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

Entanglement in a detuned double Jaynes-Cumming model

Mikhail M. Evseev, Eugene K. Bashkirov

Published Jun 3, 2019• 1 citation

Abstract

In this paper, we investigated the entanglement dynamics between two superconducting qubits in the framework of not-resonant double Jaynes-Cummings model taking into account the direct dipole-dipole interaction. We explored the dependence of the atom-atom entanglement on the strength of the dipole-dipole interaction and detuning. The results show these parameters affect the period of negativity oscillations but not the maximum value of entanglement in contrast to two-atom Jaynes-Cummings model with common cavity mode.

DOI: 10.1117/12.2520115

Related papers

Dynamics of two superconducting qubits interacting with two different quantum resonators

Mikhail M. Evseev, Eugene K. Bashkirov

In this paper, we have investigated the entanglement dynamics between two initially entangled superconducting qubits in the framework of a double Jaynes-Cummings model with different atom-filed coupling constants and detunings taking into account the direct dipole-dipole interaction. 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 the different coupling constants and the detunings. The results show these parameters have great impact on the amplitude and the period of the atom-atom entanglement evolution. In addition, the presence of sufficiently large dipole-dipole interaction leads to stabilization of entanglement for all Bell-types initial qubits states and different couplings and detunings.

Proceedings of SPIE, the International Society for Optical Engineering/Proceedings of SPIEApr 14, 20171 citation

The influence of dipole-dipole interaction on entanglement of two superconducting qubits in the framework of double Jaynes-Cummins model

Mikhail M. Evseev, Eugene K. Bashkirov

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.

Journal of Physics Conference SeriesNov 1, 20174 citations

Atom-atom entanglement in the double Jaynes-Cummings model

Eugene K. Bashkirov

We investigated the entanglement between two qubits interacting with two independent modes of lossless resonators taking into account the dipole-dipole interaction. The model with different qubit-field couplings and detunings is under consideration. We derived the exact solution for considered model and investigated the dependence of the atom-atom entanglement on the strength of the dipole-dipole interaction and other parameters of the considered system. The results showed that the presence of a sufficiently large dipole-dipole interaction leads to stabilization of initial atom-atom entanglement.

Saratov Fall Meeting: Laser Physics, Photonic Technologies, and Molecular ModelingApr 26, 20180 citations

Detuning and dipole-dipole interaction effects on the entanglement of two qubits interacting with quantum fields of resonators

Eugene K. Bashkirov

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.

International Conference on Information Technology and Nanotechnology (ITNT)Jan 1, 20170 citations

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

Anatoly Vorobiev, Eugene K. Bashkirov

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.

Saratov Fall Meeting: Laser Physics, Photonic Technologies, and Molecular ModelingApr 26, 20180 citations

Modeling of entanglement behavior of two dipole-coupled superconducting qubits interacting with quantum ﬁelds in lossless cavities

Л. Д. Покроєва, Т. В. Дрожжина, Коченгіна М.В.

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.

Jan 1, 20170 citations