Dark solitons and vortices in PT -symmetric nonlinear media: From spontaneous symmetry breaking to nonlinear PT phase transitions
نویسندگان
چکیده
V. Achilleos,1 P. G. Kevrekidis,2 D. J. Frantzeskakis,1 and R. Carretero-González3 1Department of Physics, University of Athens, Panepistimiopolis, Zografos, Athens 157 84, Greece 2Department of Mathematics and Statistics, University of Massachusetts, Amherst, Massachusetts 01003-4515, USA 3Nonlinear Dynamical Systems Group, Computational Sciences Research Center, and Department of Mathematics and Statistics, San Diego State University, San Diego, California 92182-7720, USA (Received 6 February 2012; revised manuscript received 10 May 2012; published 6 July 2012)
منابع مشابه
Effect of Relative Phase on the Stability of Temporal Bright Solitons in a PT- Symmetric NLDC
In this paper we numerically investigate the effect of relative phase on thestability of temporal bright solitons in a Nano PT- Symmetric nonlinear directionalcoupler (NLDC) by considering gain in bar and loss in cross. We also study the effect ofrelative phase on the output perturbed bright solitons energies, in the range of 0 to 180 . By using perturbation theory three eigenfunctions an...
متن کاملNumerical Analysis of Stability for Temporal Bright Solitons in a PT-Symmetric NLDC
PT-Symmetry is one of the interesting topics in quantum mechanics and optics. One of the demonstration of PT-Symmetric effects in optics is appeared in the nonlinear directional coupler (NLDC). In the paper we numerically investigate the stability of temporal bright solitons propagate in a PT-Symmetric NLDC by considering gain in bar and loss in cross. By using the analytical solutions of pertu...
متن کاملNonlinearly PT -symmetric systems: Spontaneous symmetry breaking and transmission resonances
We consider a class of PT -symmetric systems which include mutually matched nonlinear loss and gain (in other words, a class of PT -invariant Hamiltonians in which both the harmonic and anharmonic parts are non-Hermitian). For a basic system in the form of a dimer, symmetric and asymmetric eigenstates, including multistable ones, are found analytically. We demonstrate that, if coupled to a line...
متن کاملCan ParityTimeSymmetric Potentials Support Families of NonParityTimeSymmetric Solitons?
For the one-dimensional nonlinear Schrödinger equations with parity-time (PT) symmetric potentials, it is shown that when a real symmetric potential is perturbed by weak PT-symmetric perturbations, continuous families of asymmetric solitary waves in the real potential are destroyed. It is also shown that in the same model with a general PT-symmetric potential, symmetry breaking of PT-symmetric ...
متن کاملSolitons and Their Ghosts in PT -Symmetric Systems with Defocusing Nonlinearities
We examine a prototypical nonlinear Schrödinger model bearing a defocusing nonlinearity and Parity-Time (PT ) symmetry. For such a model, the solutions can be identified numerically and characterized in the perturbative limit of small gain/loss. There we find two fundamental phenomena. First, the dark solitons that persist in the presence of the PT -symmetric potential are destabilized via a sy...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
عنوان ژورنال:
دوره شماره
صفحات -
تاریخ انتشار 2012