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Acta Physica Sinica

Sudden birth and control of entanglement between two atoms successively passing through a bimodal cavity

Liao Qing-Hong, Liu Ye

Published Jan 1, 2012• 1 citation
Publisher

Abstract

The dynamics of entanglement of two atoms passing through a bimodal cavity one after another are investigated by employing the concurrence. The effects of the atomic coherence of the first atom and the initial entanglement of the cavity field on the time evolution of atom-atom entanglement are analyzed. The results show that the phenomenon of sudden birth of entanglement between two atoms occurs under some conditions and the maximum for the creation of the entanglement is dependent on the initial entanglement of the cavity field. Moreover, the threshold time and maximum for the creation of the entanglement can be controlled by changing the amplitude of atom. We find that the proposal may provide us with a theoretical way to control and manipulate the entanglement.

DOI
10.7498/aps.61.150301

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The dynamics of entanglement of two atoms passing through a bimodal cavity one after another are investigated by employing the concurrence. The effects of the atomic coherence of the first atom and the initial entanglement of the cavity field on the time evolution of atom-atom entanglement are analyzed. The results show that the phenomenon of sudden birth of entanglement between two atoms occurs under some conditions and the maximum for the creation of the entanglement is dependent on the initial entanglement of the cavity field. Moreover, the threshold time and maximum for the creation of the entanglement can be controlled by changing the amplitude of atom. We find that the proposal may provide us with a theoretical way to control and manipulate the entanglement.
The entanglement dynamics of two atoms initially in an entangled state system interacting with a bimodal field is investigated by making use of the concurrence and linear entropy.The effect of the initial entanglement degree of two atoms and the cavity field on the time evolution of concurrence is analyzed.The results show that the phenomenon of sudden death of the entanglement between two atoms occurs.The length of the death time interval is independent of the initial entanglement degree of two atoms.However,the death time depends on the initial entanglement degree of the cavity field.The atom and the field are entangled during all the evolution process.
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.
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.
By employing the concurrence, we investigate the dynamics of entanglement between two atoms in a double two-photon Jaynes-Cummings model when the cavity field is previously in a maximally entangled state. The influence of the atomic coherence on the time evolution of the atom-atom entanglement is examined. It is shown that the phenomenon of the sudden birth of entanglement occurs, and the atomic coherence decreases the degree of the atom-atom entanglement. Moreover, it is found that a maximally entangled two-atom state can be generated.
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.