Abstract
We construct a tripartite entangled sate representation in Fock space, which is the eigenstate of the three compatible operators (Q1−Q3), (Q1+Q2+Q3) and (P1−2P2+P3). Using the technique of integration within an ordered product (IWOP) of operators, we show that |p, χ1, χ2〉 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.
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