ABCD law of two-mode Gaussian-entangled light fields in linear optical systems

Li Gang Wang*, Kai Ge Wang, Shi Yao ZHU

*Corresponding author for this work

Research output: Contribution to journalJournal articlepeer-review


In this paper, we have theoretically investigated the propagation of two-mode Gaussian-entangled light fields (TGLFs) passing through a linear optical system. A general transformation formula of the TGLFs passing through the linear optical system has been derived under the paraxial approximation. Based on the derived formula, we have illustrated two typical examples: in the first example, the Einstein-Podolsky-Rosen (EPR) correlation of TGLFs propagating in a free space depends on the propagation distance and its value increases greatly with the propagation distance. In the second example, it is shown that the EPR correlation can be manipulated and controlled in the lens system. Moreover, we find that the von Neumann entropy of TGLFs does not change when TGLFs travel in these linear optical systems, verifying the entanglement of TGLFs is an intrinsic property. Our results may have potential applications in the first-order linear optical systems of quantum communication systems.

Original languageEnglish
Pages (from-to)5860-5865
Number of pages6
JournalOptics Communications
Issue number24
Publication statusPublished - 1 Dec 2011

Scopus Subject Areas

  • Electronic, Optical and Magnetic Materials
  • Atomic and Molecular Physics, and Optics
  • Physical and Theoretical Chemistry
  • Electrical and Electronic Engineering

User-Defined Keywords

  • ABCD laws
  • Einstein-Podolsky-Rosen correlation
  • Linear optical systems
  • Two-mode Gaussian-entangled light fields


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