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Applied Physics Letters

The interference properties of single-photon vortex beams in Mach–Zehnder interferometer

Xue Guo, Zhe Meng, Jian Li, Jia-Zhi Yang, Mairikena Aili, An‐Ning Zhang

Published Jul 5, 2021• 12 citations
Publisher

Abstract

Orbital angular momentum (OAM) is a unique degree of freedom for vortex beams. It is very important to study the interference of vortex beams carrying OAM in quantum information science. In this paper, we study the interference phenomenon of vortex beams based on a stable and adjustable Mach–Zehnder (MZ) interferometer using a laser and a single-photon as light sources. Furthermore, we also show the evolution of the different initial states in the MZ interferometer, and the interferograms of initial states vary with changing the interferometer phase. Our research not only helps us to understand the special phenomenon of OAM in the MZ interferometer but also provides some theoretical and experimental support for OAM as a quantum information carrier.

DOI
10.1063/5.0055428

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Orbital angular momentum (OAM) is a unique degree of freedom for vortex beams. It is very important to study the interference of vortex beams carrying OAM in quantum information science. In this paper, we study the interference phenomenon of vortex beams based on a stable and adjustable Mach–Zehnder (MZ) interferometer using a laser and a single-photon as light sources. Furthermore, we also show the evolution of the different initial states in the MZ interferometer, and the interferograms of initial states vary with changing the interferometer phase. Our research not only helps us to understand the special phenomenon of OAM in the MZ interferometer but also provides some theoretical and experimental support for OAM as a quantum information carrier.
Orbital angular momentum (OAM) of photons has applications both in classical and quantum information due to its features of optical vortex and infinite dimensions. This paper studies the interference effects of optical vortex beams carrying mixed, conjugate, and single-mode OAM states based on the Sagnac interferometer with light sources of a laser and single photon. We compare our results with numerical simulations and show that the light intensity distribution and phase characteristics can directly characterize the absolute value of the topological charge (TC) carried by vortex beams. Furthermore, our scheme can also classify the photon with positive and negative signs of TC in the mixed mode OAM state by changing the relative phase. The results not only extend the manipulation methods for high-dimensional quantum states, but also lay a solid foundation for the application of vortex beams in a single-photon field.
The orbital angular momentum (OAM) of a vortex beam has already found significant potential applications in both quantum and classical communication systems. In this study, a realization of a double-slit experiment using a Sagnac interferometer is conducted for the detection and discrimination of vortex beams. Based on the advantages of convenient and adjustable double-slit parameters of our device, we detected multiple vortex beams carrying different OAM modes and superpositions of OAM modes under laser and single-photon illumination. We also analyzed the influence of the slit parameters on the interference pattern of the vortex beams. The results show that by comparing the differences in these interference patterns, we can achieve the measurement of topological charge and complete distinction of OAM states carried by the vortex beams. Our study contributes to coding research on laser and quantum communication.
We report on an imaging-inspired measurement of orbital angular momentum (OAM) using only a simple tilted lens and an intensified charged coupled device camera, allowing us to monitor the propagation of OAM structured photons over distance, which is crucial for free-space quantum communication networks. We demonstrate the measurement of OAM orders as high as ls = 14 in a heralded single-photon source and show, for the first time, the imaged self-interference of photons carrying OAM in a modified Mach–Zehnder interferometer. The described methods reveal both the charge and order of a photon's OAM and provide a proof of concept for the interference of a single OAM photon with itself. Using these tools, we are able to study the propagation characteristics of OAM photons over a distance, which is important for estimating transport in free-space quantum links. By translating these classical tools into the quantum domain, we offer a robust and direct approach for the complete characterization of a twisted single-photon source, an important building block of a quantum network.
In recent years, the high-dimensional properties of the orbital angular momentum degree of freedom of light have attracted extensive attention. This degree of freedom has been studied and used in many scientific fields, especially in optical communication and quantum information. In order to fully utilize the high-dimensional properties of orbital angular momentum, non-destructive separation of different orbital angular momentum states has become a fundamental requirement. However, the existing orbital angular momentum beam-splitting systems either lack stability and cascade expansibility, or the properties of the separated orbital angular momentum states are seriously damaged, thus failing to participate in further interaction processes. In this work, we construct a miniature Mach-Zehnder interferometer based on the beam displacer, and design an orbital angular momentum beam splitter, thereby realizing the non-destructive beam splitting of orbital angular momentum mode. In the orbital angular momentum splitter, the theoretical energy loss is zero because there exists only total reflection of the beam. The beam in the miniature Mach-Zehnder interferometer passes through the same optical element, and the spatial deviation of the beam is small, so the orbital angular momentum beam splitter has good stability. In addition, because the separated orbital angular momentum state has the same propagation direction as the incident orbital angular momentum state, the beam splitter has good extensibility and is easy to use in cascade. Our research result is of great significance in using the orbital angular momentum as a high-dimensional degree of freedom in optical communication and other related fields.
Optical orbital angular momentum (OAM) is a special property of photons and has evoked research onto the light–matter interaction in both classical and quantum regimes. In classical optics, OAM is related to an optical vortex with a helical phase structure. In quantum optics, photons with a twisted or helical phase structure will carry a quantized OAM. To our knowledge, however, so far, no experiment has demonstrated the fundamental property of the OAM at the single-photon level. In this Letter, we have demonstrated the average photon trajectories of twisted photons in a double-slit interference. We have experimentally captured the double-slit interference process of twisted photons by a time-gated intensified charge-coupled device camera, which is trigged by a heralded detection. Our work provides new perspectives for understanding the micro-behaviors of twisted particles and enables new applications in imaging and sensing.
The identification of orbital angular momentum (OAM) as a fundamental property of a beam of light nearly 25 years ago has led to an extensive body of research around this topic. The possibility that single photons can carry OAM has made this degree of freedom an ideal candidate for the investigation of complex quantum phenomena and their applications. Research in this direction has ranged from experiments on complex forms of quantum entanglement to the interaction between light and quantum states of matter. Furthermore, the use of OAM in quantum information has generated a lot of excitement, as it allows for encoding large amounts of information on a single photon. Here, we explain the intuition that led to the first quantum experiment with OAM 15 years ago. We continue by reviewing some key experiments investigating fundamental questions on photonic OAM and the first steps to applying these properties in novel quantum protocols. At the end, we identify several interesting open questions that could form the subject of future investigations with OAM.This article is part of the themed issue 'Optical orbital angular momentum'.