TY - JOUR
T1 - ABCD law of two-mode Gaussian-entangled light fields in linear optical systems
AU - Wang, Li Gang
AU - Wang, Kai Ge
AU - ZHU, Shi Yao
N1 - Funding Information:
This work was supported by the National Nature Science Foundation of China (No. 10604047 and 61078021 ), the National High Technology Research and Development of China , Project No. 2011AA120102 , and by the financial support from RGC of HK Government . L. G. Wang would like to thank Prof. Hai-Qing Lin for the helpful discussion and encouragement.
PY - 2011/12/1
Y1 - 2011/12/1
N2 - 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.
AB - 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.
KW - ABCD laws
KW - Einstein-Podolsky-Rosen correlation
KW - Linear optical systems
KW - Two-mode Gaussian-entangled light fields
UR - http://www.scopus.com/inward/record.url?scp=80053893112&partnerID=8YFLogxK
U2 - 10.1016/j.optcom.2011.08.061
DO - 10.1016/j.optcom.2011.08.061
M3 - Journal article
AN - SCOPUS:80053893112
SN - 0030-4018
VL - 284
SP - 5860
EP - 5865
JO - Optics Communications
JF - Optics Communications
IS - 24
ER -