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Laser & Photonics Review

Photonic Entanglement Based on Nonlinear Metamaterials

Yang Ming, Wang Zhang, Jie Ying Tang, Yuan Liu, Zilong Xia, Yushen Liu, Yanqing Lu

Published Apr 3, 2020• 29 citations
Publisher

Abstract

Abstract Metamaterials consisting of deep subwavelength artificial “atoms” have been utilized to demonstrate a series of novel phenomena such as negative refraction and epsilon‐near‐zero. In recent times, metamaterials have been developed as an up‐and‐coming platform for quantum optics. Here the generation and modulation of photonic entanglement are investigated based on the parametric down conversion processes in metamaterials with considerable optical nonlinearity. Through flexible nanostructure design, the nonlinear photonic interaction in the metamaterial system can be effectively tailored. The distributions of optical parameters of the system are inhomogeneous, based on which the spatial properties of the generated photonic state can be steered as desired. The theoretical framework to describe this system is established based on the nonlinear Huygens–Fresnel principle, and a differential approach is utilized to deal with the intrinsic loss of the system. The generation of orbital angular momentum entangled states is actually considered as an illustration. This platform could be valuable for the practical applications of quantum information processing.

DOI
10.1002/lpor.201900146

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Abstract Metamaterials consisting of deep subwavelength artificial “atoms” have been utilized to demonstrate a series of novel phenomena such as negative refraction and epsilon‐near‐zero. In recent times, metamaterials have been developed as an up‐and‐coming platform for quantum optics. Here the generation and modulation of photonic entanglement are investigated based on the parametric down conversion processes in metamaterials with considerable optical nonlinearity. Through flexible nanostructure design, the nonlinear photonic interaction in the metamaterial system can be effectively tailored. The distributions of optical parameters of the system are inhomogeneous, based on which the spatial properties of the generated photonic state can be steered as desired. The theoretical framework to describe this system is established based on the nonlinear Huygens–Fresnel principle, and a differential approach is utilized to deal with the intrinsic loss of the system. The generation of orbital angular momentum entangled states is actually considered as an illustration. This platform could be valuable for the practical applications of quantum information processing.
We investigate utilizing nonlinear metamaterials for generating entangled photons with expected characteristics. Metamaterials are artificial structures with unique properties which are not attainable with naturally existing materials. In recent years, owing to high designability and flexibility, metamaterials have been deeply investigated and utilized for constructing novel photonic devices. Through tailoring the nanostructures of metamaterials with feasible nonlinear optical character, we can control the PDC process inside the medium to generate desirable photon states. Various spatial perturbations of optical parameters with special distributions can be introduced in via suitable arraying of elements of metamaterials. The spatial properties of entangled photons such as orbital angular momentum can be flexibly engineered. The nonlinear metamaterial provides a flexible platform for steering photonic entanglement.
The high designability of metamaterials has made them an attractive platform for devising novel optoelectronic devices. The demonstration of nonlinear metamaterials further indicates their potential in developing quantum applications. Here, we investigate designing nonlinear metamaterials consisting of the 3-fold (C3) rotationally symmetrical nanoantennas for generating and modulating entangled photons in the spatial degrees of freedom. Through tailoring the geometry and orientation of the nanoantennas, the parametric down conversion process inside the metamaterials can be locally engineered to generate entangled states with desired spatial properties. As the orbital angular momentum (OAM) states are valuable for enhancing the data capacity of quantum information systems, the photonic OAM entanglement is practically considered. With suitable nanostructure design, the generation of OAM entangled states is shown to be effectively realized in the discussed nonlinear metamaterial system. The nonlinear metamaterials present a perspective to provide a flexible platform for quantum photonic applications.
Metamaterials constructed from deep subwavelength building blocks have been used to demonstrate phenomena ranging from negative refractive index and ε-near-zero to cloaking, emulations of general relativity, and superresolution imaging. More recently, metamaterials have been suggested as a new platform for quantum optics. We present the use of a dielectric metasurface to generate entanglement between the spin and orbital angular momentum of photons. We demonstrate the generation of the four Bell states on a single photon by using the geometric phase that arises from the photonic spin-orbit interaction and subsequently show nonlocal correlations between two photons that interacted with the metasurface. Our results show that metamaterials are suitable for the generation and manipulation of entangled photon states, introducing the area of quantum optics metamaterials.
Metamaterials have been a major research area for more than two decades now, involving artificial structures with predesigned electromagnetic properties constructed from deep subwavelength building blocks. They have been used to demonstrate a wealth of fascinating phenomena ranging from negative refractive index and epsilon-near-zero to cloaking, emulations of general relativity effects, and super-resolution imaging, to name a few. In the past few years, metamaterials have been suggested as a new platform for quantum optics, and several pioneering experiments have already been carried out with single photons. Here, we employ a dielectric metasurface to generate entanglement between spin and orbital angular momentum of single photons. We demonstrate experimentally the generation of the four Bell states by utilizing the geometric phase arising from the photonic spin-orbit interaction. These are the first experiments with entangled states with metasurfaces, and as such they are paving the way to the new area of quantum metamaterials.
Tunable photonic quantum entanglement promises to advance information processing beyond classical approaches, facilitating applications in quantum communications, imaging and computing. A practical approach to preparing quantum entanglement at room temperature is to engineer photon-pair generation through spontaneous parametric down-conversion (SPDC). Nonlinear flat-optics devices, incorporating subwavelength-thick nonlinear materials, are emerging as new platforms for generating photon pairs at the nanoscale. In particular, nanostructured metasurfaces supporting optical resonances can enhance and tailor SPDC processes, allowing for the generation of spectral, polarization, and spatial entanglement [1]. However, the tunability of polarization entanglement is subject to the symmetry of nonlinear tensors of materials, where the pump photon polarization serves as the only tuning parameter [2].