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Chin. Phys. B, 2013, Vol. 22(9): 090303    DOI: 10.1088/1674-1056/22/9/090303
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Detaching two single-mode squeezing operators from the two-mode squeezing operator

Fan Hong-Yi (范洪义), Da Cheng (笪诚)
Department of Material Science and Engineering, University of Science and Technology of China, Hefei 230026, China
Abstract  It has been common knowledge that the single-mode squeezing operator and the two-mode squeezing operator are independent of each other. However, in this work we find that after using the technique of integration within Q-ordering and P-ordering, we can detach two single-mode squeezing operators from the two-mode squeezing operator. In other words, we show that the two-mode squeezing operator can be split into a P-ordered two-mode squeezing operator (with a new squeezing parameter) and two single-mode squeezing operators (with another squeezing parameter). This tells us that the two-mode squeezing mechanism also involves some single-mode squeezing.
Keywords:  Q-ordering and P-ordering      single-mode and two-mode squeezing operators      detaching  
Received:  02 February 2013      Revised:  19 March 2013      Accepted manuscript online: 
PACS:  03.65.-w (Quantum mechanics)  
  42.50.-p (Quantum optics)  
Fund: Project supported by the Fundamental Research Funds for the Central Universities of China (Grant No. WK2060140013).
Corresponding Authors:  Da Cheng     E-mail:  dacheng@ustc.edu

Cite this article: 

Fan Hong-Yi (范洪义), Da Cheng (笪诚) Detaching two single-mode squeezing operators from the two-mode squeezing operator 2013 Chin. Phys. B 22 090303

[1] Dirac P A M 1930 The Principles of Quantum Mechanics (Oxford: Clarendon Press)
[2] Fan H Y 2012 Sci. China Phys. Mech. 55 762
[3] Loudon R and Knight P L 1987 J. Mod. Opt. 34 709
[4] Zhou N R, Hu L Y and Fan H Y 2011 Chin. Phys. B 20 120301
[5] Fan H Y 2012 Representation and Transformation Theory in Quantum Mechanics-Progress of Dirac’s Symbolic Method (2nd edn.) (Hefei: USTC Press)
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