Chin. Phys. Lett.  2010, Vol. 27 Issue (2): 024210    DOI: 10.1088/0256-307X/27/2/024210
FUNDAMENTAL AREAS OF PHENOMENOLOGY(INCLUDING APPLICATIONS) |
Wavelet-Transform Spectrum for Quantum Optical States
SONG Jun1,2, FAN Hong-Yi1
1Department of Material Science and Engineering, University of Science and Technology of China, Hefei 2300262Department of Mathematics and Physics, West Anhui University, Lu'an 237012
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SONG Jun, FAN Hong-Yi 2010 Chin. Phys. Lett. 27 024210
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Abstract In the context of quantum mechanics we employ the technique of integration within an ordered product of operators to recast the classical wavelet transform to a squeezing-displacing transform between the mother wavelet vector and the state vector to be transformed. In this way we propose the wavelet-transform spectrum for quantum optical states. For some typical states we obtain numerical results which imply that the spectrum can be used to recognize a variety of quantum optical states, and the inverse wavelet transform has the possibility to play a role in quantum state engineering.
Keywords: 42.50.-p      42.25.Bs      42.30.Kq     
Received: 06 November 2009      Published: 08 February 2010
PACS:  42.50.-p (Quantum optics)  
  42.25.Bs (Wave propagation, transmission and absorption)  
  42.30.Kq (Fourier optics)  
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https://cpl.iphy.ac.cn/10.1088/0256-307X/27/2/024210       OR      https://cpl.iphy.ac.cn/Y2010/V27/I2/024210
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SONG Jun
FAN Hong-Yi
[1] Daubechies 1992 Ten Lectures on Wavelets (Philadelphia: SIAM)
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