Dynamics of generalized PT-symmetric dimers with time-periodic gain-loss
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Publication:327856
DOI10.1007/S11071-015-1996-2zbMATH Open1347.35213arXiv1412.0164OpenAlexW2963064130MaRDI QIDQ327856
Author name not available (Why is that?)
Publication date: 19 October 2016
Published in: (Search for Journal in Brave)
Abstract: A Parity-Time (PT)-symmetric system with periodically varying-in-time gain and loss modeled by two coupled Schrodinger equations (dimer) is studied. It is shown that the problem can be reduced to a perturbed pendulum-like equation. This is done by finding two constants of motion. Firstly, a generalized problem using Melnikov type analysis and topological degree arguments is studied for showing the existence of periodic (libration), shift periodic (rotation), and chaotic solutions. Then these general results are applied to the PT-symmetric dimer. It is interestingly shown that if a sufficient condition is satisfied, then rotation modes, which do not exist in the dimer with constant gain-loss, will persist. An approximate threshold for PT-broken phase corresponding to the disappearance of bounded solutions is also presented. Numerical study is presented accompanying the analytical results.
Full work available at URL: https://arxiv.org/abs/1412.0164
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