New relation between input and output fields based on Collins diffraction formula and the Wigner function in entangled state representation

DOI10.1080/09500340903377758zbMath1184.78047arXiv0901.0364OpenAlexW2016485587MaRDI QIDQ5306538

Li-Yun Hu, Hong-Yi Fan

Publication date: 9 April 2010

Published in: Journal of Modern Optics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0901.0364

zbMATH Keywords

Wigner functionentangled state representationCollins diffraction formula

Mathematics Subject Classification ID

Diffraction, scattering (78A45) Quantum optics (81V80) Lasers, masers, optical bistability, nonlinear optics (78A60) Quantum coherence, entanglement, quantum correlations (81P40)

Cites Work

• 2-mode Fresnel operator and entangled Fresnel transform
• Optical transformation from chirplet to fractional Fourier transformation kernel
• Wavelet transform in the context of quantum mechanics and new orthogonal property of mother wavelets in parameter space
• Two-mode squeezed number state as a two-variable Hermite-polynomial excitation on the squeezed vacuum
• Adaption of Collins formula to fractional Fourier transform studied in the entangled state representation of quantum optics
• Eigenvectors of two particles’ relative position and total momentum
• On the Quantum Correction For Thermodynamic Equilibrium
• SU(1,1) Squeezing of SU(1,1) Generalized Coherent States
• Squeezed Light
• Can Quantum-Mechanical Description of Physical Reality Be Considered Complete?

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