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Quantum Simulation

Solitons in a nonlinear Schrodinger equation with PT-symmetric potentials and inhomogeneous nonlinearity: stability and excitation of nonlinear modes

arXiv
Authors: Zhenya Yan, Zichao Wen, Vladimir V. Konotop

Year

2015

Paper ID

27147

Status

Preprint

Abstract Read

~2 min

Abstract Words

103

Citations

N/A

Abstract

We report branches of explicit expressions for nonlinear modes in parity-time (PT) symmetric potentials of several types. For the single-well and double-well potentials the found solutions are two-parametric and appear to be stable even when the PT-symmetry of respective underlying linear models is broken. Based on the examples of these solutions we describe an algorithm of excitation of a stable nonlinear mode in a model, whose linear limit is unstable. The method is based on the adiabatic change of the control parameter driving the mode along a branch bifurcating from a stable linear mode. The suggested algorithm is confirmed by extensive numerical simulations.

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  • This paper contributes to the Quantum Simulation research area in the Quantum Articles archive.
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  • We report branches of explicit expressions for nonlinear modes in parity-time (PT) symmetric potentials of several types.

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References & Citation Signals

[1] DOI https://doi.org/arXiv:1509.05888 [2] arXiv https://arxiv.org/abs/1509.05888 [3] Publisher https://arxiv.org/abs/1509.05888

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