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Optical and Quantum Electronics

Interaction of a superconducting qubit and a nonlinear field under energy dissipative effect: entanglement and nonclassical properties

Shatha A. Aldaghfag, Zainab Mufarreh Elqahtani, K. Berrada, S. Abdel‐Khalek

Published Oct 1, 2020• 1 citation
Publisher
DOI
10.1007/s11082-020-02551-x

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The engineering of Kerr and time-dependent coupling interactions is of great attention for treating quantum information in quantum systems and for investigating the collective behavior of large numbers of interacting particles in a cavity-qubit network. In this manuscript, we investigate the time evolution of the entanglement and some nonclassical properties of two superconducting qubits interacting with a single-mode field in the presence of a Kerr-like medium and dipole–dipole interaction without and with time-dependent coupling effect. We show that a slight alteration in the interaction, detuning, and Kerr parameters might cause a change in the entanglement of subsystem states during the evolution. By taking into account the influence of the different physical parameters, we show the statistical distributions produced in the photons of the single mode field through the calculation of the Mandel’s parameter. Finally, we find that the time-dependent Mandel’s parameter not only provide the statistical properties of the field, but also include the information of quantum entanglement for the subsystem states.
We introduce an analytical description of an open bimodal cavity containing a Λ -type three-level atom. We explore the effect of the atom–cavity nonlinear interaction, the cavity dissipation, and the initial coherent intensity on the dynamics of the nonclassical correlations for a cavity prepared initially in a superposition of nonlinear coherent states. The nonlinear interaction generates a regular entanglement between the subsystems, and populates the energy atomic states. We show that the collapse phenomenon is a good indicator of the generated quantum coherence. The growth of the entropy is used to explore the generated entanglement (if the dissipation is absent) and mixedness (in the presence of the dissipation). It is found that the generation and the robustness of the quantum synchronization and the correlations between the subsystems are very sensitive to the dissipation, the superposition, and the coherent intensity of the initial Barut–Girardello coherent states.