We studied a system that has two nonlinear oscillators with different frequencies. These oscillators are coupled via a nonlinear interaction. With the aim of excite the system, we used two external coherent numerical simulation that evolution of the system combination of Fock states. | 2018|Số 07– Tháng 3 năm 2018| TẠP CHÍ KHOA HỌC ĐẠI HỌC TÂN TRÀO ISSN: 2354 - 1431 Finite-dimensional dimensional states and entanglement generation Doan Quoc Khoac*, Luong Thi Tu Oanh a, Chu Van Lanh a, Nguyen Thi Dung b, Nguyen Van Hoa b, c Trường Cao đẳng Sư phạm Quảng ng Trị Tr Trường Đại học Vinh b Trường Đại học Hồng Đức * Email: khoa_dqspqt@. a Article info Abstract Recieved: 17/01/2018 Accepted: 07/3/2018 We studied a system that has two nonlinear oscillators with different frequencies. These oscillators are coupled via a nonlinear interaction. With the aim of excite the system, we used two external coherent elds. It follows from numerical simulation that evolution lution of the system which is likely to be a combination of Fock states. THerefore,, the deliberated system behaves as so socalled nonlinear quantum scissor. However, evolution of the system generates Bell-like like states in some times with exact high probability probability. The system creates a truncation of optical states, which leads to obtain two two-qubit states due to the nonlinear properties of oscillators and their interaction. Keywords: Entanglement state; Nonlinear oscillator; Quantum scissor; Bell-like state; Kerr-like nonlinear system. 1. Introduction There are numerous published works in quantum information, which concentrates studies of scientists for some decades and several of them are in the form of monographs [1, 2]. One of the central problems in this eld is looking mechanisms for create entanglement ement states in suitable physical systems that can create a set of n-photon photon states, named ordinarily as Kerr-like like nonlinear systems. These systems often include two nonlinear oscillators, which coupler with each other in a linear or nonlinear method. A common com method to obtain special phenomena in nonlinear optics is use laser to influence optical systems. Therefore, one is able to find the
