Year: 2012
Type: article
Abstract: We study the families of nonlinear modes described by the nonlinear Schr\"odinger equation with the $\mathcal{PT}$-symmetric harmonic potential ${x}^{2}\ensuremath{-}2i\ensuremath{\alpha}x$. The nonlinear modes found display a number of interesting features. In particular, we have observed that modes bifurcating from 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 $\ensuremath{\alpha}$ it is possible to enhance the stability of small-amplitude and strongly nonlinear modes compared to the well-studied case of the real harmonic potential.
Source: Physical Review A
Authors: Dmitry A. Zezyulin, Vladimir V. Konotop
Language: English
Subfield: Atomic and Molecular Physics, and Optics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W1971812420