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Acta Sinica Quantum Optica

The Study on Entanglement in the Resonant Interaction Between one of the two Entangled Two-level Atoms and Cavity Field

Yun‐Jie Xia

Published Jan 1, 2006• 0 citations

Abstract

When one of the two entangled two-level atoms interacts with a single-mode vacuum cavity resonantly,an arbitrary state measurement is made on one part of the system to control the entanglement state of the other two parts through choosing evolution times.The paper investigates the evolution characteristics of the three-body entanglement and the entanglement between two parts of the system at different initial state when measurements are not made.The results show that all entanglement in this system oscillates periodically,w-entangled state can be gotten via choosing appropriate initial state and interaction time,and the initial entanglement information between two atoms can be completely transferred to the atom outside of the cavity and the cavity field at a particular evolution moment.

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Considering three two-level atoms initially in the W state, then two of them are placed into two initially empty cavities respectively and made resonantly interacted. The two-atom entanglement evolution inside cavities is investigated. The effects of rotational manipulation and state-selective measurement of the atoms outside the cavities on the two-atom entanglement evolution inside cavities are discussed. The results obtained using the numerical method show that the two-atom entanglement inside cavities is controlled by manipulating the atom outside the cavity.

Considering three two-level atoms initially in the W or Greenberger—Home—Zeilinger (GHZ) state, one of the three atoms is put into an initially coherent light cavity and made to resonantly interact with the cavity. The two-atom entanglement evolution outside the cavity is investigated. The influences of state-selective measurement of the atom inside the cavity and strength of the light field on the two-atom entanglement evolution outside the cavity are discussed. The results obtained from the numerical method show that the two-atom entanglement outside the cavity is strengthened through state-selective measurement of the atom inside the cavity. In addition, the strength of the light field also influences the two-atom entanglement properties.

In light of quantum theory,we investigate the entanglement properties of two entangled two-level atoms that interact resonantly with a single-mode vacuum field with atomic motion.The results show that if the two atoms are prepared in maximun entangled(EPR)state initially,the maximum of three-body entanglement measure is equated with the perfect three-body W entangled state.The parameter of field-mode structure p influences the time evolution osciuation property of three-body entlinglement measure,with the gradually increasing of p,the average of three-body entanglement measure will gradually decrease,three-body entangled state will tend to disentangled state inch by inch.

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.