Vortex Creation without Stirring in Coupled Ring Resonators with Gain and Loss

Ramaniuk, Aleksandr; Hung, Nguyen Viet; Giersig, Michael; Kempa, Krzysztof; Konotop, Vladimir V.; Trippenbach, Marek

doi:10.3390/sym10060195

Open AccessFeature PaperArticle

Vortex Creation without Stirring in Coupled Ring Resonators with Gain and Loss

by

Aleksandr Ramaniuk

^1,*

,

Nguyen Viet Hung

²,

Michael Giersig

^3,4,

Krzysztof Kempa

⁵,

Vladimir V. Konotop

⁶

and

Marek Trippenbach

¹

Faculty of Physics, University of Warsaw, ul. Pasteura 5, PL-02-093 Warszawa, Poland

²

Advanced Institute for Science and Technology, Hanoi University of Science and Technology, 100803 Hanoi, Vietnam

³

Department of Physics, Freie Universität Berlin, Arnimalle 14, D-14195 Berlin, Germany

⁴

International Academy of Optoelectronics at Zhaoqing, South China Normal University, 526238 Guangdong, China

⁵

Department of Physics, Boston College, Chestnut Hill, MA 02467, USA

⁶

Centro de Física Teórica e Computacional and Departamento de Física, Faculdade de Ciências, Universidade de Lisboa, Campo Grande, Edifício C8, 1749-016 Lisboa, Portugal

^*

Author to whom correspondence should be addressed.

Symmetry 2018, 10(6), 195; https://doi.org/10.3390/sym10060195

Submission received: 30 April 2018 / Revised: 18 May 2018 / Accepted: 28 May 2018 / Published: 1 June 2018

(This article belongs to the Special Issue Broken Symmetry)

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Abstract

We present the study of the dynamics of a two-ring waveguide structure with space-dependent coupling, linear gain and nonlinear absorption; the system that can be implemented in polariton condensates, optical waveguides and nanocavities. We show that by turning on and off local coupling between rings, one can selectively generate a permanent vortex in one of the rings. We find that due to the modulation instability, it is also possible to observe several complex nonlinear phenomena, including spontaneous symmetry breaking, stable inhomogeneous states with an interesting structure of currents flowing between rings, the generation of stable symmetric and asymmetric circular flows with various vorticities, etc. The latter can be created in pairs (for relatively narrow coupling length) or as a single vortex in one of the channels, which later alternates between channels.

Keywords: coupled microrings; nonlinear Schrödinger equation; nonlinear modes; vortices; stability

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MDPI and ACS Style

Ramaniuk, A.; Hung, N.V.; Giersig, M.; Kempa, K.; Konotop, V.V.; Trippenbach, M. Vortex Creation without Stirring in Coupled Ring Resonators with Gain and Loss. Symmetry 2018, 10, 195. https://doi.org/10.3390/sym10060195

AMA Style

Ramaniuk A, Hung NV, Giersig M, Kempa K, Konotop VV, Trippenbach M. Vortex Creation without Stirring in Coupled Ring Resonators with Gain and Loss. Symmetry. 2018; 10(6):195. https://doi.org/10.3390/sym10060195

Chicago/Turabian Style

Ramaniuk, Aleksandr, Nguyen Viet Hung, Michael Giersig, Krzysztof Kempa, Vladimir V. Konotop, and Marek Trippenbach. 2018. "Vortex Creation without Stirring in Coupled Ring Resonators with Gain and Loss" Symmetry 10, no. 6: 195. https://doi.org/10.3390/sym10060195

APA Style

Ramaniuk, A., Hung, N. V., Giersig, M., Kempa, K., Konotop, V. V., & Trippenbach, M. (2018). Vortex Creation without Stirring in Coupled Ring Resonators with Gain and Loss. Symmetry, 10(6), 195. https://doi.org/10.3390/sym10060195

Note that from the first issue of 2016, this journal uses article numbers instead of page numbers. See further details here.

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Vortex Creation without Stirring in Coupled Ring Resonators with Gain and Loss

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