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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 |
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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.
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Received: 10 June 2014
Revised: 08 August 2014
Accepted manuscript online:
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PACS:
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03.65.-w
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(Quantum mechanics)
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42.50.-p
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(Quantum optics)
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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
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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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