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International Conference on Information Technology and Nanotechnology (ITNT)

Dynamics of two-photon Tavis-Cummings model with Kerr media

Eugene K. Bashkirov

Published May 23, 2022• 1 citation
Publisher

Abstract

The entanglement between two qubits not-resonantly interacting with a single-mode field of an ideal resonator with Kerr media via degenerate two-photon transitions was studied. The exact solution for time-dependent density matrix and calculated on its basis the qubit-qubit entanglement parameter - negativity was derived. The results showed that Kerr media and detuning dramatically affected the entanglement behavior. More interestingly, that for initial entangled qubits states Kerr media and detuning avoids the entanglement sudden death effect.

DOI
10.1109/itnt55410.2022.9848606

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The entanglement between two two-level atoms (qubits) interacting not-resonantly with a one mode of thermal field in a lossless cavity via effective degenerate two-photon transitions is investigated. Based on the exact solution for the time-dependent density matrix of the system under consideration, negativity is calculated as a measure of the entanglement of atoms. The influence of a detuning on the dynamics of entanglement of atoms for separable and entangled initial atomic states and thermal cavity state is investigated.
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In this article, we have studied the entanglement dynamics of three identical qubits (natural or artificial two-level atoms) resonantly interacting with the one mode of the thermal field of a microwave lossless resonator via one-photon transitions. An exact solution of the quantum time Schrodinger equation is found for the total wave function of the system for the initial separable and entangled states of qubits and the Fock initial state of the resonator. On the basis of this solution, an exact solution of the quantum Liouville equation for the total time-dependent density matrix of the system in the case of a thermal field of the resonator is constructed. The exact solution for the full density matrix is used to calculate the criterion of entanglement of pairs of qubits negativity. The resultsof numerical simulation of the time dependence of the negativity of pairs of qubits showed that with an increase in the intensity of the thermal resonator field, the degree of entanglement of pairs of qubits decreases. It is also shown that In the model under consideration, for any initial states of qubits and intensities of the thermal field of the resonator, the effect of sudden death of entanglement takes place. This behavior of the entanglement parameter in the model under consideration differs from that in the two-qubit model. For two-qubit model, the effect of the sudden death of entanglement takes place only for the initial entangled states of qubits and intense thermal fields of the resonator.