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arXiv:1702.06888 · Physical Review A

Erasing the orbital angular momentum information of a photon

Isaac M. Nape, Bienvenu I. Ndagano, Andrew Forbes

Published May 24, 2017• 24 citations
arXivHTMLPDF

Abstract

Quantum erasers with paths in the form of physical slits have been studied extensively and proven instrumental in probing wave-particle duality in quantum mechanics. Here we replace physical paths (slits) with abstract paths of orbital angular momentum (OAM). Using spin-orbit hybrid entanglement of photons, we show that the OAM content of a photon can be erased with a complementary polarization projection of one of the entangled pair. The result is the (dis)appearance of azimuthal fringes based on whether the ``which-OAM'' information was erased. We extend this concept to a delayed measurement scheme and show that the OAM information and fringe visibility are complementary.

DOI
10.1103/physreva.95.053859

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Quantum erasers with paths in the form of physical slits have been studied extensively and proven instrumental in probing wave-particle duality in quantum mechanics. Here we replace physical paths (slits) with abstract paths of orbital angular momentum (OAM). Using spin-orbit hybrid entanglement of photons, we show that the OAM content of a photon can be erased with a complementary polarization projection of one of the entangled pair. The result is the (dis)appearance of azimuthal fringes based on whether the ``which-OAM'' information was erased. We extend this concept to a delayed measurement scheme and show that the OAM information and fringe visibility are complementary.
Youngs double slit experiment is one of the most celebrated achievements in quantum and classical optics; it provides experimental proof of the wave-particle duality of light. When the paths of the double slit are marked with orthogonal polarizations, the path information is revealed and no interference pattern is observed. However, the path information can be erased with a complimentary analysis of the polarization. Here we use hybrid entanglement between photons carrying orbital angular momentum and polarization to show that, just as in Young's experiment, the paths (OAM) marked with polarization do not lead to interference. However, when introducing the eraser (polarizer) which projects the polarization of one of the entangled photons onto a complementary polarization basis, the OAM (paths) are allowed to interfere, leading to the formation of azimuthal fringes whose frequency is proportional to the OAM content carried by the photon.
The quantum eraser effect exemplifies the distinctive properties of quantum mechanics that challenge classical intuition and reveal the wave-particle duality of light.Whether the photon exhibits particle-like or wave-like behavior depends on whether the path information is discernible.In this paper, we propose a novel quantum eraser scheme that utilizes photonic phase structures as the which-way indicator.This scheme is implemented using a Mach-Zehnder interferometer (MZI), where one arm is configured with orbital angular momentum (OAM) to establish predetermined which-way information.Consequently, at the output ports of the MZI, the photon displays particle-like characteristics when the which-way information is retained.However, the introduction of an additional spiral phase plate (SPP) to eliminate the phase structure from the output photon of the MZI unveils distinct interference patterns.This result enhances our understanding of the quantum erasure effect.
We report an experiment of which-way information and a quantum eraser based on polarization-controlled interference of two twisted light beams carrying high orbital angular momentum (OAM) up to ℓ=±50 and ±100, respectively. By changing the polarization plane of one OAM beam from 0° to 90° with respect to that of the other OAM beam, we observe the gradual disappearance of the interference petal-like patterns into the noninterference single bright rings. Subsequently, we use the eraser of a diagonal polarizer to retrieve the characteristic petal-like interference. The experimental results can be well explained in the frame of single-photon Greenberger-Horne-Zeilinger-like (GHZ-like) entanglement. Our work may be beneficial to understanding the wave-particle duality of light.
ABSTRACT The complementarity principle, as the cornerstone of quantum information, is both counterintuitive and inherently characterized by mutual exclusivity. In this work, we construct a quantum erasure scheme utilizing polarization and orbital angular momentum (OAM) two‐photon hybrid entanglement, and develop a first‐photon physics‐enhanced dual‐branch residual attention network with physical constraints to visualize the disappearance and reappearance of single‐photon petal‐like interference patterns, with much fewer than one photon per pixel and without the need for exhaustive detection of all OAM modes. This work not only helps people to deepen their intuitive understanding of the which‐path concept in quantum mechanics, but also advances quantum imaging in the visualization of subtle changing quantum phenomena.
Uncertainty relations are core to both classical and quantum physics, and lend themselves to tests across many degrees of freedom, with structured light emerging as a vibrant tool to harness these degrees of freedom. Here, we test Popper's conjecture by replacing the traditional spatial and momentum states with angular position and orbital angular momentum (OAM) states of photons, showing that the OAM spectrum for an entangled photon passing through a virtual slit differs from that of a photon passing through a physical slit. To achieve this, we produce two OAM entangled photons, one of which is sent to a slit encoded as a digital hologram, thereby localising its angular position, all the while measuring the OAM of the other. We show that the measured OAM spectrum is limited to that of the initial SPDC photons, independent of the OAM encoded into the slit, consistent with Popper's viewpoint. Our approach allows us to overcome prior limitations imposed by physical slits and linear momentum, and offers a versatile toolbox for further probes of quantum systems.
The orbital angular momentum of light (OAM) provides a promising approach for the implementation of multidimensional states (qudits) for quantum-information purposes. In order to characterize the degradation undergone by the information content of qubits encoded in a bidimensional subspace of the orbital angular momentum degree of freedom of photons, we study how the state fidelity is affected by a transverse obstruction placed along the propagation direction of the light beam. Emphasis is placed on the effects of planar and radial hard-edged aperture functions on the state fidelity of Laguerre-Gaussian transverse modes and the entanglement properties of polarization-OAM hybrid-entangled photon pairs.