Nonlinear waves in -symmetric systems

VV Konotop, J Yang, DA Zezyulin - Reviews of Modern Physics, 2016 - APS
Recent progress on nonlinear properties of parity-time (PT)-symmetric systems is
comprehensively reviewed in this article. PT symmetry started out in non-Hermitian quantum …

Nonlinear switching and solitons in PT‐symmetric photonic systems

SV Suchkov, AA Sukhorukov, J Huang… - Laser & Photonics …, 2016 - Wiley Online Library
One of the challenges of the modern photonics is to develop all‐optical devices enabling
increased speed and energy efficiency for transmitting and processing information on an …

Nonlinear parity-time-symmetric model for constant efficiency wireless power transfer: Application to a drone-in-flight wireless charging platform

J Zhou, B Zhang, W Xiao, D Qiu… - IEEE Transactions on …, 2018 - ieeexplore.ieee.org
A major challenge for practical wireless power transfer (WPT) applications is to attain stable
power transfer with high and constant transfer efficiency under a dynamic change of …

Experimental Realization of Floquet -Symmetric Systems

M Chitsazi, H Li, FM Ellis, T Kottos - Physical review letters, 2017 - APS
We provide an experimental framework where periodically driven PT-symmetric systems can
be investigated. The setup, consisting of two ultra high frequency oscillators coupled by a …

Dimer with gain and loss: Integrability and-symmetry restoration

IV Barashenkov, DE Pelinovsky… - Journal of Physics A …, 2015 - iopscience.iop.org
Abstract A ${\mathcal {P}}{\mathcal {T}} $-symmetric nonlinear Schrödinger dimer is a two-
site discrete nonlinear Schrödinger equation with one site losing and the other one gaining …

An exactly solvable -symmetric dimer from a Hamiltonian system of nonlinear oscillators with gain and loss

IV Barashenkov, M Gianfreda - arXiv preprint arXiv:1405.3588, 2014 - arxiv.org
We show that a pair of coupled nonlinear oscillators, of which one oscillator has positive and
the other one negative damping of equal rate, can form a Hamiltonian system. Small …

Coupled oscillator systems having partial symmetry

A Beygi, SP Klevansky, CM Bender - Physical Review A, 2015 - APS
This paper examines chains of N coupled harmonic oscillators. In isolation, the j th oscillator
(1≤ j≤ N) has the natural frequency ω j and is described by the Hamiltonian 1 2 pj 2+ 1 2 ω …

Systems of coupled -symmetric oscillators

CM Bender, M Gianfreda, SP Klevansky - Physical Review A, 2014 - APS
The Hamiltonian for a PT-symmetric chain of coupled oscillators is constructed. It is shown
that if the loss-gain parameter γ is uniform for all oscillators, then as the number of oscillators …

Hamiltonian formulation of the standard -symmetric nonlinear Schrödinger dimer

IV Barashenkov - Physical Review A, 2014 - APS
The standard PT-symmetric dimer is a linearly coupled two-site discrete nonlinear
Schrödinger equation with one site losing and the other one gaining energy at the same …

A review: Rise of PT-symmetry for laser applications

S Praveena, K Senthilnathan - Optik, 2023 - Elsevier
In quantum mechanics, with the groundbreaking discovery of parity-time symmetry (PT-
symmetry), Bender and Boettcher unfold the nature of the non-Hermitian Hamiltonian to …