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Journal of Optoelectronics·laser

Entanglement dynamics in the system of W-like states atoms interacting with coupled cavities

LU Dao-min

Published Jan 1, 2014• 0 citations
OpenAlex

Abstract

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.

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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 three two-level atoms initially in the W state,two atoms of the three atoms were put into initially empty cavity and made resonant interaction.The atom-cavity entanglement evolution and entanglement evolution between two cavities were investigated.The influences of state-selective measurement of the atom outside cavity on entanglement properties were discussed.The results obtained using the numerical method show that atom-cavity entanglement property and entanglement property between two cavities are strengthened through the state-selective measurement of the atom outside the cavity.
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.
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.
Considering two two-level atoms initially in the entanglement state,one atom of two atoms is put into initially Fock state light cavity and has resonant interaction.The entanglement evolution between atom in cavity and light field is investigated.Negativity is used to quantify the degree of entanglement.Through comparing the results if direct selective measurement is performed or not,the influences of state-selective measurement of the atom outside the cavity on the entanglement properties of between atom inside cavity and field are discussed.The results obtained using the numerical method show that the entanglement between atom inside cavity and light field is strengthened through the state-selective measurement of the atom outside the cavity.
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.
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.