Gain-Driven Discrete Breathers in PT-Symmetric Nonlinear Metamaterials

Abstract

We introduce a one dimensional parity-time (PT)-symmetric nonlinear magnetic metamaterial consisted of split ring dimers having both gain and loss. When nonlinearity is absent we find a transition between an exact to a broken PT-phase; in the former the system features a two band gapped spectrum with shape determined by the gain and loss coefficients as well as the inter-unit coupling. In the presence of nonlinearity we show numerically that as a result of the gain/dissipation matching a novel type of long-lived stable discrete breathers can form below the lower branch of the band with no attenuation. In these localized modes the energy is almost equally partitioned between two adjacent split rings on the one with gain and the other one with loss.

5 pages, 7 figures

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• PT-Symmetric Dimer of Coupled Nonlinear Oscillators
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• Optical solitons in media with focusing and defocusing saturable nonlinearity and a parity-time-symmetric external potential
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• Spinor solitons and their $\mathcal{P}\mathcal{T}$-symmetric offspring
• Quantum parameter estimation of non-Hermitian systems with optimal measurements
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• Pseudo-Hermitian Topology of Multiband Non-Hermitian Systems
• Non-Hermitian physics and engineering in silicon photonics
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• Spectral stability of bi-frequency solitary waves in Soler and Dirac--Klein--Gordon models
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• Nonreciprocal Scattering by PT-symmetric stack of the layers
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• Genetic optimization Invents non-Hermitian potentials for Asymmetric Reflectivity
• Extreme events in the Lienard system with asymmetric potential: An in-depth exploration