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Optical field’s quadrature excitation studied by new Hermite-polynomial operator identity |
| Fan Hong-Yi (范洪义)a b, He Rui (何锐)b, Da Cheng (笪诚)b, Liang Zu-Feng (梁祖峰)c |
a Department of Physics, Ningbo University, Ningbo 315211, China;
b Department of Material Science and Engineering, University of Science and Technology of China, Hefei 230026, China;
c Department of Physics, Hangzhou Normal University, Hangzhou 310036, China |
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Abstract We study the optical field's quadrature excitation state Xm|0>, where X=(a+a)√2 is the quadrature operator. We find it is ascribed to the Hermite-polynomial excitation state. For the first time, we determine this state's normalization constant which turns out to be a Laguerre polynomial. This is due to the integration method within the ordered product of operators (IWOP). The normalization for the two-mode quadrature excitation state is also completed by virtue of the entangled state representation.
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Received: 18 February 2013
Revised: 11 March 2013
Accepted manuscript online:
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PACS:
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03.65.-a
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02.30.Gp
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(Special functions)
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| Fund: Project supported by the National Natural Science Foundation of China (Grant Nos. 11175113 and 11275123). |
Corresponding Authors:
Fan Hong-Yi, He Rui
E-mail: fanhongyi@nbu.edu.cn; heruim@mail.ustc.edu.cn
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Cite this article:
Fan Hong-Yi (范洪义), He Rui (何锐), Da Cheng (笪诚), Liang Zu-Feng (梁祖峰) Optical field’s quadrature excitation studied by new Hermite-polynomial operator identity 2013 Chin. Phys. B 22 080301
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| [1] |
Walls D F and Milburn G J 1994 Quantum Optics (Berlin: Springer)
|
| [2] |
Hu L Y and Fan H Y 2009 Phys. Scr. 79 035004
|
| [3] |
Wenger J, Tualle-Brouri R and Grangier P 2004 Phys. Rev. Lett. 92 153601
|
| [4] |
Zavatta A, Viciani S and Bellini M 2004 Science 306 660
|
| [5] |
Lee S Y and Nha H 2010 Phys. Rev. A 82 053812
|
| [6] |
Wang S, Xu X X, Yuan H C, Hu L Y and Fan H Y 2011 J. Opt. Soc. Am. B 28 2149
|
| [7] |
Fan H Y 2003 J. Opt. B: Quantum Semiclass. Opt. 5 R147
|
| [8] |
Fan H Y, Lu H L and Fan Y 2006 Ann. Phys. 321 480
|
| [9] |
Gradshteyn I S and Ryzhik I M 1980 Table of Integrals, Series, and Products (New York: Academic Press)
|
| [10] |
Fan H Y and Jiang N Q 2010 Phys. Scr. 82 055403
|
| [11] |
Fan H Y, Ren G, Hu L Y and Jiang N Q 2010 Chin. Phys. B 19 114206
|
| [12] |
Fan H Y, Yuan H C, Xu X X and Jiang N Q 2011 Phys. Scr. 83 015403
|
| [13] |
Liu T K, Shan C J, Liu J B and Fan H Y 2010 Chin. Phys. B 19 090307
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