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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 |
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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.
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Received: 02 February 2013
Revised: 19 March 2013
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 Fundamental Research Funds for the Central Universities of China (Grant No. WK2060140013). |
Corresponding Authors:
Da Cheng
E-mail: dacheng@ustc.edu
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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
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Dirac P A M 1930 The Principles of Quantum Mechanics (Oxford: Clarendon Press)
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Zhou N R, Hu L Y and Fan H Y 2011 Chin. Phys. B 20 120301
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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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