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Volume 22 Issue 6
Mar.  2010
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Article Contents
LAN Haijiang, WEI Lianfu. Wigner Functions for Eigenstates of Arbitrary Power of Annihilation Operators[J]. Journal of Southwest Jiaotong University, 2009, 22(6): 940-945.
Citation: LAN Haijiang, WEI Lianfu. Wigner Functions for Eigenstates of Arbitrary Power of Annihilation Operators[J]. Journal of Southwest Jiaotong University, 2009, 22(6): 940-945.

Wigner Functions for Eigenstates of Arbitrary Power of Annihilation Operators

  • Received Date: 27 Apr 2009
  • Publish Date: 20 Jan 2010
  • Wigner functions for the eigenstates of arbitrary power of annihilation operators were reconstructed using their expressions in Fock presentations.The distribution of the reconstructed Wigner functions in phase spaces was analyzed,based on which the nonclassical properties of these eigenstates were discussed.The results show that,the distribution of the Wigner functions for these eigenstates depend on the eigenvalues of the annihilation operators;the eignestates of the annihilation operators of the first power(i.e.,coherent states) are quasiclassical(their Wigner functions are always non-negative),and those of higher powers obviously exhibit nonclassical properties(their Wigner functions may become negative).

     

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