Binary parity-time-symmetric nonlinear lattices with balanced gain and loss

Dmitriev, Sergey V.; Sukhorukov, Andrey A.; Kivshar, Yuri S.

doi:10.1364/ol.35.002976

Cited by 145 publications

(141 citation statements)

References 13 publications

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“…Unbroken PT -symmetry, that is, a purely real eigenvalue spectrum, can be achieved only in lattices with d a ¼ d b and an inhomogeneous inter-site coupling 25,26 .…”

Section: Resultsmentioning

confidence: 99%

Mobility transition from ballistic to diffusive transport in non-Hermitian lattices

et al. 2013

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Within all physical disciplines, it is accepted that wave transport is predetermined by the existence of disorder. In this vein, it is known that ballistic transport is possible only when a structure is ordered, and that disorder is crucial for diffusion or (Anderson-)localization to occur. As this commonly accepted picture is based on the very foundations of quantum mechanics where Hermiticity of the Hamiltonian is naturally assumed, the question arises whether these concepts of transport hold true within the more general context of nonHermitian systems. Here we demonstrate theoretically and experimentally that in ordered time-independent PT -symmetric systems, which are symmetric under space-time reflection, wave transport can undergo a sudden change from ballistic to diffusive after a specific point in time. This transition as well as the diffusive transport in general is impossible in Hermitian systems in the absence of disorder. In contrast, we find that this transition depends only on the degree of dissipation.

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“…Unbroken PT -symmetry, that is, a purely real eigenvalue spectrum, can be achieved only in lattices with d a ¼ d b and an inhomogeneous inter-site coupling 25,26 .…”

Section: Resultsmentioning

confidence: 99%

Mobility transition from ballistic to diffusive transport in non-Hermitian lattices

et al. 2013

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“…(Similar studies have been done for PTsymmetric arrays of optical waveguides with loss and gain [22,23].) We have implemented PT -symmetry by arranging the oscillators so that loss and gain are balanced pairwise.…”

Section: Brief Concluding Remarksmentioning

confidence: 94%

Systems of coupledPT-symmetric oscillators

2014

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The Hamiltonian for a PT -symmetric chain of coupled oscillators is constructed. It is shown that if the loss-gain parameter γ is uniform for all oscillators, then as the number of oscillators increases, the region of unbroken PT -symmetry disappears entirely. However, if γ is localized in the sense that it decreases for more distant oscillators, then the unbroken-PT -symmetric region persists even as the number of oscillators approaches infinity. In the continuum limit the oscillator system is described by a PT -symmetric pair of wave equations, and a localized loss-gain impurity leads to a pseudo-bound state. It is also shown that a planar configuration of coupled oscillators can have multiple disconnected regions of unbroken PT symmetry.

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“…Furthermore, the questions of existence, stability and dynamical behavior of light in a finite chain of waveguides with alternating gain and loss have been addressed in Refs. [26,63,78]. In Ref.…”

Section: Multicore Fibersmentioning

confidence: 99%

Nonlinear switching and solitons in PT‐symmetric photonic systems

Suchkov

Sukhorukov

Huang

et al. 2016

Laser & Photonics Reviews

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352

263

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One of the challenges of the modern photonics is to develop all-optical devices enabling increased speed and energy efficiency for transmitting and processing information on an optical chip. It is believed that the recently suggested ParityTime (PT) symmetric photonic systems with alternating regions of gain and loss can bring novel functionalities. In such systems, losses are as important as gain and, depending on the structural parameters, gain compensates losses. Generally, PT systems demonstrate nontrivial non-conservative wave interactions and phase transitions, which can be employed for signal filtering and switching, opening new prospects for active control of light. In this review, we discuss a broad range of problems involving nonlinear PT-symmetric photonic systems with an intensitydependent refractive index. Nonlinearity in such PT symmetric systems provides a basis for many effects such as the formation of localized modes, nonlinearly-induced PT-symmetry breaking, and all-optical switching. Nonlinear PT-symmetric systems can serve as powerful building blocks for the development of novel photonic devices targeting an active light control.

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Binary parity-time-symmetric nonlinear lattices with balanced gain and loss

Cited by 145 publications

References 13 publications

Mobility transition from ballistic to diffusive transport in non-Hermitian lattices

Mobility transition from ballistic to diffusive transport in non-Hermitian lattices

Systems of coupledPT-symmetric oscillators

Nonlinear switching and solitons in PT‐symmetric photonic systems

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