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Photonic topological insulators

TLDR
It is shown that metacrystals-superlattices of metamaterials with judiciously designed properties-provide a platform for designing topologically non-trivial photonic states, similar to those identified for condensed-matter topological insulators.
Abstract
Recent progress in understanding the topological properties of condensed matter has led to the discovery of time-reversal-invariant topological insulators. A remarkable and useful property of these materials is that they support unidirectional spin-polarized propagation at their surfaces. Unfortunately topological insulators are rare among solid-state materials. Using suitably designed electromagnetic media (metamaterials) we theoretically demonstrate a photonic analogue of a topological insulator. We show that metacrystals-superlattices of metamaterials with judiciously designed properties-provide a platform for designing topologically non-trivial photonic states, similar to those that have been identified for condensed-matter topological insulators. The interfaces of the metacrystals support helical edge states that exhibit spin-polarized one-way propagation of photons, robust against disorder. Our results demonstrate the possibility of attaining one-way photon transport without application of external magnetic fields or breaking of time-reversal symmetry. Such spin-polarized one-way transport enables exotic spin-cloaked photon sources that do not obscure each other.

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Citations
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Weyl and Dirac semimetals in three-dimensional solids

TL;DR: Weyl and Dirac semimetals as discussed by the authors are three-dimensional phases of matter with gapless electronic excitations that are protected by topology and symmetry, and they have generated much recent interest.
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Topological Photonics

TL;DR: Topological photonics is a rapidly emerging field of research in which geometrical and topological ideas are exploited to design and control the behavior of light as mentioned in this paper, which holds great promise for applications.
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Photonic Floquet topological insulators

TL;DR: This work proposes and experimentally demonstrate a photonic topological insulator free of external fields and with scatter-free edge transport—a photonic lattice exhibiting topologically protected transport of visible light on the lattice edges.
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Non-Hermitian physics and PT symmetry

TL;DR: In this paper, the interplay between parity-time symmetry and non-Hermitian physics in optics, plasmonics and optomechanics has been explored both theoretically and experimentally.
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Quantum fluids of light

TL;DR: In this paper, a review of recent theoretical and experimental advances in the fundamental understanding and active control of quantum fluids of light in nonlinear optical systems is presented, from the superfluid flow around a defect at low speeds to the appearance of a Mach-Cherenkov cone in a supersonic flow, to the hydrodynamic formation of topological excitations such as quantized vortices and dark solitons at the surface of large impenetrable obstacles.
References
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Journal ArticleDOI

Optical magnetoelectric effect in multiferroic materials: evidence for a Lorentz force acting on a ray of light.

TL;DR: It is theoretically proposed that the optical analog of a Lorentz force acting on a ray of light is realized in multiferroic materials such as GaFeO3 showing the magnetoelectric effect.
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Effective theory of quadratic degeneracies

TL;DR: In this paper, a theory for the Bloch functions of a two-dimensional square lattice near a quadratic degeneracy point is presented, and the theory agrees with numerically computed photonic band structures and yields the correct Chern numbers induced by parity breaking.
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Analysis of nonlinear electromagnetic metamaterials

TL;DR: In this paper, the authors derived the expressions for the effective nonlinear susceptibilities of a metacrystal formed from resonant elements that couple strongly to the magnetic field and experimentally illustrate the accuracy and validity of their theoretical framework.
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Negative-index bianisotropic photonic metamaterial fabricated by direct laser writing and silver shadow evaporation.

TL;DR: The comparison of measured linear optical spectra with theory shows good agreement and reveals a negative real part of the refractive index at around 3.85 microm wavelength -- despite the fact that the metamaterial structure is bianisotropic owing to the lack of inversion symmetry along its surface normal.
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Bianisotropic route to the realization and matching of backward-wave metamaterial slabs

TL;DR: In this article, a backward-wave bianisotropic composite medium matched to free space is suggested, which is based on the use of a uniaxial bisotropic structure embedded into a matrix with negative effective permittivity.
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