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Chin. Phys. B, 2015, Vol. 24(1): 010301    DOI: 10.1088/1674-1056/24/1/010301
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A new optical field generated as an output of the displaced Fock state in an amplitude dissipative channel

Xu Xue-Fen(许雪芬)a, Fan Hong-Yi(范洪义)b
a Department of Fundamental Courses, Wuxi Institute of Technology, Wuxi 214121, China;
b Department of Material Science and Engineering, University of Science and Technology of China, Hefei 230026, China
Abstract  

We propose a new optical field and show that such an optical field can be generated as an output of a displaced Fock state in an amplitude dissipative channel. We derive new generating function formulas and binomial formula involving two-variable Hermite polynomials to reach this result. The photon number average in this new optical field is (m+|α|2)e-2κt, which indicates that controlling the photon number can be realized by adjusting the value of m or |α|2 or κ. The time evolution law of displaced Fock state in a thermo reservoir is thus revealed.

Keywords:  thermo entangled state representation      displaced Fock state      amplitude dissipative channel      two-variable Hermite polynomials  
Received:  10 June 2014      Revised:  08 August 2014      Accepted manuscript online: 
PACS:  03.65.-w (Quantum mechanics)  
  42.50.-p (Quantum optics)  
Fund: 

Project supported by the National Natural Science Foundation of China (Grant Nos. 11174114 and 11175113) and the Natural Science Foundation of Wuxi Institute of Technology of China (Grant No. 4013012931).

Corresponding Authors:  Xu Xue-Fen     E-mail:  xuxf@wxit.edu.cn

Cite this article: 

Xu Xue-Fen(许雪芬), Fan Hong-Yi(范洪义) A new optical field generated as an output of the displaced Fock state in an amplitude dissipative channel 2015 Chin. Phys. B 24 010301

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