Entanglement Involved in Pair Coherent State Studied via Wigner Function Formalism

摘要

We calculate Wigner function,tomogram of the pair coherent state by using its Schmidt decompositionin 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 twosingle-variable Hermite polynomials.The Husimi function of pair coherent state is also calculated.