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Geometric transformations of optical orbital angular momentum spatial modes

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Abstract

With the aid of the bosonic mode conversions in two different coordinate frames, we show that (1) the coordinate eigenstate is exactly the EPR entangled state representation, and (2) the Laguerre-Gaussian (LG) mode is exactly the wave function of the common eigenvector of the orbital angular momentum and the total photon number operator. Moreover, by using the conversion of the bosonic modes, theWigner representation of the LG mode can be obtained directly. It provides an alternative to the method of Simon and Agarwal.

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Authors and Affiliations

  1. College of Electrical and Photoelectronic Engineering, West Anhui University, Lu’an, 237012, China

    Rui He

  2. Reseach Center of Atmos Molecules and Optical Applications, West Anhui University, Lu’an, 237012, China

    Rui He

  3. Institute of Quantum Control and Automation, West Anhui University, Lu’an, 237012, China

    Rui He

  4. School of Computer and Information, Hefei University of Technology, Hefei, 230009, China

    Xin An

Authors
  1. Rui He
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  2. Xin An
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Correspondence to Rui He.

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He, R., An, X. Geometric transformations of optical orbital angular momentum spatial modes. Sci. China Phys. Mech. Astron. 61, 020314 (2018). https://doi.org/10.1007/s11433-017-9099-0

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  • DOI: https://doi.org/10.1007/s11433-017-9099-0

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