Entanglement Involved in Pair Coherent State Studied via Wigner Function Formalism

Xiang‐Guo Meng, Ji‐Suo Wang, Hong-Yi Fan

Hong-Yi Fan, Jintong Chen

Liyun Hu, Fan Hong-Yi

We calculate Wigner function, tomogram of the pair coherent state by using its Schmidt decomposition in the coherent state representation. It turns out that the Wigner function can be seen as the quantum entanglement (QE) between two two-variable Hermite polynomials (TVHP) and the tomogram is further simplified as QE of two single-variable Hermite polynomials. The Husimi function of pair coherent state is also calculated.

França M. Santos, L. Davidovich

Meng Xiang-Guo, Ji‐Suo Wang, Liang Bao-Long +1 more

This paper introduces the generalized excited pair coherent state (GEPCS). Using the entangled state |η〉 representation of Wigner operator, it obtains the Wigner function for the GEPCS. In the ρ-γ phase space, the variations of the Wigner function distributions with the parameters q , α, k and l are discussed. The tomogram of the GEPCS is calculated with the help of the Radon transform between the Wigner operator and the projection operator of the entangled state |η 1 , η 2 , τ 1 , τ 2 〉. The entangled states |η〉 and η 1 , η 2 , τ 1 , τ 2 〉 provide two good representative space for studying the Wigner functions and tomograms of various two-mode correlated quantum states.

Fengming Zhang

In this paper we construct a new type of finite-dimensional pair coherent states(FDPCS) and investigate their complete orthonormalized properties.Based on the Wigner operator in the entangled state representation,the Wigner function of is obtained.The nonclasscial properties of are discussed in terms of the negativity of its Wigner function.