Chin. Phys. Lett.  2009, Vol. 26 Issue (6): 064203    DOI: 10.1088/0256-307X/26/6/064203
FUNDAMENTAL AREAS OF PHENOMENOLOGY(INCLUDING APPLICATIONS) |
Optical Four-Wave Mixing Operator, Fresnel Operators and Three-Mode Entangled State Representation
MA Shan-Jun
College of Physics and Communication Electronics, Jiangxi Normal University, Nanchang 330022
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MA Shan-Jun 2009 Chin. Phys. Lett. 26 064203
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Abstract We analyse the optical four-wave mixing operator S and relate it to the two-mode Fresnel operator. It is shown that the direct product of the two-mode Fresnel operator and the single-mode Fresnel operator has a natural representation on the basis of a three-mode entangled state, which is constructed by S and a beam splitter transform.
Keywords: 42.50.Dv      03.67.-a      03.65.Bz     
Received: 04 March 2009      Published: 01 June 2009
PACS:  42.50.Dv (Quantum state engineering and measurements)  
  03.67.-a (Quantum information)  
  03.65.Bz  
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https://cpl.iphy.ac.cn/10.1088/0256-307X/26/6/064203       OR      https://cpl.iphy.ac.cn/Y2009/V26/I6/064203
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Articles by authors
MA Shan-Jun
[1] Scully M O and Zubairy M S 2000 Quantum Optics(London: Cambridge University) p 471
[2] Loudon R and Knight P L 1987 J. Mod. Opt. 34709
[3] Fan H Y and Lu H L 2005 Phys. Lett. A 334 132
[4] Fan H Y and Jiang N Q 2005 Physics Scripta 71277
[5] Ma S J and Hu L Y 2008 Commun. Theor. Phys. 50489
[6] Klauder J R and Skargerstam B S 1985 Coherent States(Singapore: World Scientific)
[7] Fan H Y 2003 J. Phys. B: Quantum Semiclass 5 1 W\"{unsche A 1999 J. Phys. B: Quantum Semiclass 1 11
[8] Fan H Y, Lu H L and Fan Y 2006 Ann. Phys. 321480
[9] Ma S J and Hu L Y 2008 Commun. Theor. Phys. 491295
[10] Fan H Y and Hu L Y 2008 Chin. Phys. B 17 1640
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