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Measuring the orbital angular momentum spectrum of an electron beam

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TLDR
This work proposes, design and demonstrates the performance of a device based on nanoscale holograms for measuring an electron's OAM components by spatially separating them and employs the device to analyse the OAM spectrum of electrons that have been affected by a micron-scale magnetic dipole, establishing that the sorter can be an instrument for nanoscales magnetic spectroscopy.
Abstract
Electron waves that carry orbital angular momentum (OAM) are characterized by a quantized and unbounded magnetic dipole moment parallel to their propagation direction. When interacting with magnetic materials, the wavefunctions of such electrons are inherently modified. Such variations therefore motivate the need to analyse electron wavefunctions, especially their wavefronts, to obtain information regarding the material's structure. Here, we propose, design and demonstrate the performance of a device based on nanoscale holograms for measuring an electron's OAM components by spatially separating them. We sort pure and superposed OAM states of electrons with OAM values of between -10 and 10. We employ the device to analyse the OAM spectrum of electrons that have been affected by a micron-scale magnetic dipole, thus establishing that our sorter can be an instrument for nanoscale magnetic spectroscopy.

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Theory and applications of free-electron vortex states

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Ultrafast nanoimaging of the order parameter in a structural phase transition

TL;DR: Ultrafast dark-field electron microscopy is introduced to map the order parameter across a structural phase transition in the layered material 1 T-polytype of tantalum disulfide, and the distinctive benefits of selective contrast enhancement will inspire future beam-shaping technology in ultrafast transmission electron microscope.
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Generalized optical angular momentum sorter and its application to high-dimensional quantum cryptography.

TL;DR: This work reports the implementation of a device capable of sorting a beam based on its OAM and polarization content, which could be of use in works employing both of these degrees of freedom as information channels.
References
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Journal ArticleDOI

Entanglement of the orbital angular momentum states of photons

TL;DR: This work demonstrates entanglement involving the spatial modes of the electromagnetic field carrying orbital angular momentum, which provides a practical route to entangled states that involves many orthogonal quantum states, rather than just two Multi-dimensional entangled states could be of considerable importance in the field of quantum information, enabling, for example, more efficient use of communication channels in quantum cryptography.
Journal ArticleDOI

Entanglement of Orbital Angular Momentum States of Photons

TL;DR: In this article, the orbital angular momentum of photons is exploited to achieve multi-dimensional entanglement in higher dimensions, i.e., the state of the electromagnetic field with phase singularities (doughnut modes).
Journal ArticleDOI

Measuring the orbital angular momentum of a single photon.

TL;DR: This work demonstrates its viability by sorting four different orbital angular momentum states, and is thus able to encode two bits of information on a single photon, having implications for entanglement experiments, quantum cryptography and high density information transfer.
Journal ArticleDOI

Efficient sorting of orbital angular momentum states of light.

TL;DR: A method to efficiently sort orbital angular momentum states of light using two static optical elements that perform a Cartesian to log-polar coordinate transformation, converting the helically phased light beam corresponding to OAM states into a beam with a transverse phase gradient.
Journal ArticleDOI

Production and application of electron vortex beams

TL;DR: This technique is a reproducible method of creating vortex electron beams in a conventional electron microscope, and it is demonstrated how they may be used in electron energy-loss spectroscopy to detect the magnetic state of materials and describe their properties.
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