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Quantum Information Processing

Robust correlations in a dissipative two-qubit system interacting with two coupled fields in a non-degenerate parametric amplifier

A.‐B. A. Mohamed, H. A. Hessian, Hichem Eleuch

Published Sep 7, 2019• 8 citations
Publisher
DOI
10.1007/s11128-019-2443-y

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Our purpose in this paper is to investigate the response of a well-known nonlinear quantum optical medium, i.e. non-degenerate parametric amplifier (NDPA), to the pair coherent and two-mode squeezed states, distinctly, both analytically and numerically. To achieve the aim, we start from the NDPA quantum Hamiltonian in the rotating wave approximation (RWA) and via solving the Heisenberg equations of motion of signal and idler modes of the dynamical system is derived, by which we can achieve the time evolution of the NDPA response to the above-mentioned input field states. Accordingly, we are able to evaluate two important nonclassical properties, i.e. photonic entanglement and photon statistics (second-order correlation function and antibunching effect) after the interaction with NDPA for the output emitted fields, and compare the results with the associated quantities for the input field states. Summing up, our numerical simulations show that the amplification (and in some cases the appearance) of the considered nonclassical properties of the radiation field in the output states is clearly confirmed. The results can be beneficial for various quantum science and technology protocols, i.e. quantum communication, quantum metrology, quantum teleportation and quantum computing.
Abstract An analytical description is obtained for a system composed of two two-level atoms (qubits) coupled via dipole–dipole interplay by Su(1, 1) and Su(2) Lie group. Both qubits interact with two-mode open cavity through a non-degenerate two-photon process. We explore the influence of the dissipation rate on the non-classical correlation (NCC), based on the Hilbert–Schmidt distance and Bell’s inequality correlations. The robustness of the generated NCCs depend not only on the dipole–dipole interplay but also on the dissipation rate and the initial coherence intensity. The NCCs can be enhanced for some selected values of the dipole–dipole interaction.