Generation of N00N State With Orbital Angular Momentum in a Twisted Nonlinear Photonic Crystal

Ming, Yang; Tang, Jie; Chen, Zhaoxian; Xu, Fei; Zhang, Lijian; Lu, Yanqing

doi:10.1109/jstqe.2014.2382977

Cited by 23 publications

(7 citation statements)

References 51 publications

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Section: Basics Of Nonlinear Frequency Conversionmentioning

confidence: 99%

“…Further, nonlinear bulk and planar holograms can be used to engineer the biphoton wavefunction in spontaneous parametric down-conversion [Fig. 4(g)] [41,[105][106][107][108][109][110]. For more detailed reviews of 1D and 2D nonlinear holography, the reader is referred to Refs.…”

Section: Beam Shaping and Holography In Nonlinear Photonic Crystalsmentioning

confidence: 99%

“…(g) Shaping spontaneously down-converted photon pairs with orbital angular momentum entanglement using vortex pump beams and fork-shaped nonlinear 2D crystals. Reproduced from Ref [41],. Copyright © 2015 IEEE.…”

mentioning

confidence: 99%

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The geometric phase in nonlinear frequency conversion

Karnieli

Arie

2021

Front. Phys.

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The geometric phase of light has been demonstrated in various platforms of the linear optical regime, raising interest both for fundamental science as well as applications, such as flat optical elements. Recently, the concept of geometric phases has been extended to nonlinear optics, following advances in engineering both bulk nonlinear photonic crystals and nonlinear metasurfaces. These new technologies offer a great promise of applications for nonlinear manipulation of light. In this review, we cover the recent theoretical and experimental advances in the field of geometric phases accompanying nonlinear frequency conversion. We first consider the case of bulk nonlinear photonic crystals, in which the interaction between propagating waves is quasi-phase-matched, with an engineerable geometric phase accumulated by the light. Nonlinear photonic crystals can offer efficient and robust frequency conversion in both the linearized and fully-nonlinear regimes of interaction, and allow for several applications including adiabatic mode conversion, electromagnetic nonreciprocity and novel topological effects for light. We then cover the rapidly-growing field of nonlinear Pancharatnam-Berry metasurfaces, which allow the simultaneous nonlinear generation and shaping of light by using ultrathin optical elements with subwavelength phase and amplitude resolution. We discuss the macroscopic selection rules that depend on the rotational symmetry of the constituent meta-atoms, the order of the harmonic generations, and the change in circular polarization. Continuous geometric phase gradients allow the steering of light beams and shaping of their spatial modes. More complex designs perform nonlinear imaging and multiplex nonlinear holograms, where the functionality is varied according to the generated harmonic order and polarization. Recent advancements in the fabrication of three dimensional nonlinear photonic crystals, as well as the pursuit of quantum light sources based on nonlinear metasurfaces, offer exciting new possibilities for novel nonlinear optical applications based on geometric phases.

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Section: Basics Of Nonlinear Frequency Conversionmentioning

confidence: 99%

Section: Beam Shaping and Holography In Nonlinear Photonic Crystalsmentioning

confidence: 99%

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The geometric phase in nonlinear frequency conversion

Karnieli

Arie

2021

Front. Phys.

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“…Photon pairs may entangle in various degrees of freedom, such as polarization [4,5], time and energy [6], frequency [7], path [8], and transverse mode [9,10]. Additionally, entanglement of photons also extends to spatial modes of the electromagnetic field carrying orbital angular momentum (OAM) [11,12], which can be used to define an infinitely dimensional discrete Hilbert space and provide a practical route to entanglement that involves many orthogonal quantum states, instead of only two-dimensional entangled states. These entangled states with OAM make communication channels in quantum information more efficient and observably increase the transmission capacity [13].…”

Section: Introductionmentioning

confidence: 99%

Entanglement of photons with complex spatial structure in Hermite-Laguerre-Gaussian modes

et al. 2016

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Photons with complicated spatial mode structures can be applied for different quantum information tasks. Here, we show the entanglement of photons with complex singularity patterns called Hermite-Laguerre-Gaussian (HLG) modes. Measuring one photon of the entangled pairs by HLG mode basis to define its singularity pattern, we can steer the singularity structure of its partner, while the initial singularity structure of the photons is undefined. We also calculate the HLG specific quantum-correlation function. It can be used to extend the quantum key distribution protocols and to tune experiments dealing with high-order transverse modes. In addition we discuss orbital angular momentum properties of the HLG modes and summarize some features of the singularity pattern of the HLG modes with varying angle parameter.

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“…For example, Ming et al investigated the wavefront engineering of photon pairs generated through spontaneous parametric down-conversion in lithium niobate (LN)-based nonlinear photonics. 8 Further, the entanglement of photons with complex spatial structures in the Hermite-Laguerre-Gaussian mode was proposed, which can be used in quantum entanglement. 9 The shape and direction of the generated beam depend on the phase-matching conditions.…”

mentioning

confidence: 99%

Generation of second-harmonic Ince-Gaussian beams

Wang

Tang

Wang

et al. 2018

Applied Physics Letters

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As a continuous transition between the Hermite-Gaussian and Laguerre-Gaussian beams, the Ince-Gaussian beams form a family of exact orthogonal solutions of the free-space paraxial wave equation in elliptic coordinates. Ince-Gaussian beams have multiple transverse mode patterns, which make them unique in terms of application in the fields of bioengineering, particle manipulation, and quantum entanglement. Here, based on binary nonlinear computer-generated holograms with a domain structure (realized via electric field poling at room temperature), we generate a second-harmonic Ince-Gaussian beam pumped with a fundamental Gaussian beam. In this process, the transverse part of the phase-matching condition is satisfied, which is called the Raman-Nath-type nonlinear diffraction. Both frequency conversion and beam shaping can be realized simultaneously, thereby offering the advantage of integration of both functions into a single device.

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Generation of N00N State With Orbital Angular Momentum in a Twisted Nonlinear Photonic Crystal

Cited by 23 publications

References 51 publications

The geometric phase in nonlinear frequency conversion

The geometric phase in nonlinear frequency conversion

Entanglement of photons with complex spatial structure in Hermite-Laguerre-Gaussian modes

Generation of second-harmonic Ince-Gaussian beams

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