Bagrov A. R. 1, Bashkirov E. K.1
1 Samara National Research University named after Academician S.P. Korolev, Samara, Russia
Email: bashkirov.ek@ssau.ru
We demonstrated an exact solution of the quantum Liouville equation for a model consisting of three identical two-level atoms (qubits) A, B and C, and two independent resonators. Qubit A is assumed to be trapped in the first ideal resonator, and the two remaining qubits B and C are trapped in the second high-Q resonator. All qubits resonantly interact with the corresponding mode of the quantized thermal electromagnetic field of the resonator. Entanglement is assumed between the qubits at the initial time. We focus our attention on biseparable and genuine entangled W- and GHZ-type qubit states. Based on the exact solution, the Peres-Horodecki criterion (negativity) and the fidelity are calculated. Using the specified entanglement criteria, the dynamics of two- and three-qubit entanglement are analyzed for various resonator thermal field intensities, and a comparative analysis of the qubit entanglement dynamics in the model under consideration is conducted with previously studied three-qubit models. It is shown that qubits never transit to initial states during their evolution, which fundamentally distinguishes their behavior from that of qubits in previously studied three-qubit models. Keywords: qubits, genuine entangled W-type states and GHZ-states, biseparable states, thermal fields, entanglement, independent resonators, negativity, fidelity, quantum Liouville equation, sudden death of entanglement.
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