Abstract
We discuss a system of nonlinear coupler pumped linearlý by an external, single-mode electromagnetic field. The coupler referred as to a nonlinear quantum scissor comprises two Kerr-like nonlinear oscillators coupled to each other through a nonlinear coupling. We show that for some values of the parameters describing the system, its evolution remains closed within a finite set of n-photon states corresponding to the two modes of the oscillators. As a consequence, the coupler discussed in the paper can behave as a qubitqutrit system. Moreover, we show that the system dynamics can lead to the generation of Bell-like states.
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