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

Influence of dipole-dipole interaction and detuning on entanglement dynamics in two-atom Jaynes-Cummings model

Anatoly Vorobiev, Eugene K. Bashkirov

Published Apr 26, 2018• 0 citations
Publisher

Abstract

We have investigated the dynamics of entanglement of two identical qubits non-resonantly interacting with one mode of a thermal electromagnetic field in a lossless cavity in the presence of a direct dipole-dipole interaction. On the basis of the exact solution the evolution equation the negativity for qubits has been found. Numerical simulation of the negativity for various model parameters has been carried out. It has been shown that the interaction of qubits with the cavity thermal field can lead to their entanglement. It has been established that the detuning and dipole-dipole interaction of qubits can be used to manipulate and control the degree of their entanglement.

DOI
10.1117/12.2315779

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In this paper we have investigated the dynamics of entanglement of two identical qubits nonresonantly interacting with one mode of a thermal electromagnetic field in lossless resonator in the presence of a direct dipole-dipole interaction. On the basis of the exact solution of the considered model, the Peres-Horodetskii entanglement parameter (negativity) for qubits has been found. Numerical simulation of the negativity for various model parameters has been carried out. It has been shown that the interaction of qubits with the thermal field of the resonator can lead to their entanglement. It ha been established that the detuning and dipole-dipole interaction of qubits can be used to manipulate and control the degree of their entanglement.
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We investigate the entanglement dynamics between two dipole-coupled qubits interacting with vacuum or thermal fields of lossless resonators. Double Jaynes-Cummings model and two-atom Jaynes-Cummings model are considered taking into account detuning and direct dipole-dipole interaction. Using the dressed-states technique we derive the exact solutions for models under consideration. The computer modeling of the time dependence of qubit-qubit negativity is carried out for different strength of the dipole-dipole interaction and detuning. Results show that dipole-dipole interaction and detuning may be used for entanglement operating and controlling.
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We have investigated the entanglement dynamics between two initially entangled superconducting qubits interacting with vacuum fields of one or two independent coplanar 1D resonators. Three types of two-qubits generalized Jaynes-Cummings models with different atom-field coupling constants and detunings and direct dipole-dipole interaction has been considered. Using the dressed-states technique we have derived the exact solutions for models under consideration. The computer modeling of the time dependence of qubit-qubit entanglement (negativity) has been carried out for different strength of the dipole-dipole interaction. Results show that dipole-dipole interaction may be used for entanglement control.