Org.:
- USDOE Laboratory Directed Research and Development (LDRD) Program; Portuguese Foundation for Science and Technology (FCT); National Science Foundation (NSF); USDOE National Nuclear Security Administration (NNSA)
- OSTI Identifier:
- 1864885
- Alternate Identifier(s):
- OSTI ID: 1876816
- Report Number(s):
- LA-UR-22-20440
Journal ID: ISSN 2296-424X; 865910
- Grant/Contract Number:
- 89233218CNA000001; UIDB/04650/2020; PHY-2110030; DMS-1809074; UIDB/00618/2020; AC52-06NA25396
- Resource Type:
- Published Article
- Journal Name:
- Frontiers in Physics
- Additional Journal Information:
- Journal Name: Frontiers in Physics Journal Volume: 10; Journal ID: ISSN 2296-424X
- Publisher:
- Frontiers Media SA
- Country of Publication:
- Switzerland
- Language:
- English
- Subject:
- 71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; mathematics; anti-parity-time symmetry; nonlinearity; dimer; stability; symmetry breaking
Citation Formats
Rodrigues, A. S., Ross, R. M., Konotop, V. V., Saxena, A., and Kevrekidis, P. G. Nonlinear Anti-(Parity-Time) Symmetric Dimer. Switzerland: N. p., 2022.
Web. doi:10.3389/fphy.2022.865910.
Rodrigues, A. S., Ross, R. M., Konotop, V. V., Saxena, A., & Kevrekidis, P. G. Nonlinear Anti-(Parity-Time) Symmetric Dimer. Switzerland. https://doi.org/10.3389/fphy.2022.865910
Rodrigues, A. S., Ross, R. M., Konotop, V. V., Saxena, A., and Kevrekidis, P. G. Tue .
"Nonlinear Anti-(Parity-Time) Symmetric Dimer". Switzerland. https://doi.org/10.3389/fphy.2022.865910.
@article{osti_1864885,
title = {Nonlinear Anti-(Parity-Time) Symmetric Dimer},
author = {Rodrigues, A. S. and Ross, R. M. and Konotop, V. V. and Saxena, A. and Kevrekidis, P. G.},
abstractNote = {In the present work we propose a nonlinear anti- P T -symmetric dimer, that at the linear level has been experimentally created in the realm of electric circuit resonators. We find four families of solutions, the so-called upper and lower branches, both in a symmetric and in an asymmetric (symmetry-broken) form. We unveil analytically and confirm numerically the critical thresholds for the existence of such branches and explore the bifurcations (such as saddle-node ones) that delimit their existence, as well as transcritical ones that lead to their potential exchange of stability. We find that out of the four relevant branches, only one, the upper symmetric branch, corresponds to a spectrally and dynamically robust solution. We subsequently leverage detailed direct numerical computations in order to explore the dynamics of the different states, corroborating our spectral analysis results.},
doi = {10.3389/fphy.2022.865910},
journal = {Frontiers in Physics},
number = ,
volume = 10,
place = {Switzerland},
year = {Tue Apr 26 00:00:00 EDT 2022},
month = {Tue Apr 26 00:00:00 EDT 2022}
}
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https://doi.org/10.3389/fphy.2022.865910
https://doi.org/10.3389/fphy.2022.865910
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