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Acta Physica Sinica

The entanglement properties in the system composed of a -type atom and a V-type atom trapped in two distant cavities connected by an optical fiber

LU Dao-ming

Published Jan 1, 2011• 7 citations
Publisher

Abstract

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.

DOI
10.7498/aps.60.120303

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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.
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.
We consider a system consisting of a Λ-type atom and a V-type atom which are individually trapped in two spatially separated cavities that are connected by an optical fiber.The evolutions of the excitions of atom 1,atom 2,cavity A,cavity B and fiber mode are given.We discuss the influence of cavity-fiber coupling coefficient on the excitions.The results obtained by the numerical method show that the excitions of cavity A and cavity B decrease with increase of the cavity-fiber coupling coefficient.On the other hand,the excition of fiber mode shows a nonlinear variation with increase of the cavity-fiber coupling coefficient.
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.
We consider a system consisting of two two-level atoms interacting with two coupled cavities via a two-photon hopping.Two atoms are individually trapped in two coupled cavities.The evolution of the state vector of the system is given by solving the Schrodinger equation.Negativity is used to quantify the degree of entanglement.By means of the numerical calculations,we investigate the temporal evolution in the entanglement between atoms and that between atom and cavity.Through comparing the results of different cavity-cavity coupling coefficients,the influence of cavity-cavity coupling coefficient on the entanglement is discussed.The obtained results show that the atom-atom entanglement and atom-cavity entanglement both display the evolution which is from the irregular oscillations to quasi-periodic oscillation with the cavity-cavity coupling coefficient increasing.The average value of atom-atom entanglement and that of atom-cavity entanglement sometimes increase and sometimes decrease.It shows that there is non-linear relationship between atom-atom entanglement and cavity-cavity coupling coefficient,or between atom-cavity entanglement and cavity-cavity coupling coefficient.On the other hand,when the cavity-cavity coupling coefficient is small,the entanglement between atom and cavity exhibits the phenomenon of collapse and recovery.
In this paper,we consider the situation that two of three identical two-level atoms are trapped in two coupled cavities separately and another atom is outside the cavity.The evolution of the state vector of the system is given.Three atoms are in like-W state,and optical cavities are all in vacuum state initially.Negativity is adopted to quantify the degree of entanglement.By means of the numerical calculations,we investigate the temporal evolutions of the entanglement between atoms.The influences of coupling constant between cavities and the parameter describing the atomic initial state on the entanglements are discussed.The results show that the disentanglement time zone of atom-atom entanglement is reduced,and the curve peaks of entanglements increase as initial entanglement between atoms increases.This indicates that the entanglement between atoms is strengthened with the increase of initial entanglement between atoms.The atom-atom entanglement is also strengthened with the increase of the coupling constant between cavities.On the other hand,we consider the case which the state of atom outside cavity is measured.When a direct selective measurement is performed or not,the effect of the state-selective measurement on the entanglement is discussed.We find that the entanglement between atoms can be strengthened through the state-selective measurement.
Considering a system comprised of two-level atoms resonantly interacting with weak coherent states trapped in two distant cavities connected by an optical fiber initially, we study the entanglement properties of the atom-atom, the cavity-cavity and the atom-cavity. Then the influences of the ratio between fiber-cavity and atom-cavity coupling intensity, the intensity and the phase of the cavity field on the entanglement properties are investigated numerically. It is shown that the entanglements of the atom-atom, the cavity-cavity and the atom-cavity vary with time in the periodical or approximately periodical manner; the entanglement can be transferred from cavity-cavity to atom-atom reciprocally. Compared with the entanglements of atom-atom and cavity-cavity, the varying period of atom-cavity entanglement is short. The ratio of fiber-cavity coupling intensity to atom-cavity coupling intensity and the phase of cavity field affect the entanglement properties greatly. The great entanglement can be achieved by using a smaller ratio of coupling intensity between fiber-cavity and atom-cavity.