Nonlinear modes in the harmonic PT-symmetric potential

Details Nonlinear modes in the harmonic PT-symmetric potential Nonlinear modes in the harmonic PT-symmetric potential

2012-01-31

arxiv.org/abs/1201.6638v2

Physical Review A 85, 043840 (2012)

Nonlinear Sciences

Pattern Formation and Solitons

7 pages, 2 figures; accepted to Phys. Rev. A

Scientific paper

10.1103/PhysRevA.85.043840

We study the families of nonlinear modes described by the nonlinear Schr\"odinger equation with the PT-symmetric harmonic potential $x^2-2i\alpha x$. The found nonlinear modes display a number of interesting features. In particular, we have observed that the modes, bifurcating from the different eigenstates of the underlying linear problem, can actually belong to the same family of nonlinear modes. We also show that by proper adjustment of the coefficient $\alpha$ it is possible to enhance stability of small-amplitude and strongly nonlinear modes comparing to the well-studied case of the real harmonic potential.

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