Continuum variable entangled state generated by an asymmetric beam splitter

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The generating entangled state by using a 50/50 beamsplitter has been discussed in the literature before. In this paper we explore how to use an asymmetric beam-splitter to produce a new kind of entangled state. We construct such kind of states theoretically and then prove that they make up a complete and orthonormal representation in two-mode Fock space. Its application in finding new squeezing operator and new squeezed state is introduced.