In this paper we consider a system with two nonlinear oscillators which are coupled via a nonlinear interaction. In order to excite the system, we use two external coherent fields. Two oscillators have different frequencies. It follows from numerical simulation that evolution of the system is similar to that of a combination of n-photon states. Therefore, the considered system behaves as so-called nonlinear quantum scissor. Nevertheless, evolution of the system generates Bell-like states in several times with very high probability. Because of the nonlinear properties of oscillators and their interaction, the system creates a truncation of optical states, which leads to obtain two-qubit states. It will also be shown that these states appear several times in the qutrit-qutrit system.
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In this paper we discuss the simulation method allowing modeling of quantum unitary dynamics. In particular, we discuss the model of two nonlinear oscillators (nonlinear coupler) excited by an external field as an example of systems exhibiting a possibility of entanglement generation. We show that Bell-like states are generated proving that the numerical method applied can be used as tools of quantum-mechanical simulations leading to interesting results.
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