Nonlinear Anti-(Parity-Time) Symmetric Dimer

• Type: Article in International Scientific Journal
• Date: 2022

Authors

Rodrigues, AS (Author) FCUP; Ross, RM (Author) Other; Konotop, VV (Author) Other; Saxena, A (Author) Other; Kevrekidis, PG (Author) Other

Journal

The Journal is awaiting validation by the Administrative Services.

Title: Frontiers in Physics

Vol. 10

ISSN: 2296-424X

Indexing

ISI Web of Knowledge - 0 Citations

Scopus

Other information

Authenticus ID: P-00W-K7F

DOI: 10.3389/fphy.2022.865910

Abstract (EN): In the present work we propose a nonlinear anti- (Formula presented.) -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. Copyright © 2022 Rodrigues, Ross, Konotop, Saxena and Kevrekidis.

Language: English

Type (Professor's evaluation): Scientific

No. of pages: 11