Breathers in PT-symmetric optical couplers

I. V. Barashenkov; Sergey V. Suchkov; Andrey A. Sukhorukov; Sergey V. Dmitriev; Yuri S. Kivshar

doi:10.1103/PhysRevA.86.053809

Breathers in PT-symmetric optical couplers

I. V. Barashenkov^*, Sergey V. Suchkov, Andrey A. Sukhorukov, Sergey V. Dmitriev, Yuri S. Kivshar

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

112 Citations (Scopus)

Abstract

We show that parity-time- (PT-) symmetric coupled optical waveguides with gain and loss support localized oscillatory structures similar to the breathers of the classical φ4 model. The power carried by the PT breather oscillates periodically, switching back and forth between the waveguides, so that the gain and loss are compensated on the average. The breathers are found to coexist with solitons and to be prevalent in the products of the soliton collisions. We demonstrate that the evolution of a small-amplitude breather's envelope is governed by a system of two coupled nonlinear Schrödinger equations and employ this Hamiltonian system to show that small-amplitude PT breathers are stable.

Original language	English
Article number	053809
Journal	Physical Review A - Atomic, Molecular, and Optical Physics
Volume	86
Issue number	5
DOIs	https://doi.org/10.1103/PhysRevA.86.053809
Publication status	Published - 7 Nov 2012

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title = "Breathers in PT-symmetric optical couplers",

abstract = "We show that parity-time- (PT-) symmetric coupled optical waveguides with gain and loss support localized oscillatory structures similar to the breathers of the classical φ4 model. The power carried by the PT breather oscillates periodically, switching back and forth between the waveguides, so that the gain and loss are compensated on the average. The breathers are found to coexist with solitons and to be prevalent in the products of the soliton collisions. We demonstrate that the evolution of a small-amplitude breather's envelope is governed by a system of two coupled nonlinear Schr{\"o}dinger equations and employ this Hamiltonian system to show that small-amplitude PT breathers are stable.",

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AU - Barashenkov, I. V.

AU - Suchkov, Sergey V.

AU - Sukhorukov, Andrey A.

AU - Dmitriev, Sergey V.

AU - Kivshar, Yuri S.

PY - 2012/11/7

Y1 - 2012/11/7

N2 - We show that parity-time- (PT-) symmetric coupled optical waveguides with gain and loss support localized oscillatory structures similar to the breathers of the classical φ4 model. The power carried by the PT breather oscillates periodically, switching back and forth between the waveguides, so that the gain and loss are compensated on the average. The breathers are found to coexist with solitons and to be prevalent in the products of the soliton collisions. We demonstrate that the evolution of a small-amplitude breather's envelope is governed by a system of two coupled nonlinear Schrödinger equations and employ this Hamiltonian system to show that small-amplitude PT breathers are stable.

AB - We show that parity-time- (PT-) symmetric coupled optical waveguides with gain and loss support localized oscillatory structures similar to the breathers of the classical φ4 model. The power carried by the PT breather oscillates periodically, switching back and forth between the waveguides, so that the gain and loss are compensated on the average. The breathers are found to coexist with solitons and to be prevalent in the products of the soliton collisions. We demonstrate that the evolution of a small-amplitude breather's envelope is governed by a system of two coupled nonlinear Schrödinger equations and employ this Hamiltonian system to show that small-amplitude PT breathers are stable.

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DO - 10.1103/PhysRevA.86.053809

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JO - Physical Review A - Atomic, Molecular, and Optical Physics

JF - Physical Review A - Atomic, Molecular, and Optical Physics

IS - 5

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ER -

Breathers in PT-symmetric optical couplers

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