A new finite-dimensional pair coherent state studied by virtue of the entangled state representation and its statistical behavior

作者：Meng Xiang Guo^*; Wang Ji Suo; Liang Bao Long

来源：Optics Communications, 2010, 283(20): 4025-4031.

DOI：10.1016/j.optcom.2010.05.058

• Finite-dimensional pair coherent state
• The technique of integration within an ordered product of operator
• Entangled state representation
• Statistical behavior

In this paper we construct a new type of finite-dimensional pair coherent states vertical bar xi, q > as realizations of SU(2) Lie algebra. Using the technique of integration within an ordered product of operator, the nonorthogonality and completeness properties of the state vertical bar xi, q > are investigated. Based on the Wigner operator in the entangled state vertical bar tau > representation, the Wigner function of vertical bar xi, q > is obtained. The properties of vertical bar xi, q > are discussed in terms of the negativity of its Wigner function. The tomogram of vertical bar xi, q > is calculated with the aid of the Radon transform between the Wigner operator and the projection operator of the entangled state vertical bar eta, kappa(1), kappa(2)>. In addition, using the entangled state vertical bar tau > representation of vertical bar xi, q > to show that the states vertical bar xi, q > are just a set of energy eigenstates of time-independent two coupled oscillators.

• 出版日期2010-10-15
• 单位聊城大学; 曲阜师范大学