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Chinese Optics Letters

陆续通过一个腔时两个原子之间纠缠的动力学特性

Qinghong Liao, Guangyu Fang, Yueyuan Wang, Muhammad Ashfaq Ahmad, Shutian Liu

Published Jan 1, 2010• 1 citation
Publisher

Abstract

By means of concurrence, we investigate the dynamics of entanglement between two initially separate atoms in succession passing through a cavity and their interaction with a Fock state field.We then analyze the effects of the atomic coherence, photon number, and atomic motion on the time evolution of atom-atom entanglement.The results show that there can be entanglement between two separate atoms, and that the threshold time for the creation of the entanglement is controllable by the photon number, atomic motion, and field-mode structure.

DOI
10.3788/col20100812.1191

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The dynamics of entanglement of three two-level atoms initially in GHZ state system interacting with a Fock state field are investigated by means of concurrence and linear entropy.The effect of photon number on the time evolution of concurrence and linear entropy is analyzed.The results show that the phenomenon of sudden birth of entanglement between two atoms trapped in a cavity occurs and the threshold time and maximum for the creation of the entanglement can be controlled by the photon number.The measurement of the atom outside the cavity leads to the periodic evolution of the concurrence and an increase of the photon number results in decreasing in the maximum of concurrence and shortening of the evolution period of the time behavior of concurrence.
In this paper we investigated the entanglement dynamics of a pair of two-level atoms passing through a vacuum or thermal cavity one after another. We assumed that two atoms were initially prepared in separable coherent or entangled states. Using the exact solution of the density matrix evolution equation we calculated the time dependence of negativity for models with one-and two-photon interaction between atoms and the cavity field. For the two-photon model we took into account the dynamical Stark shift. We have found that the degree of atom-atom entanglement can be controlled by the Stark shift and cavity mean photon numbers.
The entanglement time evolution of atoms in Bell states |β and |β interacting with the two-mode entangled coherent field is investigated by means of full quantum theory and numerical calculations.The effects of the atoms′ initial state,mean photon numbers of field,the degree of the entanglement for the entangled coherent fields,and the coupling strength of interaction between atoms on the entanglement are discussed.The results show that the entropy time evolutions appear regular with the increase of the mean photon numbers of field.The frequency and amplitude of the oscillation decrease with the increase of the coupling strength of interaction between atoms.But when the degree of the entanglement for the entangled coherent fields changes,the frequency and amplitude of the entropy oscillation won′t change.
We investigate the entanglement and thermal entanglement between moving atom and Single-mode cavity in two-photon model by means of concurrence.It is shown that initial photons number and field-mode structure parameter affect entanglement and thermal entanglement in a certain degree.The evolution period of thermal entanglement doesn't change when the coupling constant between atom and cavity field has different values,while,the time of the system in maximum entanglement decreases when coupling constant reduces.Thermal entanglement decreases with the increase of system temperature when the temperature is under critical temperature.