Symplectic Group Representation of the Two-Mode SqueezingOperator in the Coherent State Basis |
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| Authors: | FAN Hong-Yi CHEN Jun-Hua |
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| Affiliation: | 1. Department of Physics, Shanghai Jiao Tong University, Shanghai200030, China;2. Department of Material Science and Engineering, University of Science and Technology of China, Hefei 230026, China |
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| Abstract: | We find that the coherent state projection operator representation of the two-mode squeezing operator constitutes a loyal group representation of symplectic group, which is a remarkable property of the coherent state. As a consequence, the resultant effect of successively applying two-mode squeezing operators are equivalent to a single squeezing in the two-mode Fock space. Generalization of this property to the 2n-mode case is also discussed. |
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| Keywords: | coherent states symplecticgroup squeezing loyal group representation |
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