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ACTA PHOTONICA SINICA

Entanglement Properties of Three Two-level Atoms System Interacting with a Fock State Field

廖庆洪 Liao Qinghong, 龚黎华 GONG Li-hua

Published Jan 1, 2012• 1 citation
Publisher

Abstract

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.

DOI
10.3788/gzxb20124103.0348

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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.
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The dynamical properties in the system of three identical two-level entangled atoms interacting with the Fock states field are investigated by mean of Schrodinger equation solution and numerical calculations. The results show that the time evolution of the atomic population operator and second order coherence degree depend on the degree of entanglement of the entangled atoms and the intensity of the Fock states optical field. If the two atoms are in un-entangled state, the atomic population reveals the periodic collapse and revival phenomenon. The atomic population reveals vacuum Rabi oscillation when the optical field is in vacuum state, and the Rabi oscillation frequency of the atomic population is shown to increase with the growth of the intensity of the optical field. If the two atoms are in entangled state, the photon reveals the bunching phenomenon with the growth of the degree of the entangled state, and the second-order correlation function is shown to increase with the growth of the degree of the entangled state.
We investigate the entanglement dynamics via the concurrence of two distant atoms interacting off-resonantly with two cavity fields in Fock states, respectively. We find that the evolution of entanglement has sudden death and sudden birth phenomena, that with the increase of photon numbers in the two cavities, the alternate frequency of sudden death and sudden birth turns fast, and that the amplitude of concurrence oscillates regularly with oscillation frequency becoming slow when the cavity fields have the same photon numbers. While, the maximum of concurrence declines and the amplitude of concurrence oscillates irregularly when the two cavity fields have different photon numbers. In addition, we find the length of death time is dependent on the initial entanglement.