a Department of Physics, Laboratory of Atoms and Radiation, Liaoning University, Shenyang 110036, China; b Laboratory of Optical Physics, Institute of Physics, Chinese Academy of Sciences, Beijing 100080, China
Abstract By applying higher powers of the Bogoliubov transformation operator $b^{\dagger }=\nu^*a+\mu^*a^{\dagger}$ to the two-photon coherent states (or minimum uncertainty squeezed states) we construct a new type of quantum state which we call the generalized excited two-photon coherent states. Analytic expressions for the quantum statistical properties are derived, and through numerical computation the phase space quasi-probability distributions are found. These states can exhibit highly nonclassical behaviour depending on the degree of excitation m and other parameters. For particular values of two parameters $\lambda$ and $\rho$, these generalized states reduce to other classes of coherent states formerly reported. Our theory thus presents a much broader approach to these types of quantum states.
Received: 16 December 2003
Revised: 09 May 2004
Accepted manuscript online:
Fund: Project supported by the National ‘973' Programme for Fundamental Research, the Chinese Academy of Sciences, the National Natural Science Foundation of China (Grant No 60178013), and the Science and Technology Council of Liaoning Province (Grant No 200110
Cite this article:
Wu Wei (吴炜), Wu Ling-An (吴令安), Xin Zong-Zheng (辛宗政) A new class of quantum states generated by m-fold application of Bogoliubov's transformation 2004 Chinese Physics 13 1269
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