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Acta Physica Sinica

Entanglement evolution between atoms in the non-degenerate two photons Tavis-Cummings model in resonance and non-resonance cases

Zhang Guofeng, Bu Jing-Jing, 北京航空航天大学物理科学与核能工程学院物理系，北京 100191

Published Jan 1, 2010• 7 citations
Publisher

Abstract

The entanglement character between a two-level atom and a two-mode field as well as two-level atoms in the non-degenerate two photons Tavis-Cummings model in the resonance and non-resonance cases have been investigated, and the analytical expression about entanglement is obtained. Based on two kinds of initial states, the effects of field frequency, atomic frequency and dipole-dipole coupling between atoms on the entanglement are shown in detail. The cases of resonance and non-resonance are compared.

DOI
10.7498/aps.59.1462

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The entanglement character between a two-level atom and a two-mode field as well as two-level atoms in the non-degenerate two photons Tavis-Cummings model in the resonance and non-resonance cases have been investigated, and the analytical expression about entanglement is obtained. Based on two kinds of initial states, the effects of field frequency, atomic frequency and dipole-dipole coupling between atoms on the entanglement are shown in detail. The cases of resonance and non-resonance are compared.
Abstract Entanglement between two identical two-level atoms (qubits) that interact nonresonantly with the thermal field of a single-mode ideal resonator via effective degenerate two-photon transitions is studied. Based on an exact solution for the time-dependent density matrix, negativity is calculated as a measure of atom entanglement. The effect detuning between the atomic frequencies and the doubled frequency of the resonator field has on the dynamics of qubit entanglement in cases of separable and entangled initial atomic states is investigated.
We investigated the entanglement time evolution of two entangled two-level atoms. The two atoms can undergo multiphoton transition when they interact resonantly with a single-mode field in the coherent state. The results show that the two-atom entangled state evolves periodicity. The influence of the two-atom initial state，the dipole-dipole coupling intensity between two atoms，the parameter of the coherent state and the number of the transitional photons on the entanglement degree of two atoms are revealed. When the initial state is a maximum entangled state，the state of the two entangled atoms will forever stay in this maximum entangled state. So this kind of entanglement state can be used for quantum information storage.
We investigate the entanglement time evolution of two entangled two-level atoms that interact resonantly with a single-mode field in the Fock state. The results show that the two-atom entanglement state appears with periodicity. The influence of the two-atom initial state, the dipole-dipole coupling intensity between two atoms, and the field in the Fock state on the entanglement degree of two atoms are revealed. Meanwhile the two-atom quantum state will forever stay in the maximum entangled state when the initial state is proper.
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.