Optical solitons in $\mathcal{PT}$-symmetric nonlinear couplers with gain and loss

Optical solitons in $PT$ -symmetric nonlinear couplers with gain and loss

N. V. Alexeeva, I. V. Barashenkov, Andrey A. Sukhorukov, and Yuri S. Kivshar

Phys. Rev. A 85, 063837 – Published 28 June 2012

Abstract

We study spatial and temporal solitons in the $PT$ symmetric coupler with gain in one waveguide and loss in the other. Stability properties of the high- and low-frequency solitons are found to be completely determined by a single combination of the soliton's amplitude and the gain-loss coefficient of the waveguides. The unstable perturbations of the high-frequency soliton break the symmetry between its active and lossy components which results in a blowup of the soliton or a formation of a long-lived breather state. The unstable perturbations of the low-frequency soliton separate its two components in space, thereby blocking the power drainage of the active component and cutting the power supply to the lossy one. Eventually this also leads to the blowup or breathing.

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Received 18 May 2012

DOI:https://doi.org/10.1103/PhysRevA.85.063837

Authors & Affiliations

N. V. Alexeeva^*, I. V. Barashenkov^†, Andrey A. Sukhorukov, and Yuri S. Kivshar

Nonlinear Physics Centre, Australian National University, Canberra ACT 0200, Australia

^*On sabbatical leave from the Department of Mathematics, University of Cape Town, Rondebosch 7701, South Africa.
^†On sabbatical leave from the Department of Mathematics, University of Cape Town, South Africa; also at the Joint Institute for Nuclear Research, Dubna, Russia.

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Vol. 85, Iss. 6 — June 2012

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Physical Review A

covering atomic, molecular, and optical physics and quantum information

Optical solitons in $PT$ -symmetric nonlinear couplers with gain and loss

N. V. Alexeeva, I. V. Barashenkov, Andrey A. Sukhorukov, and Yuri S. Kivshar

Phys. Rev. A 85, 063837 – Published 28 June 2012

Abstract

Authors & Affiliations

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Physical Review A

covering atomic, molecular, and optical physics and quantum information

Optical solitons in PT-symmetric nonlinear couplers with gain and loss

N. V. Alexeeva, I. V. Barashenkov, Andrey A. Sukhorukov, and Yuri S. Kivshar

Phys. Rev. A 85, 063837 – Published 28 June 2012

Abstract

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Optical solitons in $PT$ -symmetric nonlinear couplers with gain and loss