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Laser & Photonics Review

Generation of Femtosecond Optical Vortices Entanglement

haijiang liu, Yanxiang Xie, Jiaming Li, Yunhao Zhang, Rongguo Yang, Kui Liu, Jiangrui Gao Jiangrui Gao

Published Jan 24, 2026• 0 citations
Publisher

Abstract

ABSTRACT Femtosecond optical vortices feature helical phase fronts within their transverse modes and also display a fixed phase difference among the longitudinal modes. This multi‐dimensional manipulation of femtosecond laser pulses forms a fundamental basis for various applications. While multiple techniques exist for generating traditional femtosecond optical vortices, a notable void persists in the domain of continuous‐variable entanglement. This letter introduces the demonstration of femtosecond optical vortices entanglement accomplished through the synchronously pumped optical parametric oscillator, which is designed with a nonplanar ring cavity to compensate for astigmatism without introducing additional dispersion. The generated light field exhibits both temporal multimode structures, manifested as supermodes in the femtosecond optical frequency comb, and spatial multimode structures carrying orbital angular momentum. Orbital angular momentum entanglement is clearly observed in the first three‐order supermodes. The femtosecond optical vortices entanglement, serving as a precursor of potential, holds the crucial key to unlocking enhanced capabilities in advanced information processing, securing quantum communication, and even paving the way for the realization of multi‐parameter quantum metrology.

DOI
10.1002/lpor.202501983

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ABSTRACT Femtosecond optical vortices feature helical phase fronts within their transverse modes and also display a fixed phase difference among the longitudinal modes. This multi‐dimensional manipulation of femtosecond laser pulses forms a fundamental basis for various applications. While multiple techniques exist for generating traditional femtosecond optical vortices, a notable void persists in the domain of continuous‐variable entanglement. This letter introduces the demonstration of femtosecond optical vortices entanglement accomplished through the synchronously pumped optical parametric oscillator, which is designed with a nonplanar ring cavity to compensate for astigmatism without introducing additional dispersion. The generated light field exhibits both temporal multimode structures, manifested as supermodes in the femtosecond optical frequency comb, and spatial multimode structures carrying orbital angular momentum. Orbital angular momentum entanglement is clearly observed in the first three‐order supermodes. The femtosecond optical vortices entanglement, serving as a precursor of potential, holds the crucial key to unlocking enhanced capabilities in advanced information processing, securing quantum communication, and even paving the way for the realization of multi‐parameter quantum metrology.
Multimode nonclassical states of light are an essential resource in quantum computation with continuous variables [1]. They can be generated either by mixing different squeezed light sources using linear optical operations [2], or directly in a multimode optical device [3, 4]. Synchronously Pumped Optical Parametric Oscillators (SPOPO) — which correspond to an OPO pumped by a train of ultrashort pulses that are synchronized with the cavity round-trip time — have been theoretically shown to be promising devices for the generation of multimode nonclassical frequency combs, since a SPOPO is a sole optical cavity acting as an assembly of independent squeezers in a particular basis called the supermodes basis [5]. The supermodes are optical frequency combs with specific spectrum and phase profiles that are determined by the length of the intracavity nonlinear crystal and the pulse shape of the pump.
This presentation first reviews the historical development of the field of nonlinear optics, starting from its inception in 1961. It then reviews some of its more recent developments, including especially how nonlinear optics has become a crucial tool for the developing field of quantum technologies. Fundamental quantum processes enabled by nonlinear optics, such as the creation of squeezed and entangled light states, are reviewed. We then illustrate these concepts by means of specific applications, such as the development of secure communication systems based on the quantum states of light. We are also interested in studying the properties of structured light fields. These structured light beams have recently been shown to possess exotic properties of their own, such as vacuum propagation velocities differing from the light velocity c for plane waves. These beams can also be tailored in such a way that they carry orbital angular momentum, which can be used to apply a torque to mechanical objects and as a carrier of information in a classical and quantum telecommunication system. Light can carry angular momentum both by means of its spin angular momentum (as manifested for example in circular polarization) and by means of its orbital angular momentum (OAM), whose origin is a helical structure of its wavefront. The orbital angular momentum of light has recently been recognized to constitute a crucial attribute for many photonic technologies, including the trapping and manipulation of small particles and for multiplexing in optical telecommunication. In this presentation we review some of the fundamental properties of OAM including its quantum features such as entanglement. We then go on to describe a secure telecommunication system in which information is encoded in OAM, and which can carry more than one bit of information per photon.
High-dimensional entanglement is a critical foundation for the growing demand for information capacity to implement the high-capacity quantum task. Here, we report continuous-variable high-dimensional entanglement with three degrees of freedom (frequency, polarization, and orbital angular momentum) directly generated with a single type-II optical parametric oscillator (OPO) cavity. By compensating both for dispersion in frequency modes and astigmatism in higher-order transverse modes, the OPO is capable of oscillating simultaneously and outputting thousands of entanglement pairs. The three degrees of freedom high-dimensional entanglement are verified simultaneously possessing frequency comb, spin, and orbital angular momentum entanglement via 14 pairs of Hermite–Gaussian mode correlations measurement. Then, the “space-frequency” multiplexing quantum dense coding communication is also demonstrated by using the entanglement resource. It shows the great superiority of high-dimensional entanglement in implementing the high-capacity quantum task. Apart from an increased channel capacity, it is possible to conduct deterministic high-dimensional quantum protocols, quantum imaging, and especially quantum computing.
We show that synchronously pumped Optical Parametric Oscillators are able to generate strongly squeezed trains of femtosecond pulses in “supermodes”, which are well defined superpositions of many modes of different frequencies. In some conditions, several supermodes can be simultaneously squeezed. In addition, we show that the use of such squeezed trains of pulses can improve time transfer between remote clocks and ranging techniques beyond the standard quantum limit provided they have an optimized temporal shape.
Multimode nonclassical states of light are an essential resource in quantum computation with continuous variables, for example, in cluster state computation. We report in this Letter the first experimental evidence of a multimode nonclassical frequency comb in a femtosecond synchronously pumped optical parametric oscillator. In addition to a global reduction of its quantum intensity fluctuations, the system features quantum correlations between different parts of its frequency spectrum. This allows us to show that the frequency comb is composed of several uncorrelated eigenmodes having specific spectral shapes, two of them at least being squeezed, and to characterize their spectral shapes.