Self-Induced Diffusion in Disordered Nonlinear Photonic Media

Sharabi, Yonatan; Sheinfux, Hanan Herzig; Sagi, Yoav; Eisenstein, G.; Segev, Mordechai

doi:10.1103/physrevlett.121.233901

Cited by 25 publications

(14 citation statements)

References 36 publications

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“…In such systems, optical nonlinearities are closely related to the remarkable features of topological photonics, resulting in novel observations being offered by strongly correlated states similar to the fractional quantum Hall effect in fermion systems. Stimulated by the potential applications of photonic materials, topological quantum matter and topological transitions in such systems have been widely explored and attracted increasing attention [40][41][42][43]. The theoretical technique for such systems is often within the mean-field approximation, which reduces any many-body problem into an effective one-body problem and can be applied to a number of physical systems to study phenomena such as energy dispersion and phase transitions.…”

Section: Introductionmentioning

confidence: 99%

Nonlinear Topological Effects in Optical Coupled Hexagonal Lattice

Xue

2021

Entropy

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Topological physics in optical lattices have attracted much attention in recent years. The nonlinear effects on such optical systems remain well-explored and a large amount of progress has been achieved. In this paper, under the mean-field approximation for a nonlinearly optical coupled boson–hexagonal lattice system, we calculate the nonlinear Dirac cone and discuss its dependence on the parameters of the system. Due to the special structure of the cone, the Berry phase (two-dimensional Zak phase) acquired around these Dirac cones is quantized, and the critical value can be modulated by interactions between different lattices sites. We numerically calculate the overall Aharonov-Bohm (AB) phase and find that it is also quantized, which provides a possible topological number by which we can characterize the quantum phases. Furthermore, we find that topological phase transition occurs when the band gap closes at the nonlinear Dirac points. This is different from linear systems, in which the transition happens when the band gap closes and reopens at the Dirac points.

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Section: Introductionmentioning

confidence: 99%

Nonlinear Topological Effects in Optical Coupled Hexagonal Lattice

Xue

2021

Entropy

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“…Multiple scattering can also lead to the peculiar statistical properties of light violating usual diffusion (suband superdiffusion) like in optical Levy flights [33][34][35]. The situation becomes even more complicated when the interplay * dvnovitsky@gmail.com between disorder and nonlinearity occurs with the subsequent suppression of Anderson localization or promotion of diffusion [36][37][38].…”

Section: Introductionmentioning

confidence: 99%

Controlling wave-front shape and propagation time with tunable disordered non-Hermitian multilayers

Novitsky,

Lyakhov,

Michels

et al. 2020

Preprint

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Unique and flexible properties of non-Hermitian photonic systems attract ever-increasing attention via delivering a whole bunch of novel optical effects and allowing for efficient tuning light-matter interactions on nanoand microscales. Together with an increasing demand for the fast and spatially compact methods of light governing, this peculiar approach paves a broad avenue to novel optical applications. Here, unifying the approaches of disordered metamaterials and non-Hermitian photonics, we propose a conceptually new and simple architecture driven by disordered loss-gain multilayers and, therefore, providing a powerful tool to control both the passage time and the wave-front shape of incident light with different switching times. For the first time we show the possibility to switch on and off kink formation by changing the level of disorder in the case of adiabatically raising wave fronts. At the same time, we deliver flexible tuning of the output intensity by using the nonlinear effect of loss and gain saturation. Since the disorder strength in our system can be conveniently controlled with the power of the external pump, our approach can be considered as a basis for different active photonic devices.

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“…Even though it has been studied extensively for over half a century, Anderson localization of quantum particles and classical waves continues to attract the interest of many researchers [1,2,3,4,5,6,7,8]. We focus especially on the unique phenomenon called Brewster anomaly (BA), which is the delocalization of p-polarized electromagnetic waves in randomly-stratified media at a special incident angle [9,10,11,12,13,14,15].…”

Section: Introductionmentioning

confidence: 99%

Anderson localization and Brewster anomaly of electromagnetic waves in randomly-stratified anisotropic media

Kim

2019

Mater. Res. Express

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Anderson localization of p-polarized waves and the Brewster anomaly phenomenon, which is the delocalization of p-polarized waves at a special incident angle, in randomly-stratified anisotropic media are studied theoretically for two different random models. In the first model, the random parts of the transverse and longitudinal components of the dielectric tensor, between which the longitudinal component is the one in the stratification direction, are assumed to be uncorrelated, while, in the second model, they are proportional to each other. We calculate the localization length in a precise way using the invariant imbedding method. From analytical considerations, we provide an interpretation of the Brewster anomaly as a phenomenon arising when the wave impedance is effectively uniform. Similarly, the ordinary Brewster effect is interpreted as an impedance matching phenomenon. We derive the existence condition for the Brewster anomaly and concise analytical expressions for the localization length, which are accurate in the weak disorder regime. We find that the Brewster anomaly can arise only when disorder is sufficiently weak and only in the second model with a positive ratio of the random parts. The incident angle at which the anomaly occurs depends sensitively on the ratio of the random parts and the average values of the tensor components. In the cases where the critical angle of total reflection exists, the angle at which the anomaly occurs can be either bigger or smaller than the critical angle. When the transverse and longitudinal components are uncorrelated, localization is dominated by the the transverse component at small incident angles. When only the longitudinal component is random, the localization length diverges as θ −4 as the incident angle θ goes to zero and is also argued to diverge for all θ in the strong disorder limit.

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Self-Induced Diffusion in Disordered Nonlinear Photonic Media

Cited by 25 publications

References 36 publications

Nonlinear Topological Effects in Optical Coupled Hexagonal Lattice

Nonlinear Topological Effects in Optical Coupled Hexagonal Lattice

Controlling wave-front shape and propagation time with tunable disordered non-Hermitian multilayers

Anderson localization and Brewster anomaly of electromagnetic waves in randomly-stratified anisotropic media

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