A new kind of tripartite entangled state representation in Fock space.

Abstract: We construct a tripartite entangled sate representation in Fock space, which is the eigenstate of the three compatible operators (Q 1 − Q 3), (Q 1 + Q 2 + Q 3) and (P 1 −2P 2 + P 3). Using the technique of integration within an ordered product (IWOP) of operators, we show that |p, χ 1, χ 2〉 are complete and orthogonal, and hereby qualified for making up a quantum mechanical representation. Its squeezing property is explored and an optical device for producing this three-mode entangled state are proposed. [Copyright &y& Elsevier]