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On the entangled fractional squeezing transformation |
Hong-Yi Fan1( ),Jun-Hua Chen2,*(),Peng-Fei Zhang3 |
1. Department of Physics, Ningbo University, Ningbo 315211, China
2. Department of Material Science and Engineering, University of Science and Technology of China, Hefei 230026, China
3. Department of Modern Physics, University of Science and Technology of China, Hefei 230026, China |
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Abstract We propose an entangled fractional squeezing transformation (EFrST) generated by using two mutually conjugate entangled state representations with the following operator: e-iα(a1?a2?+a1a2)eiπa2?a2; this transformation sharply contrasts the complex fractional Fourier transformation produced by using e-iα(a1?a2?+a2?a2)eiπa2?a2 (see Front. Phys. DOI 10.1007/s11467-014-0445-x). The EFrST is obtained by converting the triangular functions in the integration kernel of the usual fractional Fourier transformation into hyperbolic functions, i.e., tanα → tanhα and sinα → sinhα. The fractional property of the EFrST can be well described by virtue of the properties of the entangled state representations.
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| Keywords
entangled fractional squeezing transformation
entangled state representation
squeezing operator
core operator
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Corresponding Author(s):
Jun-Hua Chen
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Issue Date: 13 March 2015
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