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Acta Physica Sinica

The entanglement properties in the system of a two three-level atoms trapped in coupled cavities

LU Dao-ming

Published Jan 1, 2012• 1 citation
Publisher

Abstract

We study the entanglement dynamics of the system composed of a Λ-type atom and a V-type atom resonantly interacting with two coupled cavities. The evolution of the state vector of the system is given. We investigate the evolutions of atom-atom entanglement, cavity-cavity entanglement, and atom-cavity entanglement by Negativity. The influences of cavity-cavity coupling coefficient on the entanglements are discussed. The results obtained by the numerical method show that the atom-atom entanglement is strengthened and the cavity-cavity entanglement is weakened with the increase of the cavity-cavity coupling coefficient.

DOI
10.7498/aps.61.030301

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We study the entanglement dynamics of the system composed of two two-level atoms resonantly interacting with two coupled cavities. The evolutions of atom-atom entanglement, cavity-cavity entanglement and atom-cavity entanglement are investigated. The influence of coupling constant between cavities on entanglement property is discussed. The numerical results show that atom-atom entanglement property is strengthened while atom-cavity entanglement property and cavity-cavity entanglement property are weakened with the increasing of the coupling constant between cavities.
The entanglement dynamics of the system composed of three two-level atoms resonantly interacting with three coupled cavities is investigated in this paper. The influence of coupling constant between cavities on the entanglement between atoms and that between cavities are discussed. The results obtained using the numerical method show that the entanglement between atoms has a nonlinear relation with increase of the cavity-cavity coupling coefficient. On the other hand, the entanglement between cavity A and cavity B and the entanglement between cavity B and cavity C weaken with the increase of the coupling constant between cavities, but the entanglement between cavity A and cavity C strengthens with the increase of cavity-cavity coupling coefficient.
We study the entanglement dynamics of the system comprising three two-level atoms resonantly interacting with three coupled cavities which are in weak coherent states initially. The atom-atom entanglement and cavity-cavity entanglement are investigated. The influences of coupling constant between cavities and intensity of the cavity field on entanglement properties are discussed. The results obtained using the numerical method show that atom-atom entanglement and cavity-cavity entanglement are both strengthened with the increase of intensity of the cavity field; on the other hand, atom-atom entanglement is weakened and the entanglement between cavity A and cavity B is strengthened with the increase of the coupling constant between cavities, and the entanglement between cavity B and cavity C has a nonlinear relation with the increase of the cavity-cavity coupling coefficient. These results are different from those in the case that cavity field is in vacuum state initially.
We consider a system consisting of a -type atom and a V-type atom, which are individually trapped in two spatially separated cavities that are connected by an optical fiber. The evolution of the state vector of the system is given. We investigate the temporal evolution in the entanglement between atoms and that between cavities. We discuss the influence of cavity-fiber coupling coefficient on entanglement. The results obtained by the numerical method show that the entanglement between atoms and the entanglement between cavities have the same evolution regularities. On the other hand, the entanglement between atoms and that between cavities are strengthened with the increase of cavity-fiber coupling coefficient.
The two-excitation system comprising two two-level atoms resonantly interacting with two coupled cavities is analyzed.The evolution of the state vector of the system is given when the total excitation number equals two.By means of the numerical calculations,the temporal evolution in the entanglement is investigated between the atoms,between the cavities,as well as between the atom and the local cavity mode.The influences of coupling constant between cavities on the entanglements are discussed.The results obtained show that atom and atom are separable,and the cavity-cavity entanglement and the atom-cavity entanglement are weakened with increasing of the coupling constant between cavities.
Three two-level atoms are trapped in two initially empty cavities that are connected by an optical fiber.We investigate the entanglement evolution between two atoms in the same cavity and the entanglement evolution between two cavities.We discuss the influences of the state-selective measurement on the entanglement and that of fiber-cavity coupling coefficient on the entanglement.The obtained results show that atom-atom entanglement property has a nonlinear relation with increasing of the cavity-fiber coupling coefficient,and cavity-cavity entanglement property is weakened with increasing of the cavity-fiber coupling coefficient.On the other hand,the results also show that the entanglement between two cavities and that between two atoms can be strengthened through the state-selective measurement on the atom.