2010/08/28 by Liyun Hu, Li-yun Hu, Hu, Li-yun +3
Engineering · Physics and Astronomy · #Optical and Acousto-Optic Technologies #Orbital Angular Momentum in Optics #Photonic and Optical Devices #quant-ph
paper · pdf · doi:10.48550/arxiv.1008.4846
10 pages, no figure
arxiv created 2010/08/28 · arxiv updated 2010/08/31
By introducing a new entangled state representation, we show that the Laguerre-Gaussian (LG) mode is just the wave function of the common eigenvector of the orbital angular momentum and the total photon number operators of 2-d oscillator, which can be generated by 50:50 beam splitter with the phase difference phi=Pi/2ϕ between the reflected and transmitted fields. Based on this and using the Weyl ordering invariance under similar transforms, the Wigner representation of LG is directly obtained, which can be considered as the generalized Wigner transform of Hermite Gaussian modes.