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International Journal of Theoretical Physics

Entanglement Between Two Dipole-Coupled Qubits Interacting with Two Independent Slightly Detuned Cavity Modes

Eugene K. Bashkirov

Published May 24, 2019• 9 citations
Publisher
DOI
10.1007/s10773-019-04126-3

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In this paper we investigated the entanglement dynamics between two superconducting qubits interacting with two microwave modes of independent coplanar cavities taking into account the direct dipole-dipole interaction. The model with different qubit-field couplings and detunings is under consideration. Using the dressed-states representation technique we derived the exact solution for considered model with qubits prepared initially in entangled states and vacuum field modes. We have carried out the dependence of the atom-atom entanglement on the strength of the dipole-dipole interaction and other parameters of the considered system such as different coupling constants and detunings. The results showed that the presence of a sufficiently large dipole-dipole interaction leads to stabilization of entanglement.
Abstract In this paper, we have investigated the entanglement dynamics between two dipole-coupled superconducting qubits not resonantly interacting with two microwave modes of independent coplanar resonators. The case of different atom-field couplings has been under consideration. Using the dressed-states technique we have derived the exact solution of the evolution equation for separable initial qubits states and field modes in the vacuum states. On its basis the negativity as a measure of qubit-qubit entanglement has been calculated. The time dependence of negativity for different values of detuning between the qubits and fields frequencies, atom-field couplings and strength of the dipole-dipole interaction has been investigated for different separable initial qubits states.
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.