# Solitons in a PT-symmetric χ(2) coupler.

@article{gren2017SolitonsIA,
title={Solitons in a PT-symmetric $\chi$(2) coupler.},
author={M. {\"O}gren and Fatkhulla Kh. Abdullaev and Vladimir V. Konotop},
journal={Optics letters},
year={2017},
volume={42 20},
pages={
4079-4082
}
}
• Published 4 October 2017
• Physics
• Optics letters
We consider the existence and stability of solitons in a χ(2) coupler. Both the fundamental and second harmonics (SHs) undergo gain in one of the coupler cores and are absorbed in the other one. The gain and loss are balanced, creating a parity-time (PT) symmetric configuration. We present two types of families of PT-symmetric solitons having equal and different profiles of the fundamental and SHs. It is shown that the gain and loss can stabilize solitons. The interaction of stable solitons is…
13 Citations

## Figures from this paper

### Quantum Behavior of a PT -Symmetric Two-Mode System with Cross-Kerr Nonlinearity

• Physics
Symmetry
• 2019
Quantum behavior of two oscillator modes, with mutually balanced gain and loss and coupled via linear coupling (including energy conserving as well as energy non-conserving terms) and nonlinear

### Spatial solitons in an electrically driven graphene multilayer medium

• Physics
Scientific reports
• 2022
We investigate the evolution of coupled optical solitons in a multilayer graphene medium. The considered graphene medium is subjected to microwave voltage biasing. The coupled two optical solitons

### PT-symmetric system based optical modulator

• Physics
Applied Physics B
• 2018
This paper introduces a novel approach based on linear parity-time (PT) symmetry for realization of an optical modulator. The suggested optical modulator is attained by embedding PT-symmetric

### Nonclassical light at exceptional points of a quantum PT -symmetric two-mode system

• Physics
Physical Review A
• 2019
A two-mode optical parity-time (PT) symmetric system, with gain and damping, described by a quantum quadratic Hamiltonian with additional small Kerr-like nonlinear terms, is analyzed from the point

### Stable and oscillating solitons of $$\pmb {\mathcal {PT}}$$-symmetric couplers with gain and loss in fractional dimension

• Physics, Education
• 2021
Liangwei Zeng, 2 Jincheng Shi, Xiaowei Lu, 2, ∗ Yi Cai, 2 Qifan Zhu, 2 Hongyi Chen, 2 Hu Long, 2 and Jingzhen Li 2, † College of Physics and Optoelectronic Engineering, Shenzhen University, Shenzhen

### Coupled Nonlinear Schrödinger Equations with Gain and Loss: Modeling $$\mathcal {PT}$$ Symmetry

Coupled nonlinear Schrodinger (NLS) equations is an ubiquitous model describing wave propagation in diverse physical systems. In combination with gain and loss exactly balanced with each other, this

### On-chip magnetic-free optical multi-port circulator based on a locally linear parity-time symmetric system.

• Physics
Applied optics
• 2019
This paper introduces a new type of magnetic-free optical circulator without utilizing a Faraday rotator, polarization beam splitter, and magneto-optic material for the first time, to the best of our

### Dynamical representations of constrained multicomponent nonlinear Schrödinger equations in arbitrary dimensions

• Mathematics
ArXiv
• 2021
New approaches for solving constrained multicomponent nonlinear Schrödinger equations in arbitrary dimensions are presented and the applicability and efficiency of the methods are shown on examples of relevance in modern physics applications.

## References

SHOWING 1-10 OF 33 REFERENCES

### Stability of solitons in parity-time-symmetric couplers.

• Physics
Optics letters
• 2011
Families of analytical solutions are found for symmetric and antisymmetric solitons in a dual-core system with Kerr nonlinearity and parity-time (PT)-balanced gain and loss and a stability region is obtained in an analytical form and verified by simulations.

### PT-symmetric coupler with χ (2) nonlinearity

• Physics
• 2013
We introduce the notion of a PT -symmetric dimer with a χ(2) nonlinearity. Similarly to the Kerr case, we argue that such a nonlinearity should be accessible in a pair of optical waveguides with

### Zeno effect and switching of solitons in nonlinear couplers.

• Physics
Optics letters
• 2011
The Zeno effect is investigated for soliton type pulses in a nonlinear directional coupler with dissipation and it is shown that localized dissipation can lead to switching of solitons between the arms.

### Nonlinearly PT-symmetric systems: Spontaneous symmetry breaking and transmission resonances

• Physics
• 2011
We consider a class of $\mathcal{PT}$-symmetric systems which include mutually matched nonlinear loss and gain (in other words, a class of $\mathcal{PT}$-invariant Hamiltonians in which both the

### Four-wave mixing in a parity-time (PT)-symmetric coupler.

• Physics
Optics letters
• 2015
It is shown that unbroken PT symmetry supports the process existing in the conservative limit and, at the same time, originates new types of matching conditions, which cannot exist in theconservative system.

### Spatial optical solitons governed by quadratic nonlinearity.

• Physics
Optics letters
• 1994
It is demonstrated that a dielectric medium with purely quadratic nonlinearity can display self-focusing phenomena through a new type of modulational instability of the interacting fundamental and second-harmonic field components and therefore can support propagation of (two-wave) optical solitons.

### χ(2) cascading phenomena and their applications to all-optical signal processing, mode-locking, pulse compression and solitons

• Physics
• 1996
Cascading is the process by which the exchange of energy between optical beams interacting via second order nonlinearities (χ(2)) leads to various effects such as nonlinear phase shifts, the

### Nonlinear waves in PT -symmetric systems

• Physics
• 2016
The concept of parity-time symmetric systems is rooted in non-Hermitian quantum mechanics where complex potentials obeying this symmetry could exhibit real spectra. The concept has applications in

### Solitary waves due to ?^(2): ?^(2) cascading

• Mathematics, Physics
• 1994
Solitary waves in materials with a cascaded χ(2):χ(2) nonlinearity are investigated, and the implications of the robustness hypothesis for these solitary waves are discussed. Both temporal and