Chin. Phys. Lett.  2010, Vol. 27 Issue (4): 044206    DOI: 10.1088/0256-307X/27/4/044206
FUNDAMENTAL AREAS OF PHENOMENOLOGY(INCLUDING APPLICATIONS) |
New Approach for Normalizing Photon-Added and Photon-Subtracted Squeezed States

FAN Hong-Yi1, JIANG Nian-Quan2

1Department of Physics, Shanghai Jiao Tong University,Shanghai 2000302College of Physics and Electric Information, Wenzhou University,Wenzhou 325035
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FAN Hong-Yi, JIANG Nian-Quan 2010 Chin. Phys. Lett. 27 044206
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Abstract

We present a new concise approach for normalizing m-photon-added squeezed state -photon-subtracted squeezed state , i.e., we construct the generating function andrespectively, after calculating them and comparing the result with the standard form of generating function of Legendre polynomials Pm,we find m<r|r>m=m!cosh mrPm(cosh r), and , where r is the squeezing parameter.

Keywords: 42.50.Dv      03.65.Ca      02.90.+p     
Received: 09 September 2009      Published: 27 March 2010
PACS:  42.50.Dv (Quantum state engineering and measurements)  
  03.65.Ca (Formalism)  
  02.90.+p (Other topics in mathematical methods in physics)  
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https://cpl.iphy.ac.cn/10.1088/0256-307X/27/4/044206       OR      https://cpl.iphy.ac.cn/Y2010/V27/I4/044206
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FAN Hong-Yi
JIANG Nian-Quan
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