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Saratov Fall Meeting: Laser Physics, Photonic Technologies, and Molecular Modeling

Thermal entanglement in Tavis-Cummings models with Kerr media

Eugene K. Bashkirov

Published Apr 29, 2022• 2 citations
Publisher

Abstract

In this paper, we investigated the entanglement dynamics between two dipole-coupled qubits not-resonantly interacting with a thermal one-mode field of lossless cavity with Kerr media. We obtained the exact solution for time-dependent density matrix and calculated on its basis the qubit-qubit entanglement parameter – negativity. The results show that Kerr nonlinearity greatly affected the entanglement behavior. More interestingly, that for initial entangled qubits states Kerr media avoids the entanglement sudden death effect.

DOI
10.1117/12.2625838

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We found the exact solution for a model consisting of two dipole-coupled qubits, one of which is an isolated, and the other interacts with the thermal mode of a cavity with the Kerr medium. The results showed that Kerr nonlinearity may greatly enhance the degree of entanglement induced by a thermal field both for separable and entangled initial states of qubits. We also showed the possibility of the disappearance of the sudden death of entanglement for a model with a Kerr nonlinearity. Keywords: qubits, thermal field, Kerr nonlinearity, dipole-dipole interaction, entanglement, sudden death of entanglement.
We obtained a solution of the Liouville equation for a system of three identical qubits interacting without detuning with a thermal field of a cavity with a Kerr medium, for two type of initial pure genuine W-entangled qubits states. On its basis, three entanglement parameters: fidelity, tangle and pairwise negativities were calculated. We obtained that sudden death of entanglement takes place for large intensities of the cavity thermal noise for all considered W-states. We also showed that Kerr nonlinearity prevents the destruction of the initial qubits entanglement induced by the thermal noise of the cavity and eliminates the sudden death of entanglement.
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.